Surprising Effects of Electronic Correlations in Solids
|
|
- Cleopatra Gardner
- 6 years ago
- Views:
Transcription
1 Center for Electronic Correlations and Magnetism University of Augsburg Surprising Effects of Electronic Correlations in Solids Dieter Vollhardt Supported by TRR 80 FOR 1346 University of Florida, Gainesville; February 17, 2011
2 Outline: Peculiarities of quantum many-particle systems Correlations Electronic correlations in solids Dynamical Mean-Field Theory: Models vs. materials Other Developments & Perspectives
3 Peculiarities of Interacting Many-Particle Systems
4 Interacting many-particle systems Elementary ( bare ) particles + fundamental interactions # particles N effective ( quasi ) particles + effective interactions
5 Non-interacting electrons Spin = 1 2 Fermion N Pauli exclusion principle of many fermions Fermi-Dirac statistics Ground state: Fermi body/surface
6 Fermi gas: Ground state k z Fermi surface k y k x Fermi body
7 Fermi gas: Excited state k z Particle Fermi surface (k F ) Hole k y k x Fermi body k-eigenstates: infinite life time Switch on repulsive interaction
8 Fermi liquid Standard model of condensed matter physics Fermi surface (k F ) k z (Quasi-) Hole (Quasi-) Particle Landau (1956/58) 1-1 correspondence between one-particle states (k,σ) = elementary excitation k y k x Fermi body Well-defined k-states ("quasiparticles") with - finite life time - effective mass - effective interaction
9 Simple metals "Heavy Fermions" Steglich et al. (1979) C/T (mj/mole K 2 ) T 2 (K 2 ) cv m * lim, v T 0 T m m* m Potassium F k m F * C/T (mj/mole K 2 ) m* 1000 m Result of of elementary excitations (quasiparticles) T 2 (K 2 ) CeCu 2 Si 2, UBe 13 : very heavy quasiparticles Stewart et al. (1983)
10 Interacting many-particle systems Elementary ( bare ) particles + fundamental interactions # particles N effective ( quasi ) particles + effective interactions
11 Interacting many-particle systems Elementary ( bare ) particles + fundamental interactions # particles N effective ( quasi ) particles + effective interactions Vacuum e Q r Q r Coulomb potential
12 Interacting many-particle systems Elementary ( bare ) particles + fundamental interactions # particles N effective ( quasi ) particles + effective interactions Electron gas: Screening Simplest approximation: Thomas-Fermi e Q r Q e r r/ Effective Yukawa potential
13 Interacting many-particle systems Elementary ( bare ) particles + fundamental interactions # particles N effective ( quasi ) particles + effective interactions Electron gas: Screening Better approximation: Lindhard e Q r Q cos(2 kr ) 3 F r Friedel oscillations
14 Interacting many-particle systems Elementary ( bare ) particles + fundamental interactions # particles N effective ( quasi ) particles + effective interactions Electrons in real solids Q r e Held (2004) Strong effective interaction of electrons in localized orbitals
15 Interacting many-particle systems # particles N Entirely new phenomena, e.g., phase transitions Unpredicted behavior emerges We We used to to think that that if if we we knew one, one, we we knew two, two, because one one and and one one are are two. two. We We are are finding out out that that we we must learn a great deal deal more about 'and'. Arthur Arthur Eddington Eddington ( ) ( ) More is different Anderson (1972)
16 Correlations
17 Correlation [lat.]: con + relatio ("with relation") Grammar: either... or Correlations in mathematics, natural sciences: AB A B e.g., densities: () r (') r () r (') r Correlations: Effects beyond factorization approximations (e.g., Hartree-Fock)
18 Temporal/spatial correlations in everyday life Beware: External periodic potential
19 Temporal/spatial correlations in everyday life Time/space average insufficient
20 Electronic Correlations in Solids
21 Partially filled d-orbitals Partially filled f-orbitals Narrow d,f-orbitals/bands strong electronic correlations
22 Correlated electron materials Fascinating topics for fundamental research large resistivity changes gigantic volume changes high-t c superconductivity strong thermoelectric response colossal magnetoresistance huge multiferroic effects large susceptibilities with Technological applications: sensors, switches magnetic storage thermoelectrics functional materials,...
