SUPPLEMENTARY INFORMATION
|
|
- Tracy Phelps
- 5 years ago
- Views:
Transcription
1 doi: /nature06219 SUPPLEMENTARY INFORMATION Abrupt Onset of Second Energy Gap at Superconducting Transition of Underdoped Bi2212 Wei-Sheng Lee 1, I. M. Vishik 1, K. Tanaka 1,2, D. H. Lu 1, T. Sasagawa 1, N. Nagaosa 3, T. P. Devereaux, Z. Hussain 2, & Z. -X. Shen 1 Samples and Experimental method High quality single crystals of underdoped Bi 2 Sr 2 CaCu 2 O 8+δ with T C = 75 K (UD75K and 92K (UD92K, and an overdoped sample with T C = 86 K (OD86K were selected for the experiments. The carrier concentrations of the samples were carefully adjusted by a post annealing procedure. Slightly underdoped samples (UD92K were prepared by a heattreatment of the crystals in air at 800 C for 200 hours, followed by rapid quenching to room temperature. The onset temperature of superconducting transition, T on C, determined by SQUID magnetometry, was 92 K with a transition width less than 1 K. Heavily underdoped samples (UD75K, T on C = 75 K, were obtained by additional heat treatment of the UD92K crystals: they were sealed in an evacuated quartz-tube with P(O 2 < torr, annealed at 550 C for 200 hours, followed by rapid quenching to room temperature. Overdoped samples (OD86K, T on C = 86 K, were also obtained by additional heat treatment of the UD92K crystals; they were sealed in an quartz-tube with P(O 2 ~ 2 atm, annealed at 500 C for 200 hours, followed by rapid quenching to room temperature. Angle-resolved photoemission spectroscopy measurements were performed at beamline 5- of the Stanford Synchrotron Radiation Laboratory (SSRL with a SCIENTA R000 electron analyzer. All data shown in this paper were taken using 22.7 ev photons to excite the photo-electrons, except for the data shown in Fig. 2(d-f, in which low energy photons 1
2 (7 ev were used. Total energy resolution was set to 7 mev for the data shown in Fig. 1, Fig. 3(b and 3(c, while the data shown in Fig. 2 (a-c and Fig. 3(d were measured with an energy resolution of 5 mev. Taking the advantage of the low photon energy (7 ev, the data shown in Fig. 2(d-f were measured with an energy resolution of 3.2 mev. The measurements were performed in the Γ-Y quadrant in the 1st Brillouin zone, where the main Fermi surface near the nodal region can be well separated from the replica Fermi surface arising from the photo-electron diffraction by the super-modulation of the crystal structure. The temperature fluctuation during our measurement was less than 0.1 K. To maintain a clean surface, the sample were cleaved in situ and measured in an ultra high vacuum chamber with a base pressure of better than Torr. ARPES spectrum represents the occupied part of the single-particle spectral function, which is distorted near E F because of the Fermi-Dirac (FD function cut-off 2. An approximate way to remove this effect is to divide ARPES spectrum by an effective Fermi- Dirac function, which is generated from the convolution of the FD function at the sample temperature with the energy resolution function. This procedure allows us to trace the band dispersion above E F, where thermal population leads to appreciable spectral weight at higher temperatures. This method was applied in Fig. 1. We also note that at 22.7 ev both the bonding band and antibonding band can be resolved in our data. In the antinodal region, the antibonding band and the replica band due to crystal super-modulation mix up and can not be distinguished, so we traced the gap along the Fermi surface of bonding band, which was used to make Fig. 3 in our paper. 2
3 The issue about the resolvable gap size by ARPES at a given resolution It is a common perception that photoemission spectrum cannot resolve a gap smaller than its energy resolution. Whether photoemission spectrum can resolve the gap not only depends on the gap size, but also the details of the spectrum, such as its lineshape and width. In Fig. S1(a and S1(b, we demonstrate situations when there are two Lorentzian curves with their peaks positioned at +/- 3 mev to simulate the symmetrized EDC with 3 mev gap. The width of the Lorentzian curves is deliberately set to different values between Fig. S1(a and S1(b. As can be seen, after applying a Gaussian convolution of 5 mev FWHM to imitate the effect of energy resolution, the two peaks can still be resolved in (a, but not in (b. Although the nominal gap sizes are 3 mev in both cases, the spectrum width determines whether this gap can be resolved by 5 mev instrumental resolution. To demonstrate the resolution effects on spectrum with more realistic lineshape, the phenomenological model proposed by M. R. Norman et al. (see next section is used to generate simulated EDCs shown in Fig. S1(c. The width of the simulated EDCs is set to be comparable to that of experimental data near the nodal region at a temperature close to T C. As can be seen, 2 mev gap can be resolved even with 5 mev energy resolution. These simulations demonstrate that the error bar of our gap size measurement should not be set as the face value of the energy resolution. Instead, we estimate our error bar by taking account the uncertainty from the fitting procedure (±0.5 mev, the uncertainty of Fermi energy (±0.5 mev, and additional 100% margin, as described in the text of the paper and in the next section. 3
4 Intensity (arb. unit (a Two Lorentizans (b Two Lorentizans (c at +/- 3 mev FWHM = 2 mev ΔE=0 mev ΔE=5 mev at +/- 3 mev FWHM = 5 mev ΔE=0 mev ΔE=5 mev Model (M. Norman et al. Δ = 2 mev, Γ=20 mev ΔE= 0 mev ΔE= 5 mev ΔE=10 mev E - E F (ev E - E F (ev E - E F (ev Figure S1 Demonstrations of the resolution effects in symmetrized ARPES spectrum. (a Two Lorentzian curves with their peak positions located at +/- 3 mev and a FWHM of 2 mev to mimic the symmetrized EDC with a gap of 3 mev. A Gaussian convolution with FWHM 5 mev is applied to simulate the effect of the instrumental resolution. In this case, the two peaks (i.e. the gap can still be resolved. (b Same as (a, except for the width of the Lorentzian curve is broader (FWHM = 5 mev. In this case, the gap can not be resolved by 5 mev resolution, even though the gap size is the same as in (a. (c The phenomenological model proposed by M. R. Norman et al. is used to generate the EDCs that are comparable to the measured data. This is the same model we used for the gap fitting. The gap size (Δ is set to 2 mev and the width (Γ is set to 20 mev. The two peaks (i.e. the gap can still be resolved by 5 mev instrumental resolution (black curve, while it can not be resolved with a 10 mev instrumental resolution (blue curve. Fitting the gap size To determine the gap size, we used the phenomenological model described in Ref. 23 to fit our data. The self-energy at Fermi crossing point k F in the superconducting state may be expressed as 2 Δ ( k F, ω = iγ +, ω
5 where Γ is the life time of the quasi-particle related to the width of the spectrum and Δ represents the gap at Fermi crossing point. The spectral function is then calculated according to A( k F 1 1 1, ω = ImG( kf, ω = Im. ω Σ( k, ω F In addition, a Gaussian convolution representing the instrumental resolution was applied to the spectral function. Finally, we fit the symmetrized ARPES spectra with this convoluted spectral function to obtain Δ and Γ. In each cut, all available EDCs near k F were fitted; the gap size was determined by averaging over EDCs which are in the proximity of the EDC(s with the smallest fitted gap size. The fitted Γ of the data shown in lower panel (7 ev data of Fig. 2(c is summarized in Fig. S2(b. Other data shown in Fig. 2 also exhibit a similar temperature dependence of Γ. We note that this model fits reasonably well to those data with a clear peak in the spectrum; thus, all superconducting state data shown in the paper can be fit fairly well by this model. The results shown in this paper were obtained by fitting the symmetrized data in the energy range of ±70 mev. The error bar is determined in the same manner described earlier. To obtain the gap size for the pseudogap in C5-C7, we also used the same phenomenological model. We found that the fitting is not as robust as in the superconducting gap, especially for the data taken at locations near the antinodal region, such as C7. This is because there is no clear peak in the spectrum, as illustrated in the Fig. 1(c. The fitted Δ exhibits larger fluctuation with different choice of the fitting range, yielding a larger error bar. 5
6 The collapse of the gap when temperature approaches T C In Fig. 2(a, we show the raw EDC near the Fermi crossing point to demonstrate the temperature dependence of the thermally-populated Bogoliubov quasiparticle band, which is seen to move toward E F with increasing temperature and vanishes above T C. Since this behavior can be seen directly in the raw spectrum shown in Fig. 2(a, we consider it to be strong evidence that the superconducting gap reduces and collapses across the superconducting transition. However, one might ask whether these data can be alternatively interpreted in a situation that the gap remains the same for all temperatures, but becomes irresolvable just because of the thermal broadening effect from both the Fermi function and quasiparticle life time. In this section, simulated EDCs under such scenario are demonstrated to argue that this scenario is inconsistent with our data. Starting from a simplest case, the thermal broadening effect contributed entirely from the Fermi function is illustrated in Fig. S2(a. The EDCs are first generated by the aforementioned model with parameters Δ = 15 mev, and Γ = 13.5 mev fixed for all temperatures, and then multiplied by the Fermi function at corresponding temperature. This set of parameters is consistent with the gap size of the 7 ev data shown in Fig. 2(c at 10 K, and the line width at 70K. Gaussian convolution with FWHM=3.2 mev is also applied to simulate the resolution effect. As can be seen, the peak position of the thermally-populated Bogoliubov dispersion remains at about the same energy for these temperatures, which is inconsistent with our data. Next, we demonstrate a more realistic case in which both temperature dependent Fermi function and quasiparticle lifetime are considered. In Fig. S2(c, the simulated EDCs are generated in the same procedure described in Fig. S2(a except that a temperature dependent quasiparticle lifetime obtained from our data were used (Fig. S2(b. As shown, 6
7 there is no obvious shift of the peak position of the thermally-populated Bogoliubov band within this range of Γ. This is also inconsistent with the experimental data shown in Fig. 2(a and (e. Thus, the disagreement between the simulations and experimental data strongly suggests that the gap indeed reduces and vanishes across the superconducting transition. (a (b (c Simulation Fixed Γ Pt. C Γ corresponding to 7 ev Data shown in Fig. 2(c Simulation Realistic Γ 70 K 82 K 87 K 92 K 97 K E - E F (ev Γ(meV T C Temperature (K 70 K 82 K 87 K 92 K 97 K E - E F (ev Figure S2 Simulated EDCs for the case of temperature independent gap. (a Simulated EDCs at various temperatures, which are generated by multiplying spectra created from the phenomenological model with Δ =15 mev, and Γ = 13.5 mev to the Fermi-Dirac function with corresponding temperatures. The dashed line serves as a guide-to-the-eye, which indicates the peak position of the thermally-populated Bogoliubov band. (b Fitted quasiparticle lifetime (Γ of the 7 ev data shown in Fig. 2(c. (c EDCs generated by the same procedure as those shown in (a, but with a temperature dependent Γ as graphed in (b. The peak position of the thermally-populated Bogoliubov band remains unchanged as indicated by the dashed line. 7