23 Electronic Correlations: Models
24 Hubbard model Gutzwiller, 1963 Hubbard, 1963 Kanamori, 1963 time H t c c U n n ij,, i j i i i n n n n i i i i Purely numerical approaches (d=2,3): hopeless Theoretical challenge: Construct reliable, comprehensive non-perturbative approximation scheme Static (Hartree-Fock-type) mean-field theories generally insufficient
25 Dynamical Mean-Field Theory (DMFT) of Correlated Electrons
26 Theory of correlated electrons H t c c U n n ij,, i j i i i Hubbard model Face-centered cubic lattice (d=3) time Metzner, DV (1989) dz, Strong simplifications dynamical mean-field Selfconsistency problem Dynamical single-site mean-field theory Z=12 Müller-Hartmann (1989); Brandt, Mielsch (1989); Janiš (1991); Janiš, DV (1992)
27 Theory of correlated electrons H t c c U n n ij,, i j i i i Hubbard model Face-centered cubic lattice (d=3) time Metzner, DV (1989) dz, Strong simplifications dynamical mean-field Selfconsistency problem Self-consistent single-impurity Anderson model Z=12 Georges, Kotliar (1992); Jarrell (1992)
28 DMFT self-consistency equations for G and Σ i G( ) Σ(ω): mean field ( dynamical potential ) (i) Effective single impurity problem: local propagator,... single-site ("impurity") action A (ii) k-integrated Dyson equation ( lattice Green function : lattice enters) G 0 ( ( )) free electrons in a dynamic potential Σ(ω) Solve with an impurity solver, e.g., QMC, NRG, ED,...
29 Dynamical mean-field theory (DMFT) of correlated electrons U Proper time resolved treatment of local electronic interactions Spectral function U Spectral transfer Experimentally detectable?
30 Correlated Electron: Materials
31 Held (2004) How to combine? time Held (2004)
32 Computational scheme for correlated electron materials: Material specific electronic structure (Density functional theory: LDA, GGA,...) or GW + Local electronic correlations (Many-body theory: DMFT) LDA+DMFT Anisimov, Poteryaev, Korotin, Anokhin, Kotliar (1997) Lichtenstein, Katsnelson (1998) Nekrasov, Held, Blümer, Poteryaev, Anisimov, DV (2000)
33 Application of LDA+DMFT (Sr,Ca)VO 3 : 3d 1 system
34 Theory Electronic structure V O V 180 V O V 162 No correlation effects/spectral transfer
35 LDA+DMFT results k-integrated spectral function / CaVO 3 constrained LDA: U=5.55 ev, J=1.0 ev Osaka Augsburg Ekaterinburg collaboration: Sekiyama, Fujiwara, Imada, Suga, Eisaki, Uchida, Takegahara, Harima, Saitoh, Nekrasov, Keller, Kondakov, Kozhevnikov, Pruschke, Held, DV, Anisimov (2004) Measure by spectroscopy
36 Comparison with experiment Bulk sensitive photoemission spectroscopy occupied states Osaka Augsburg Ekaterinburg collaboration, (2004, 2005) X-ray absorption spectroscopy unoccupied states 3-peak structure detected
37 State-of-the-art LDA+DMFT: Electronic correlations & structural transformations Electron correlations can induce structural transformations (2011) Fe Pressure, GPa
38 State-of-the-art LDA+DMFT arxiv:
39 Perspective of the LDA+DMFT approach Explain and predict properties of complex correlated materials Phase diagram of light actinide series Temperature ( 0 C) Element Phase diagram connecting individual binary alloy diagrams Black: two-phase regions; Brown : details unknown Boring and Smith (2000)
40 Perspective of the LDA+DMFT approach Explain and predict properties of complex correlated materials Cu Phase diagram of La 1-x Sr x MnO 3 Hemberger et al. (2002) 1, 2, multi-electron transfer in metalloprotein complexes Photosynthesis
41 Developments & Perspectives
42 1. Quantum phase transitions Non-Fermi liquid Quantum critical ordered non-ordered Quantum critical point DFG Research Unit Augsburg-Dresden- Göttingen-Karlsruhe-Köln-München Driven by quantum fluctuations S. Sachdev, Quantum Phase Transitions, 2 nd ed. (Cambridge, 2011)
43 Field induced quantum phase transition magnetic transition Non-Fermi liquid antiferromagnetic Quantum critical non-magnetic Quantum critical point H DFG Research Unit Augsburg-Dresden- Göttingen-Karlsruhe-Köln-München Driven by quantum fluctuations Non-Fermi liquid behavior Emergence of novel degrees of freedom New phases of matter
44 Field induced quantum phase transition Driven by quantum fluctuations Custers, Gegenwart, Wilhelm, Neumaier, Tokiwa, Trovarelli, Geibel, Steglich, Pepin, Coleman (2003) Non-Fermi liquid behavior Emergence of novel degrees of freedom New phases of matter Si, Steglich (2010)
45 2. Correlated electrons in non-equilibrium Real-time evolution of correlation phenomena, e.g., time-resolved photoemission spectroscopy Photoelectron intensity in Mott insulating phase insulator metal Perfetti et al. (2006) Required: Theory of non-equilibrium beyond linear response in correlated bulk materials
46 2. Correlated electrons in non-equilibrium Non-equilibrium DMFT Quench in Hubbard model from U=0 to U>0 Freericks, Turkowski (2006) Eckstein, Kollar, Werner (2009) Momentum distribution (U=3.3) Thermalization Application, e.g. time resolved PES pump-probe experiments time after quench Eckstein, Kollar (2008) Freericks, Krishnamurthy, Pruschke (2008)
47 3. Correlated cold atoms in optical lattices Bosonic/fermionic atoms in optical lattices: Exp. realization of models High degree of tunability: quantum simulator Greiner et al. (2002) Observation of Fermi surface ( 40 K atoms) Köhl, Esslinger (2006)
48 3. Correlated cold atoms in optical lattices Hubbard model with ultracold atoms Jaksch, Bruder, Cirac, Gardiner, Zoller (1998) Atomic total angular momentum L tot = F N=2F+1 hyperfine states SU(N) Hubbard models Honerkamp, Hofstetter (2004) N=3, e.g. 6 Li, U<0: Color superconductivity, baryon formation (QCD) Rapp, Zarand, Honerkamp, Hofstetter (2006) Cooper pairs
49 Cu Non-Fermi liquid Quantum critical point Correlated many-particle systems: More fascinating than ever
Surprising Effects of the Interaction between Electrons in Solids. Dieter Vollhardt
Surprising Effects of the Interaction between Electrons in Solids Dieter Vollhardt Shanghai Jiao Tong University; April 6, 2016 Augsburg: founded in 15 BC Roman Emperor Augustus 63 BC 14 AD Center founded
More informationDynamical Mean-Field Theory for Correlated Electron Materials Dieter Vollhardt
Center for Electronic Correlations and Magnetism University of Augsburg Dynamical Mean-Field Theory for Correlated Electron Materials Dieter Vollhardt XXIII Latin American Symposium on Solid State Physics
More informationFrom Gutzwiller Wave Functions to Dynamical Mean-Field Theory
From utzwiller Wave Functions to Dynamical Mean-Field Theory Dieter Vollhardt Autumn School on Correlated Electrons DMFT at 25: Infinite Dimensions Forschungszentrum Jülich, September 15, 2014 Supported
More informationFrom Materials to Models and Back. Dieter Vollhardt
From Materials to Models and Back Dieter Vollhardt 28 th Edgar Lüscher Seminar, Klosters; February 8, 2017 From Materials to Models and Back - The Need for Models in Condensed Matter Physics - Outline:
More informationElectronic correlations in models and materials. Jan Kuneš
Electronic correlations in models and materials Jan Kuneš Outline Dynamical-mean field theory Implementation (impurity problem) Single-band Hubbard model MnO under pressure moment collapse metal-insulator
More informationRealistic Modeling of Materials with Strongly Correlated Electrons
Realistic Modeling of Materials with Strongly Correlated Electrons G. Keller 1, K. Held 2, V. Eyert 1, V. I. Anisimov 3, K. Byczuk 1, M. Kollar 1, I. Leonov 1, X. Ren 1, and D. Vollhardt 1 1 Theoretical
More informationMagnetic Moment Collapse drives Mott transition in MnO
Magnetic Moment Collapse drives Mott transition in MnO J. Kuneš Institute of Physics, Uni. Augsburg in collaboration with: V. I. Anisimov, A. V. Lukoyanov, W. E. Pickett, R. T. Scalettar, D. Vollhardt,
More informationDMFT for correlated bosons and boson-fermion mixtures
DMFT for correlated bosons and boson-fermion mixtures Workshop on Recent developments in dynamical mean-field theory ETH ürich, September 29, 2009 Dieter Vollhardt Supported by Deutsche Forschungsgemeinschaft
More informationThe Hubbard model in cold atoms and in the high-tc cuprates
The Hubbard model in cold atoms and in the high-tc cuprates Daniel E. Sheehy Aspen, June 2009 Sheehy@LSU.EDU What are the key outstanding problems from condensed matter physics which ultracold atoms and
More informationDynamical Mean Field Theory and Numerical Renormalization Group at Finite Temperature: Prospects and Challenges