8 Finally, as a remark, the coherence factor of the Bogoliubov quasiparticle dispersion in cuprates has been quantitatively analyzed, which is consistent with the BCS picture 31. Simulations of temperature dependent STM spectrum One of our important findings described in this paper is the observation of a temperature dependent evolution of the gap function. An interesting question is how this temperature dependent gap function affects STM spectra at corresponding temperatures. To gain some insight into this issue, we adopted the simple model described in the Supplementary Information of Ref. 15 to simulate temperature dependent STM spectra. For simplicity, the lifetime broadening Γ is set to zero for this simulation and the linear normal state background is neglected. The gap functions used for calculating STM spectra were obtained by fitting to our data. The fitted curves are described in the following: [ ] (0 2 cos ( ( cos(6 0.1 cos( ( cos(2 10 ( C C C C k k k K T K T K T < < + Δ > > = = Δ + = Δ = Δ = Δ = Δ, where Δ 0 is set to 37 mev for the simulations of 10K and 82K, and 2 mev for that of 102K. C is set to be 0.1, describing the boundary of the gapless region on the Fermi surface at 102K. We note that the gap function for the pseudogap (T = 102K described above only valid between 0 and /. To extend to other octants of the Brillouin zone, 8
9 symmetrization and sign change is needed to maintain the d x 2 -y 2 symmetry. The gap functions are plotted in Fig. S3(a as the solid curves. (a K 82 K 102 K (b 102 K 82 K Δ (mev k (, di/dv 10 K Γ FS angle (degree V (mev Figure S3 Gap functions and simulations of temperature dependent STM spectra. (a The gap functions at different temperature are plotted versus Fermi surface angle as defined in the inset. This is the same set of data shown in Fig. 3(b. The solid curves are the fitted gap functions as described in the text. (b Simulated STM spectra with the gap functions at corresponding temperatures shown in (a. The simulated STM spectra are demonstrated in Fig. S3(b. As can be seen, the closing of the gap near the nodal region manifests mostly near the zero bias of the spectrum, while the apparent gap is dominated by the temperature independent pseudogap in the antinodal region. This is consistent with the existing temperature dependence STM data. Furthermore, it has also been mentioned in the Supplementary Information of Ref. 15 that the simple d-wave form can only fit to the low temperature STM data. This is consistent with our observation that the gap function at higher temperature (82 K is no longer a 9
10 simple d-wave form. We also note that since the nodal behavior is obscured by the larger antinodal region contribution in STM spectra, it is hard to see that the superconducting gap closes at T C, unless a proper normalization process has been applied, as demonstrated in Ref. 16. Supplementary Notes: 29. H. Matsui et al.,bcs-like Bogoliubov Quasiparticles in High-T C Superconductors Observed by Angle-Resolved Photoemission Spectroscopy. Phys. Rev. Lett. 90, (
ARPES studies of cuprates. Inna Vishik Physics 250 (Special topics: spectroscopies of quantum materials) UC Davis, Fall 2016
ARPES studies of cuprates Inna Vishik Physics 250 (Special topics: spectroscopies of quantum materials) UC Davis, Fall 2016 Goals of lecture Understand why gaps are important and various ways that gap
More informationA momentum-dependent perspective on quasiparticle interference in Bi 2 Sr 2 CaCu 2 O 8+δ
SLAC-PUB-14004 A momentum-dependent perspective on quasiparticle interference in Bi 2 Sr 2 CaCu 2 O 8+δ I. M. Vishik, 1,2 B. Moritz, 2 E. A. Nowadnick, 1,2 W. S. Lee, 1,2 K. Tanaka, 3 T. Sasagawa, 4 T.
More informationKey words: High Temperature Superconductors, ARPES, coherent quasiparticle, incoherent quasiparticle, isotope substitution.
Lattice Dynamics and Electron Pairing in High Temperature Superconductors A. Lanzara 1,2, G.-H. Gweon 3, S. Y. Zhou 1 1 Department of Physics, University of California, Berkeley, CA 94720, U.S.A. 2 Materials
More informationProbing the Electronic Structure of Complex Systems by State-of-the-Art ARPES Andrea Damascelli
Probing the Electronic Structure of Complex Systems by State-of-the-Art ARPES Andrea Damascelli Department of Physics & Astronomy University of British Columbia Vancouver, B.C. Outline: Part I State-of-the-Art
More informationarxiv:cond-mat/ v3 [cond-mat.supr-con] 23 May 2000
Electronic Structure of La 2 x Sr x CuO 4 in the Vicinity of the Superconductor-Insulator Transition arxiv:cond-mat/99248v3 [cond-mat.supr-con] 23 May 2 A. Ino, C. Kim 2, M. Nakamura 3, T. Yoshida, T.
More informationHole-concentration dependence of band structure in (Bi,Pb) 2 (Sr,La) 2 CuO 6+δ determined by the angle-resolved photoemission spectroscopy
Journal of Electron Spectroscopy and Related Phenomena 137 140 (2004) 663 668 Hole-concentration dependence of band structure in (Bi,Pb) 2 (Sr,La) 2 CuO 6+δ determined by the angle-resolved photoemission
More informationAngle-resolved photoemission spectroscopy (ARPES) Overview-Physics 250, UC Davis Inna Vishik
Angle-resolved photoemission spectroscopy (ARPES) Overview-Physics 250, UC Davis Inna Vishik Outline Review: momentum space and why we want to go there Looking at data: simple metal Formalism: 3 step model
More informationSupplementary Information for Superconductivity in an electron band just above the Fermi level: possible route to BCS-BEC superconductivity
Supplementary Information for Superconductivity in an electron band just above the Fermi level: possible route to BCS-BEC superconductivity K. Okazaki 1, Y. Ito 1, Y. Ota 1, Y. Kotani 1, T. Shimojima 1,
More informationLow energy excitations in cuprates: an ARPES perspective. Inna Vishik Beyond (Landau) Quasiparticles: New Paradigms for Quantum Fluids Jan.
Low energy excitations in cuprates: an ARPES perspectie Inna Vishik Beyond (Landau) Quasiparticles: New Paradigms for Quantum Fluids Jan. 15, 2014 Acknowledgements Shen Group Professor Zhi-Xun Shen Dr.