Dynamical Mean Field Theory and Numerical Renormalization Group at Finite Temperature: Prospects and Challenges Frithjof B. Anders Institut für Theoretische Physik Universität Bremen Göttingen, December
More informationThe Hubbard model out of equilibrium - Insights from DMFT -
The Hubbard model out of equilibrium - Insights from DMFT - t U Philipp Werner University of Fribourg, Switzerland KITP, October 212 The Hubbard model out of equilibrium - Insights from DMFT - In collaboration
More informationReview of typical behaviours observed in strongly correlated systems. Charles Simon Laboratoire CRISMAT, CNRS and ENSICAEN, F14050 Caen.
Review of typical behaviours observed in strongly correlated systems Charles Simon Laboratoire CRISMAT, CNRS and ENSICAEN, F14050 Caen. Introduction : Major part of solid state physics of the second part
More informationStrongly Correlated Materials: Insights From Dynamical Mean-Field Theory
Strongly Correlated Materials: Insights From Dynamical Mean-Field Theory Materials with correlated electrons exhibit some of the most intriguing phenomena in condensed matter physics. A new theoretical
More informationDynamical mean field approach to correlated lattice systems in and out of equilibrium
Dynamical mean field approach to correlated lattice systems in and out of equilibrium Philipp Werner University of Fribourg, Switzerland Kyoto, December 2013 Overview Dynamical mean field approximation
More informationSpectral Density Functional Theory
Spectral Density Functional Theory Sergej Savrasov Financial support NSF US DOE LANL Collaborators and Content Constructing New Functionals to Access Energetics and Spectra of Correlated Solids Phonons
More informationRole of Hund Coupling in Two-Orbital Systems
Role of Hund Coupling in Two-Orbital Systems Gun Sang Jeon Ewha Womans University 2013-08-30 NCTS Workshop on Quantum Condensation (QC13) collaboration with A. J. Kim, M.Y. Choi (SNU) Mott-Hubbard Transition
More informationDe l atome au. supraconducteur à haute température critique. O. Parcollet Institut de Physique Théorique CEA-Saclay, France
De l atome au 1 supraconducteur à haute température critique O. Parcollet Institut de Physique Théorique CEA-Saclay, France Quantum liquids Quantum many-body systems, fermions (or bosons), with interactions,
More informationNano-DMFT : the electronic structure of small, strongly correlated, systems
Nano-DMFT : the electronic structure of small, strongly correlated, systems Nanoscale Dynamical Mean-Field Theory for Molecules and Mesoscopic Devices in the Strong-Correlation Regime Author: S. Florens,
More informationWhen Landau and Lifshitz meet
Yukawa International Seminar 2007 "Interaction and Nanostructural Effects in Low-Dimensional Systems" November 5-30, 2007, Kyoto When Landau and Lifshitz meet Unconventional Quantum Criticalities November
More informationMany-body effects in iron pnictides and chalcogenides
Many-body effects in iron pnictides and chalcogenides separability of non-local and dynamical correlation effects Jan M. Tomczak Vienna University of Technology jan.tomczak@tuwien.ac.at Emergent Quantum
More informationNiO - hole doping and bandstructure of charge transfer insulator
NiO - hole doping and bandstructure of charge transfer insulator Jan Kuneš Institute for Physics, Uni. Augsburg Collaboration: V. I. Anisimov S. L. Skornyakov A. V. Lukoyanov D. Vollhardt Outline NiO -
More informationIMPACT ionization and thermalization in photo-doped Mott insulators
IMPACT ionization and thermalization in photo-doped Mott insulators Philipp Werner (Fribourg) in collaboration with Martin Eckstein (Hamburg) Karsten Held (Vienna) Cargese, September 16 Motivation Photo-doping:
More informationMetal-insulator transitions
Metal-insulator transitions Bandwidth control versus fillig control Strongly correlated Fermi liquids Spectral weight transfer and mass renormalization Bandwidth control Filling control Chemical potential
More informationAn efficient impurity-solver for the dynamical mean field theory algorithm
Papers in Physics, vol. 9, art. 95 (217) www.papersinphysics.org Received: 31 March 217, Accepted: 6 June 217 Edited by: D. Domínguez Reviewed by: A. Feiguin, Northeastern University, Boston, United States.
More informationFluctuating exchange theory of dynamical electron correlations and magnetism
Fluctuating exchange theory of dynamical electron correlations and magnetism Václav Drchal Institute of Physics ASCR, Praha, Czech Republic Grant Agency of ASCR: project IAA11616 Workshop Frontiers in
More informationA FERMI SEA OF HEAVY ELECTRONS (A KONDO LATTICE) IS NEVER A FERMI LIQUID
A FERMI SEA OF HEAVY ELECTRONS (A KONDO LATTICE) IS NEVER A FERMI LIQUID ABSTRACT--- I demonstrate a contradiction which arises if we assume that the Fermi surface in a heavy electron metal represents
More informationPreface Introduction to the electron liquid
Table of Preface page xvii 1 Introduction to the electron liquid 1 1.1 A tale of many electrons 1 1.2 Where the electrons roam: physical realizations of the electron liquid 5 1.2.1 Three dimensions 5 1.2.2
More informationCluster Extensions to the Dynamical Mean-Field Theory
Thomas Pruschke Institut für Theoretische Physik Universität Göttingen Cluster Extensions to the Dynamical Mean-Field Theory 1. Why cluster methods? Thomas Pruschke Institut für Theoretische Physik Universität
More informationThe Gutzwiller Density Functional Theory
The Gutzwiller Density Functional Theory Jörg Bünemann, BTU Cottbus I) Introduction 1. Model for an H 2 -molecule 2. Transition metals and their compounds II) Gutzwiller variational theory 1. Gutzwiller
More informationStrongly Correlated Systems of Cold Atoms Detection of many-body quantum phases by measuring correlation functions
Strongly Correlated Systems of Cold Atoms Detection of many-body quantum phases by measuring correlation functions Anatoli Polkovnikov Boston University Ehud Altman Weizmann Vladimir Gritsev Harvard Mikhail
More informationDiagrammatic Monte Carlo methods for Fermions
Diagrammatic Monte Carlo methods for Fermions Philipp Werner Department of Physics, Columbia University PRL 97, 7645 (26) PRB 74, 15517 (26) PRB 75, 8518 (27) PRB 76, 235123 (27) PRL 99, 12645 (27) PRL
More informationAn introduction to the dynamical mean-field theory. L. V. Pourovskii
An introduction to the dynamical mean-field theory L. V. Pourovskii Nordita school on Photon-Matter interaction, Stockholm, 06.10.2016 OUTLINE The standard density-functional-theory (DFT) framework An
More informationCollege of Chemistry, Peking University, Beijing, China. Fritz-Haber-Institut der MPG, Berlin, Germany
KITP Program Excitations in Condensed Matter Localized and Itinerant States in a Unified Picture beyond Density Functional Theory Hong Jiang 1, Patrick Rinke 2 and Matthias Scheffler 2 1 College of Chemistry,
More informationSpin-orbital separation in the quasi-one-dimensional Mott insulator Sr 2 CuO 3 Splitting the electron
Spin-orbital separation in the quasi-one-dimensional Mott insulator Sr 2 CuO 3 Splitting the electron James Gloudemans, Suraj Hegde, Ian Gilbert, and Gregory Hart December 7, 2012 The paper We describe
More informationCooperative Phenomena
Cooperative Phenomena Frankfurt am Main Kaiserslautern Mainz B1, B2, B4, B6, B13N A7, A9, A12 A10, B5, B8 Materials Design - Synthesis & Modelling A3, A8, B1, B2, B4, B6, B9, B11, B13N A5, A7, A9, A12,
More informationPHYSICAL REVIEW B 78,
Origin of large thermopower in LiRh O 4 : Calculation of the Seebeck coefficient by the combination of local density approximation and dynamical mean-field theory R. Arita, 1, * K. Kuroki, K. Held, 3 A.