More information0.8 b
k z (Å -1 ).8 a.6 - - -.6 1 3 q CDW.5 1. FS weight -.8 -.8 -.8.8 b.6 1 3 - - -.6 -.8.1.3-1 -1 DOS (states ev u.c. ) -1 Band Energy (evu.c. ) 4 3 1 55 54 53 5 c d w/ CDW w/o CDW -.6 - - E Supplementary
More informationObservation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator Authors: Yang Xu 1,2, Ireneusz Miotkowski 1, Chang Liu 3,4, Jifa Tian 1,2, Hyoungdo
More informationARPES studies of c-axis intracell coupling in Bi 2 Sr 2 CaCu 2 O 8þd
Journal of Physics and Chemistry of Solids 63 (2002) 2299 2304 www.elsevier.com/locate/jpcs ARPES studies of c-axis intracell coupling in Bi 2 Sr 2 CaCu 2 O 8þd A.D. Gromko a, Y.-D. Chuang a,b, A.V. Fedorov
More informationSUPPLEMENTARY INFORMATION
A Stable Three-dimensional Topological Dirac Semimetal Cd 3 As 2 Z. K. Liu, J. Jiang, B. Zhou, Z. J. Wang, Y. Zhang, H. M. Weng, D. Prabhakaran, S. -K. Mo, H. Peng, P. Dudin, T. Kim, M. Hoesch, Z. Fang,
More informationDimensionality controlled Mott transition and correlation effects in
Dimensionality controlled Mott transition and correlation effects in single- and bi-layer perovskite iridates Q. Wang, 1 Y. Cao, 1 J. A. Waugh, 1 S. R. Park, 1 T. F. Qi, 2 O. B. Korneta, 2 G. Cao, 2 and
More informationAngle Resolved Photoemission Spectroscopy. Dan Dessau University of Colorado, Boulder
Angle Resolved Photoemission Spectroscopy Dan Dessau University of Colorado, Boulder Dessau@Colorado.edu Photoemission Spectroscopy sample hn Energy High K.E. Low B.E. e - analyzer E F e- hν Density of
More informationFine Details of the Nodal Electronic Excitations in Bi 2 Sr 2 CaCu 2 O 8+δ
Fine Details of the Nodal Electronic Excitations in Bi 2 Sr 2 CaCu 2 O 8+δ T. Valla, T. E. Kidd, J. D. Rameau, H.-J. Noh, G. D. Gu, and P. D. Johnson Condensed Matter and Materials Science Department,
More informationTunable Dirac Fermion Dynamics in Topological Insulators
Supplementary information for Tunable Dirac Fermion Dynamics in Topological Insulators Chaoyu Chen 1, Zhuojin Xie 1, Ya Feng 1, Hemian Yi 1, Aiji Liang 1, Shaolong He 1, Daixiang Mou 1, Junfeng He 1, Yingying
More informationThe High T c Superconductors: BCS or Not BCS?
The University of Illinois at Chicago The High T c Superconductors: BCS or Not BCS? Does BCS theory work for the high temperature superconductors? We take a look at the electronic excitations using angle
More informationHow Cooper Pairs Vanish Approaching the Mott Insulator in Bi 2 Sr 2 CaCu 2 O 8+δ
doi: 1.138/nature7243 SUPPLEMENTARY INFORMATION How Cooper Pairs Vanish Approaching the Mott Insulator in Bi 2 Sr 2 CaCu 2 O 8+δ Y. Kohsaka et al. Supplementary Information I Instruments and Samples The
More informationVisualizing the evolution from the Mott insulator to a charge-ordered insulator in lightly doped cuprates
Visualizing the evolution from the Mott insulator to a charge-ordered insulator in lightly doped cuprates Peng Cai 1, Wei Ruan 1, Yingying Peng, Cun Ye 1, Xintong Li 1, Zhenqi Hao 1, Xingjiang Zhou,5,
More informationSUPPLEMENTARY INFORMATION
doi:1.138/nature9829 Supplementary Information S1: Movie of the photo-induced phase transition: Figures 2b-e show four selected XUV ARPES snapshots illustrating the most pronounced changes in the course
More informationCitation PHYSICAL REVIEW LETTERS (2000), 85( RightCopyright 2000 American Physical So
Title Discriminating the superconducting Bi2Sr2CaCu2O8+delta by interlayer t Author(s) Suzuki, M; Watanabe, T Citation PHYSICAL REVIEW LETTERS (2), 85( Issue Date 2-11-27 URL http://hdl.handle.net/2433/39919
More informationdoi: /PhysRevLett
doi: 10.1103/PhysRevLett.79.3506 Unusual Dispersion and Line Shape of the Superconducting State Spectra of Bi 2 Sr 2 CaCu 2 O 81d M. R. Norman, 1 H. Ding, 1,2 J. C. Campuzano, 1,2 T. Takeuchi, 1,3 M. Randeria,
More informationParticle-Hole Symmetry Breaking in the Pseudogap State of Bi2201
Particle-Hole Symmetry Breaking in the Pseudogap State of Bi01 M. Hashimoto* 1,, 3, R.-H. He* 1,, K. Tanaka 1,, 3, 4, J. P. Testaud 1,, 3, W. Meevasana 1,, R. G. Moore 1,, D. H. Lu 1,, H. Yao 1, Y. Yoshida
More informationSupplementary Figure S1: Number of Fermi surfaces. Electronic dispersion around Γ a = 0 and Γ b = π/a. In (a) the number of Fermi surfaces is even,
Supplementary Figure S1: Number of Fermi surfaces. Electronic dispersion around Γ a = 0 and Γ b = π/a. In (a) the number of Fermi surfaces is even, whereas in (b) it is odd. An odd number of non-degenerate
More informationSupporting Information
Supporting Information Yi et al..73/pnas.55728 SI Text Study of k z Dispersion Effect on Anisotropy of Fermi Surface Topology. In angle-resolved photoemission spectroscopy (ARPES), the electronic structure
More informationCan superconductivity emerge out of a non Fermi liquid.
Can superconductivity emerge out of a non Fermi liquid. Andrey Chubukov University of Wisconsin Washington University, January 29, 2003 Superconductivity Kamerling Onnes, 1911 Ideal diamagnetism High Tc
More informationarxiv:cond-mat/ v1 [cond-mat.supr-con] 21 Jul 2004
Influence of the Third Dimension of Quasi-Two-Dimensional Cuprate Superconductors on Angle-Resolved Photoemission Spectra arxiv:cond-mat/47555v [cond-mat.supr-con] 2 Jul 24 A. Bansil, M. Lindroos,2, S.