More informationElectronic structure of correlated electron systems. Lecture 2
Electronic structure of correlated electron systems Lecture 2 Band Structure approach vs atomic Band structure Delocalized Bloch states Fill up states with electrons starting from the lowest energy No
More informationNanoelectronics 14. [( ) k B T ] 1. Atsufumi Hirohata Department of Electronics. Quick Review over the Last Lecture.
Nanoelectronics 14 Atsufumi Hirohata Department of Electronics 09:00 Tuesday, 27/February/2018 (P/T 005) Quick Review over the Last Lecture Function Fermi-Dirac distribution f ( E) = 1 exp E µ [( ) k B
More informationLocal moment approach to multi-orbital Anderson and Hubbard models
Local moment approach to multi-orbital Anderson and Hubbard models Anna Kauch 1 and Krzysztof Byczuk,1 1 Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, PL--681 Warszawa, Poland Theoretical
More informationWORLD SCIENTIFIC (2014)
WORLD SCIENTIFIC (2014) LIST OF PROBLEMS Chapter 1: Magnetism of Free Electrons and Atoms 1. Orbital and spin moments of an electron: Using the theory of angular momentum, calculate the orbital
More informationStrongly correlated systems: from electronic materials to cold atoms
Strongly correlated systems: from electronic materials to cold atoms Eugene Demler Harvard University Collaborators: E. Altman, R. Barnett, I. Cirac, L. Duan, V. Gritsev, W. Hofstetter, A. Imambekov, M.
More informationarxiv:cond-mat/ v1 [cond-mat.str-el] 11 Aug 2003
Phase diagram of the frustrated Hubbard model R. Zitzler, N. ong, h. Pruschke, and R. Bulla Center for electronic correlations and magnetism, heoretical Physics III, Institute of Physics, University of
More informationHeavy Fermion systems
Heavy Fermion systems Satellite structures in core-level and valence-band spectra Kondo peak Kondo insulator Band structure and Fermi surface d-electron heavy Fermion and Kondo insulators Heavy Fermion
More informationThe Mott Metal-Insulator Transition
Florian Gebhard The Mott Metal-Insulator Transition Models and Methods With 38 Figures Springer 1. Metal Insulator Transitions 1 1.1 Classification of Metals and Insulators 2 1.1.1 Definition of Metal
More information1 From Gutzwiller Wave Functions to Dynamical Mean-Field Theory
1 From Gutzwiller Wave Functions to Dynamical Mean-Field Theory Dieter Vollhardt Center for Electronic Correlations and Magnetism University of Augsburg Contents 1 Introduction 2 1.1 Modeling of correlated
More informationThe phases of matter familiar for us from everyday life are: solid, liquid, gas and plasma (e.f. flames of fire). There are, however, many other
1 The phases of matter familiar for us from everyday life are: solid, liquid, gas and plasma (e.f. flames of fire). There are, however, many other phases of matter that have been experimentally observed,
More informationAngle-Resolved Two-Photon Photoemission of Mott Insulator
Angle-Resolved Two-Photon Photoemission of Mott Insulator Takami Tohyama Institute for Materials Research (IMR) Tohoku University, Sendai Collaborators IMR: H. Onodera, K. Tsutsui, S. Maekawa H. Onodera
More informationLocal moment approach to the multi - orbital single impurity Anderson and Hubbard models
Local moment approach to the multi - orbital single impurity Anderson and Hubbard models Anna Kauch Institute of Theoretical Physics Warsaw University PIPT/Les Houches Summer School on Quantum Magnetism
More informationSurprises in Correlated Electron Physics
Vol. 111 (2007) ACTA PHYSICA POLONICA A No. 4 Proceedings of the XII National School Correlated Electron Systems..., Ustroń 2006 Surprises in Correlated Electron Physics K. Byczuk a,b, W. Hofstetter c,
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 informationMany body physics issues with the core-hole propagator and resonant inelastic X-ray scattering
Many body physics issues with the core-hole propagator and resonant inelastic X-ray scattering Jim Freericks (Georgetown University) Funding: Civilian Research and Development Foundation In collaboration
More informationImpurities and disorder in systems of ultracold atoms
Impurities and disorder in systems of ultracold atoms Eugene Demler Harvard University Collaborators: D. Abanin (Perimeter), K. Agarwal (Harvard), E. Altman (Weizmann), I. Bloch (MPQ/LMU), S. Gopalakrishnan
More informationIdeas on non-fermi liquid metals and quantum criticality. T. Senthil (MIT).
Ideas on non-fermi liquid metals and quantum criticality T. Senthil (MIT). Plan Lecture 1: General discussion of heavy fermi liquids and their magnetism Review of some experiments Concrete `Kondo breakdown
More informationStrongly Correlated Physics With Ultra-Cold Atoms
Strongly Correlated Physics With Ultra-Cold Atoms Predrag Nikolić Rice University Acknowledgments Collaborators Subir Sachdev Eun-Gook Moon Anton Burkov Arun Paramekanti Sponsors W.M.Keck Program in Quantum
More information1 G. Kotliar: Lecture 2
1 G. Kotliar: Lecture 2 In the previous lecture, following some motivation to study strongly correlated electron systems, we introduced a general methodology for constructing mean field theories. To apply
More informationTheory of magnetic interactions in real materials. Mikhail Katsnelson
Theory of magnetic interactions in real materials Mikhail Katsnelson Outline 1. Introduction 2. Exchange interactions from first principles 3. Beyond DFT: correlated systems and LDA+DMFT 4. Applications:
More informationAbsence of orbital-dependent Mott transition in Ca 2 x Sr x RuO 4
EUROPHYSICS LETTERS 1 July 23 Europhys. Lett., 63 (1), pp. 97 13 (23) Absence of orbital-dependent Mott transition in Ca 2 x Sr x RuO 4 A. Liebsch Institut für Festkörperforschung, Forschungszentrum Jülich
More informationLecture 2: Ultracold fermions
Lecture 2: Ultracold fermions Fermions in optical lattices. Fermi Hubbard model. Current state of experiments Lattice modulation experiments Doublon lifetimes Stoner instability Ultracold fermions in optical
More informationStability of semi-metals : (partial) classification of semi-metals
: (partial) classification of semi-metals Eun-Gook Moon Department of Physics, UCSB EQPCM 2013 at ISSP, Jun 20, 2013 Collaborators Cenke Xu, UCSB Yong Baek, Kim Univ. of Toronto Leon Balents, KITP B.J.
More informationGreen's Function in. Condensed Matter Physics. Wang Huaiyu. Alpha Science International Ltd. SCIENCE PRESS 2 Beijing \S7 Oxford, U.K.
Green's Function in Condensed Matter Physics Wang Huaiyu SCIENCE PRESS 2 Beijing \S7 Oxford, U.K. Alpha Science International Ltd. CONTENTS Part I Green's Functions in Mathematical Physics Chapter 1 Time-Independent
More informationSummary lecture IX. The electron-light Hamilton operator reads in second quantization
Summary lecture IX The electron-light Hamilton operator reads in second quantization Absorption coefficient α(ω) is given by the optical susceptibility Χ(ω) that is determined by microscopic polarization
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 informationMetal-Insulator Transitions and Realistic Modelling of Correlated Electron Systems
John von Neumann Institute for Computing Metal-Insulator Transitions and Realistic Modelling of Correlated Electron Systems N. Blümer, K. Held, G. Keller, D. Vollhardt published in NIC Symposium 2001,
More informationElectronic structure calculations results from LDA+U method
Electronic structure calculations results from LDA+U method Vladimir I. Anisimov Institute of Metal Physics Ekaterinburg, Russia LDA+U method applications Mott insulators Polarons and stripes in cuprates
More informationQuantum noise studies of ultracold atoms
Quantum noise studies of ultracold atoms Eugene Demler Harvard University Collaborators: Ehud Altman, Robert Cherng, Adilet Imambekov, Vladimir Gritsev, Mikhail Lukin, Anatoli Polkovnikov Funded by NSF,
More informationCorrelatd electrons: the case of high T c cuprates
Correlatd electrons: the case of high T c cuprates Introduction: Hubbard U - Mott transition, The cuprates: Band structure and phase diagram NMR as a local magnetic probe Magnetic susceptibilities NMR
More informationNew perspectives in superconductors. E. Bascones Instituto de Ciencia de Materiales de Madrid (ICMM-CSIC)