More informationDynamics of fluctuations in high temperature superconductors far from equilibrium. L. Perfetti, Laboratoire des Solides Irradiés, Ecole Polytechnique
Dynamics of fluctuations in high temperature superconductors far from equilibrium L. Perfetti, Laboratoire des Solides Irradiés, Ecole Polytechnique Superconductors display amazing properties: Dissipation-less
More informationAn unusual isotope effect in a high-transition-temperature superconductor
An unusual isotope effect in a high-transition-temperature superconductor G.-H. Gweon 1, T. Sasagawa 2,3, S. Y. Zhou 4, J. Graf 1, H. Takagi 2,3,5, D.-H. Lee 1,4 & A. Lanzara 1,4 1 Materials Sciences Division,
More informationTemperature and Spatial Dependence of the Superconducting
Temperature and Spatial Dependence of the Superconducting and Pseudogap of NdFeAsO 0.86 F 0.14 M. H. Pan, 1* X. B. He, 2 G. R. Li, 2 J. F. Wendelken, 1 R. Jin, 3 A. S. Sefat, 3 M. A. McGuire, 3 B. C. Sales,
More informationTemperature-Dependent Angle-Resolved Photoemission Study of High-T c Superconductors
Temperature-Dependent Angle-Resolved Photoemission Study of High-T c Superconductors Master Thesis Satoru Kudo Department of Complexity Science and Engineering, University of Tokyo February, 28 Contents
More informationSupplementary Figure 1 PtLuSb RHEED and sample structure before and after capping layer
Supplementary Figure 1 PtLuSb RHEED and sample structure before and after capping layer desorption. a, Reflection high-energy electron diffraction patterns of the 18 nm PtLuSb film prior to deposition
More informationSimple Explanation of Fermi Arcs in Cuprate Pseudogaps: A Motional Narrowing Phenomenon
Simple Explanation of Fermi Arcs in Cuprate Pseudogaps: A Motional Narrowing Phenomenon ABSTRACT: ARPES measurements on underdoped cuprates above the superconducting transition temperature exhibit the
More information2nd Annual International Conference on Advanced Material Engineering (AME 2016)
2nd Annual International Conference on Advanced Material Engineering (AME 2016) Nodal gap energy in high-tc cuprate superconductors: A new paradigm Hiroaki ANZAI1,a,*, Masashi ARITA2, Hirofumi NAMATAME2,
More informationarxiv: v2 [cond-mat.supr-con] 24 Aug 2012
Point contact spectroscopy of Cu 0.2 Bi 2 Se 3 single crystals arxiv:1111.5805v2 [cond-mat.supr-con] 24 Aug 2012 T. Kirzhner, 1 E. Lahoud, 1 K.B. Chaska, 1 Z. Salman, 2 and A. Kanigel 1 1 Physics Department,
More informationObservation of a robust zero-energy bound state in iron-based superconductor Fe(Te,Se)
Materials and Methods: SUPPLEMENTARY INFORMATION Observation of a robust zero-energy bound state in iron-based superconductor Fe(Te,Se) All the crystals, with nominal composition FeTe0.5Se0.5, used in
More informationOrigin of the shadow Fermi surface in Bi-based cuprates
Origin of the shadow Fermi surface in Bi-based cuprates A. Koitzsch, S. V. Borisenko, A. A. Kordyuk, T. K. Kim, M. Knupfer, and J. Fink Leibniz-Institute for Solid State and Materials Research, IFW-Dresden,
More informationCoexistence of Fermi Arcs and Fermi Pockets in High Temperature Cuprate Superconductors
Coexistence of Fermi Arcs and Fermi Pockets in Temperature Cuprate Superconductors Jianqiao Meng, Guodong Liu, Wentao Zhang, Lin Zhao, Haiyun Liu, Xiaowen Jia, arxiv:96.2682v2 [cond-mat.supr-con] 24 Nov
More informationSyro Université Paris-Sud and de Physique et Chimie Industrielles - Paris
Introductory lectures on Angle-resolved photoemission spectroscopy (ARPES) and its application to the experimental study of the electronic structure of solids Andrés s Felipe Santander-Syro Syro Université
More informationSurfing q-space of a high temperature superconductor
Surfing q-space of a high temperature superconductor Adam Kaminski Ames Laboratory and Iowa State University Funded by: US Department of Energy National Science Foundation The Royal Society of Great Britain
More informationTunneling Spectra of Hole-Doped YBa 2 Cu 3 O 6+δ
67 Chapter 4 Tunneling Spectra of Hole-Doped YBa 2 Cu 3 O 6+δ 1 4.1 Introduction The proximity of cuprate superconductors to the Mott insulating phase gives rise to novel superconducting behavior enriched
More informationEffect of the magnetic resonance on the electronic spectra of high-t c superconductors
Effect of the magnetic resonance on the electronic spectra of high- c superconductors M. Eschrig 1, and M.. Norman 1 1 Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439 Institut
More informationarxiv: v2 [cond-mat.supr-con] 21 Aug 2008
Analysis of the spectral function of Nd 1.85 Ce.15 CuO 4, obtained by angle resolved photoemission spectroscopy arxiv:88.476v2 [cond-mat.supr-con] 21 Aug 8 F. Schmitt 1, W. S. Lee 1, D.-H. Lu 2, W. Meevasana
More informationPhotoelectron Interference Pattern (PEIP): A Two-particle Bragg-reflection Demonstration
Photoelectron Interference Pattern (PEIP): A Two-particle Bragg-reflection Demonstration Application No. : 2990 Beamlime: BL25SU Project Leader: Martin Månsson 0017349 Team Members: Dr. Oscar Tjernberg
More informationSimultaneous emergence of superconductivity, inter-pocket scattering and. nematic fluctuation in potassium-coated FeSe superconductor., and Y.
Simultaneous emergence of superconductivity, inter-pocket scattering and nematic fluctuation in potassium-coated FeSe superconductor Z. R. Ye 1,, C. F. Zhang 2, 3,, H. L. Ning 1, W. Li 2, 3, L. Chen 1,
More informationCDWs in ARPES. A momentum space picture of Fermi surface instabilities in crystalline solids. Physics 250, UC Davis Inna Vishik
CDWs in ARPES A momentum space picture of Fermi surface instabilities in crystalline solids Physics 250, UC Davis Inna Vishik Goals of this lecture Review CDW concepts from previous lecture Practice interpreting
More informationYBCO. CuO 2. the CuO 2. planes is controlled. from deviation from. neutron. , blue star for. Hg12011 (this work) for T c = 72
Supplementary Figure 1 Crystal structures and joint phase diagram of Hg1201 and YBCO. (a) Hg1201 features tetragonal symmetry and one CuO 2 plane per primitive cell. In the superconducting (SC) doping
More informationBSCCO Superconductors: Hole-Like Fermi Surface and Doping Dependence of the Gap Function
Journal of Low Temperature Physics, Vol. 117, Nos. 314, 1999 BSCCO Superconductors: Hole-Like Fermi Surface and Doping Dependence of the Gap Function J. Mesot,1,2 M. R. Norman,1 H. Ding,3 M. Randeria,4
More informationrequires going beyond BCS theory to include inelastic scattering In conventional superconductors we use Eliashberg theory to include the electron-
MECHANISM requires going beyond BCS theory to include inelastic scattering In conventional superconductors we use Eliashberg theory to include the electron- A serious limitation of BCS theory is that it
More informationTime-Resolved and Momentum-Resolved Resonant Soft X-ray Scattering on Strongly Correlated Systems
Time-Resolved and Momentum-Resolved Resonant Soft X-ray Scattering on Strongly Correlated Systems Wei-Sheng Lee Stanford Institute of Material and Energy Science (SIMES) SLAC & Stanford University Collaborators
More informationImaging electrostatically confined Dirac fermions in graphene
Imaging electrostatically confined Dirac fermions in graphene quantum dots 3 4 5 Juwon Lee, Dillon Wong, Jairo Velasco Jr., Joaquin F. Rodriguez-Nieva, Salman Kahn, Hsin- Zon Tsai, Takashi Taniguchi, Kenji
More informationVisualizing the atomic scale electronic structure of the Ca 2 CuO 2 Cl 2 Mott insulator
Visualizing the atomic scale electronic structure of the Ca 2 CuO 2 Cl 2 Mott insulator Cun Ye 1,*, Peng Cai 1,*, Runze Yu 2, Xiaodong Zhou 1, Wei Ruan 1, Qingqing Liu 2, Changqing Jin 2 & Yayu Wang 1,
More informationHigh-T c superconductors
High-T c superconductors Parent insulators Carrier doping Band structure and Fermi surface Pseudogap, superconducting gap, superfluid Nodal states Bilayer, trilayer Stripes High-T c superconductors Parent
More informationAn Angle-Resolved Photoemission Spectroscopy Study
An Angle-Resolved Photoemission Spectroscopy Study of Tl 2 Ba 2 Cu0 6 + ( 5 Analysis of recent results and the construction of a new system by Jeffrey Daniel Frederick Mottershead B.Sc, The University
More informationThe Chemical Control of Superconductivity in Bi 2 Sr 2 (Ca 1 x Y x )Cu 2 O 8+±
CHINESE JOURNAL OF PHYSICS VOL. 38, NO. 2-II APRIL 2000 The Chemical Control of Superconductivity in Bi 2 Sr 2 (Ca 1 x Y x )Cu 2 O 8+± R. S. Liu 1, I. J. Hsu 1, J. M. Chen 2, and R. G. Liu 2 1 Department
More informationPolaronic Effects in the Lightly Doped Cuprates. Kyle M. Shen Stanford University
Polaronic Effects in the Lightly Doped Cuprates Kyle M. Shen Stanford University April 6, 2005 ARPES Studies of the Cuprates Temperature (K) AFI Bi 2 Sr 2 CaCu 2 O 8+δ Bi 2 Sr 2 CuO 6+δ YBa 2 Cu 3 O 7-δ
More informationFermi surface nesting induced strong pairing in iron-based superconductors
Fermi surface nesting induced strong pairing in iron-based superconductors K. Terashima 1, Y. Sekiba 2, J. H. Bowen 3, K. Nakayama 2, T. Kawahara 2, T. Sato 2,4, P. Richard 5, Y.-M. Xu 6, L. J. Li 7, G.
More informationSUPPLEMENTARY INFORMATION
A Dirac point insulator with topologically non-trivial surface states D. Hsieh, D. Qian, L. Wray, Y. Xia, Y.S. Hor, R.J. Cava, and M.Z. Hasan Topics: 1. Confirming the bulk nature of electronic bands by
More informationTopological Surface States Protected From Backscattering by Chiral Spin Texture
1 Topological Surface States Protected From Backscattering by Chiral Spin Texture Pedram Roushan 1, Jungpil Seo 1, Colin V. Parker 1, Y. S. Hor 2, D. Hsieh 1, Dong Qian 1, Anthony Richardella 1, M. Z.
More informationObservation of Unconventional Quantum Spin Textures in Topologically Ordered Materials
www.sciencemag.org/cgi/content/full/323/5916/919/dc1 Supporting Online aterial for Observation of Unconventional Quantum Spin Textures in Topologically Ordered aterials D. Hsieh, Y. Xia, L. Wray, D. Qian,
More informationSUPPLEMENTARY INFORMATION
In the format provided by the authors and unedited. DOI: 10.1038/NPHYS4186 Stripes Developed at the Strong Limit of Nematicity in FeSe film Wei Li 1,2,3*, Yan Zhang 2,3,4,5, Peng Deng 1, Zhilin Xu 1, S.-K.
More informationarxiv: v1 [cond-mat.supr-con] 28 May 2018
Evidence for Multiple Underlying Fermi Surface and Isotropic Energy Gap in the Cuprate Parent Compound Ca 2 CuO 2 Cl 2 Cheng Hu 1,2, Jian-Fa Zhao 1,2, Ying Ding 1,2, Jing Liu 1,2, Qiang arxiv:1805.10991v1
More informationFermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order. Sand Hill Road, Menlo Park, California 94025, USA
Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order J.-F. He 1,2, C. R. Rotundu 1,2, M. S. Scheurer 3, Y. He 1,2, M. Hashimoto 4, K. Xu 2, Y. Wang 1,3, E.
More informationStripes developed at the strong limit of nematicity in FeSe film
Stripes developed at the strong limit of nematicity in FeSe film Wei Li ( ) Department of Physics, Tsinghua University IASTU Seminar, Sep. 19, 2017 Acknowledgements Tsinghua University Prof. Qi-Kun Xue,
More informationFermi Surface Reconstruction and the Origin of High Temperature Superconductivity
Fermi Surface Reconstruction and the Origin of High Temperature Superconductivity Mike Norman Materials Science Division Argonne National Laboratory & Center for Emergent Superconductivity Physics 3, 86
More informationepl draft M. L. Teague 1,A.D.Beyer 1,M.S.Grinolds 1,S.I.Lee 2 and N.-C. YEH 1 Korea
epl draft Observation of vortices and hidden pseudogap from scanning tunneling spectroscopic studies of electron-doped cuprate superconductor Sr 0.9 La 0.1 CuO 2 M. L. Teague 1,A.D.Beyer 1,M.S.Grinolds
More informationEngineering the spin couplings in atomically crafted spin chains on an elemental superconductor
Engineering the spin couplings in atomically crafted spin chains on an elemental superconductor Kamlapure et al, 1 Supplementary Figures Supplementary Figure 1 Spectroscopy on different chains. a, The
More informationarxiv:cond-mat/ v1 [cond-mat.supr-con] 14 May 1999
arxiv:cond-mat/9905219v1 [cond-mat.supr-con] 14 May 1999 The pseudogap in high temperature superconductors: an experimental survey Tom Timusk and Bryan Statt Department of Physics and Astronomy, McMaster
More informationQuantum dynamics in many body systems
Quantum dynamics in many body systems Eugene Demler Harvard University Collaborators: David Benjamin (Harvard), Israel Klich (U. Virginia), D. Abanin (Perimeter), K. Agarwal (Harvard), E. Dalla Torre (Harvard)
More informationMeasuring the gap in angle-resolved photoemission experiments on cuprates
Measuring the gap in angle-resolved photoemission experiments on cuprates A. A. Kordyuk, 1,2 S. V. Borisenko, 1 M. Knupfer, 1 and J. Fink 1 1 Institute for Solid State Research, IFW Dresden, P.O. Box 270016,
More informationVortex Checkerboard. Chapter Low-T c and Cuprate Vortex Phenomenology
63 Chapter 4 Vortex Checkerboard There is no need to invoke alternative order parameters to explain observed DOS modulations in optimally doped Bi 2 Sr 2 CaCu 2 O 8+δ. To continue the search for interesting
More informationSupplementary Materials for
advances.sciencemag.org/cgi/content/full/4/9/eaat8355/dc1 Supplementary Materials for Electronic structures and unusually robust bandgap in an ultrahigh-mobility layered oxide semiconductor, Bi 2 O 2 Se
More informationSUM RULES and ENERGY SCALES in BiSrCaCuO
SUM RULES and ENERGY SCALES in BiSrCaCuO A.F. Santander-Syro, R.P.S.M. Lobo, N. Bontemps Laboratoire de Physique du Solide (UPR5 CNRS) ESPCI 10 rue Vauquelin, 75231 Paris cedex 05, France nicole.bontemps@espci.fr
More informationHigh temperature superconductivity - insights from Angle Resolved Photoemission Spectroscopy
High temperature superconductivity - insights from Angle Resolved Photoemission Spectroscopy Adam Kaminski Ames Laboratory and Iowa State University Funding: Ames Laboratory - US Department of Energy Ames
More informationCuprates supraconducteurs : où en est-on?
Chaire de Physique de la Matière Condensée Cuprates supraconducteurs : où en est-on? Antoine Georges Cycle 2010-2011 Cours 5 30/11/2010 Cours 5-30/11/2010 Cours: Phénoménologie de la phase supraconductrice
More informationHigh-T c superconductors. Parent insulators Carrier doping Band structure and Fermi surface Pseudogap and superconducting gap Transport properties
High-T c superconductors Parent insulators Carrier doping Band structure and Fermi surface Pseudogap and superconducting gap Transport properties High-T c superconductors Parent insulators Phase diagram
More informationSUPPLEMENTARY INFORMATION
SUPPLEMENTARY INFORMATION DOI: 10.1038/NPHYS2271 Two Ising-like magnetic excitations in a single-layer cuprate superconductor Yuan Li, G. Yu, M.K. Chan, V. Balédent, Yangmu Li, N. Barišić, X. Zhao, K.
More informationCuprate high-t c superconductors
Cuprate high-t c superconductors In solid-state physics two different paradigms are typically applied. The first is a local picture, in which one visualizes the quantum states of electrons in atomic orbitals
More informationVisualizing the evolution from the Mott insulator to a charge. ordered insulator in lightly doped cuprates
Visualizing the evolution from the Mott insulator to a charge ordered insulator in lightly doped cuprates Peng Cai, 1 Wei Ruan, 1 Yingying Peng, 2 Cun Ye, 1 Xintong Li, 1 Zhenqi Hao, 1 Xingjiang Zhou,
More informationSupplementary Materials for
advances.sciencemag.org/cgi/content/full/4/5/eaar6419/dc1 Supplementary Materials for Two distinct superconducting pairing states divided by the nematic end point in FeSe1 xsx Tetsuo Hanaguri, Katsuya
More informationSupporting Information for. Persistent charge-density-wave order in single-layer TaSe 2
Supporting Information for Persistent charge-density-wave order in single-layer TaSe 2 Hyejin Ryu 1,2,,*, Yi Chen 3,, Heejung Kim 4, Hsin-Zon Tsai 3, Shujie Tang 1,5, Juan Jiang 1, Franklin Liou 3, Salman
More informationSUPPLEMENTARY INFORMATION
SUPPLEMENTARY INFORMATION DOI: 10.1038/NPHYS2089 Bilayer manganites reveal polarons in the midst of Supplementary information to the article Bilayer manganites reveal polarons in the a metallic breakdown
More informationPhotoemission Studies of Strongly Correlated Systems
Photoemission Studies of Strongly Correlated Systems Peter D. Johnson Physics Dept., Brookhaven National Laboratory JLab March 2005 MgB2 High T c Superconductor - Phase Diagram Fermi Liquid:-Excitations
More informationMassive Dirac Fermion on the Surface of a magnetically doped Topological Insulator
SLAC-PUB-14357 Massive Dirac Fermion on the Surface of a magnetically doped Topological Insulator Y. L. Chen 1,2,3, J.-H. Chu 1,2, J. G. Analytis 1,2, Z. K. Liu 1,2, K. Igarashi 4, H.-H. Kuo 1,2, X. L.
More informationSTM studies of impurity and defect states on the surface of the Topological-
STM studies of impurity and defect states on the surface of the Topological- Insulators Bi 2 Te 3 and Bi 2 Se 3 Aharon Kapitulnik STANFORD UNIVERSITY Zhanybek Alpichshev Yulin Chen Jim Analytis J.-H. Chu
More informationSingle crystal growth of Ti doped VTe 2 and the elucidation of the electronic structure by ARPES
Single crystal growth of Ti doped VTe 2 and the elucidation of the electronic structure by ARPES Manabu Kamitani 1, and Sonobe Tatsuya 2, 1 Department of Applied Physics, The University of Tokyo, Ishiwata
More informationTopological edge states in a high-temperature superconductor FeSe/SrTiO 3 (001) film
Topological edge states in a high-temperature superconductor FeSe/SrTiO 3 (001) film Z. F. Wang 1,2,3+, Huimin Zhang 2,4+, Defa Liu 5, Chong Liu 2, Chenjia Tang 2, Canli Song 2, Yong Zhong 2, Junping Peng
More informationLecture: Introduction to ARPES. Xingjiang Zhou
2013/01/21-23 Hongkong Lecture: Introduction to ARPES The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer,
More informationInversion Techniques for STM Data Analyses
Inversion Techniques for STM Data Analyses Sumiran Pujari University of Kentucky September 30, 2014 Outline of the Talk Philosophy of Inversion Projects : 1 Quasiparticle Echoes 2 Quasiparticle Lifetimes
More informationStudying Metal to Insulator Transitions in Solids using Synchrotron Radiation-based Spectroscopies.
PY482 Lecture. February 28 th, 2013 Studying Metal to Insulator Transitions in Solids using Synchrotron Radiation-based Spectroscopies. Kevin E. Smith Department of Physics Department of Chemistry Division
More informationSupplementary Figures
Supplementary Figures Supplementary Figure 1 Point-contact spectra of a Pt-Ir tip/lto film junction. The main panel shows differential conductance at 2, 12, 13, 16 K (0 T), and 10 K (2 T) to demonstrate
More informationarxiv:cond-mat/ v1 8 May 1997
Topological asymmetry in the damping-pairing contribution of electron-boson scattering arxiv:cond-mat/9705071v1 8 May 1997 G. Varelogiannis Institute of Electronic Structure and Laser Foundation for Research
More informationWeyl semimetal phase in the non-centrosymmetric compound TaAs
Weyl semimetal phase in the non-centrosymmetric compound TaAs L. X. Yang 1,2,3, Z. K. Liu 4,5, Y. Sun 6, H. Peng 2, H. F. Yang 2,7, T. Zhang 1,2, B. Zhou 2,3, Y. Zhang 3, Y. F. Guo 2, M. Rahn 2, P. Dharmalingam
More informationOne-band tight-binding model parametrization of the high-t c cuprates including the effect of k z dispersion
One-band tight-binding model parametrization of the high-t c cuprates including the effect of k z dispersion R. S. Markiewicz, 1 S. Sahrakorpi, 1 M. Lindroos, 1,2 Hsin Lin, 1 and A. Bansil 1 1 Physics
More informationTwenty years have passed since the discovery of the first copper-oxide high-temperature superconductor
1 Chapter 1 Introduction Twenty years have passed since the discovery of the first copper-oxide high-temperature superconductor La 2 x Ba x CuO 4 in 1986, and the intriguing physics of cuprate superconductors
More informationSupplementary Figure 1 Schematics of an optical pulse in a nonlinear medium. A Gaussian optical pulse propagates along z-axis in a nonlinear medium
Supplementary Figure 1 Schematics of an optical pulse in a nonlinear medium. A Gaussian optical pulse propagates along z-axis in a nonlinear medium with thickness L. Supplementary Figure Measurement of
More informationScanning Tunneling Microscopy/Spectroscopy
Scanning Tunneling Microscopy/Spectroscopy 0 Scanning Tunneling Microscope 1 Scanning Tunneling Microscope 2 Scanning Tunneling Microscope 3 Typical STM talk or paper... The differential conductance di/dv
More informationResidual Meissner effect and other pre-pairing phenomena in the cuprate superconductors. T. Domański
Wrocław, 2 Oct. 2014 Residual Meissner effect and other pre-pairing phenomena in the cuprate superconductors T. Domański M. Curie-Skłodowska University, Lublin, Poland http://kft.umcs.lublin.pl/doman/lectures
More informationIn-situ photoemission study of La 1 x Sr x FeO 3 epitaxial thin films
In-situ photoemission study of La 1 x Sr x FeO 3 epitaxial thin films Master Thesis Hiroki Wadati Department of Physics, University of Tokyo January, 2004 Contents 1 Introduction 1 2 Principles of photoemission
More information