New perspectives in superconductors E. Bascones Instituto de Ciencia de Materiales de Madrid (ICMM-CSIC) E. Bascones leni@icmm.csic.es Outline Talk I: Correlations in iron superconductors Introduction
More informationLearning about order from noise
Learning about order from noise Quantum noise studies of ultracold atoms Eugene Demler Harvard University Collaborators: Ehud Altman, Robert Cherng, Adilet Imambekov, Vladimir Gritsev, Mikhail Lukin, Anatoli
More informationNonequilibrium Physics of Correlated Electron Materials IV: Nonequilibrium Phase Transitions
Nonequilibrium Physics of Correlated Electron Materials IV: Nonequilibrium Phase Transitions! A. J. Millis College de France Oct 12, 2015 Two classes of nonequilibrium manybody phenomena 1. Steady state
More informationMott insulators. Introduction Cluster-model description Chemical trend Band description Self-energy correction
Mott insulators Introduction Cluster-model description Chemical trend Band description Self-energy correction Introduction Mott insulators Lattice models for transition-metal compounds Hubbard model Anderson-lattice
More informationLuigi Paolasini
Luigi Paolasini paolasini@esrf.fr LECTURE 4: MAGNETIC INTERACTIONS - Dipole vs exchange magnetic interactions. - Direct and indirect exchange interactions. - Anisotropic exchange interactions. - Interplay
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 informationQuantum impurities in a bosonic bath
Ralf Bulla Institut für Theoretische Physik Universität zu Köln 27.11.2008 contents introduction quantum impurity systems numerical renormalization group bosonic NRG spin-boson model bosonic single-impurity
More informationLattice modulation experiments with fermions in optical lattices and more
Lattice modulation experiments with fermions in optical lattices and more Nonequilibrium dynamics of Hubbard model Ehud Altman Weizmann Institute David Pekker Harvard University Rajdeep Sensarma Harvard
More information1 GW+DMFT. KH Computational Physics QMC. Dynamical Mean Field Theory + Band Structure Method. Γ[G] = Trlog G Tr(ΣG) + Φ[G] (1)
Dynamical Mean Field Theory + Band Structure Method 1 GW+DMFT We will express the various types of approximations in language of Luttinger-Ward functionals. The exact Luttinger Ward functional takes the
More informationSurprises in correlated electron physics
Surprises in correlated electron physics K. Byczuk 1,, W. Hofstetter 3, M. Kollar 1, and D. Vollhardt 1 (1) Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute for Physics,
More informationDual fermion approach to unconventional superconductivity and spin/charge density wave
June 24, 2014 (ISSP workshop) Dual fermion approach to unconventional superconductivity and spin/charge density wave Junya Otsuki (Tohoku U, Sendai) in collaboration with H. Hafermann (CEA Gif-sur-Yvette,
More informationAn introduction to Dynamical Mean Field Theory (DMFT) and DFT+DMFT
An introduction to Dynamical Mean Field Theory (DMFT) and DFT+DMFT B. Amadon CEA, DAM, DIF, F-9297 Arpajon, France International summer School in electronic structure Theory: electron correlation in Physics
More informationStrongly correlated Cooper pair insulators and superfluids
Strongly correlated Cooper pair insulators and superfluids Predrag Nikolić George Mason University Acknowledgments Collaborators Subir Sachdev Eun-Gook Moon Anton Burkov Arun Paramekanti Affiliations and
More informationPG5295 Muitos Corpos 1 Electronic Transport in Quantum dots 2 Kondo effect: Intro/theory. 3 Kondo effect in nanostructures
PG5295 Muitos Corpos 1 Electronic Transport in Quantum dots 2 Kondo effect: Intro/theory. 3 Kondo effect in nanostructures Prof. Luis Gregório Dias DFMT PG5295 Muitos Corpos 1 Electronic Transport in Quantum
More informationTuning order in cuprate superconductors
Tuning order in cuprate superconductors arxiv:cond-mat/0201401 v1 23 Jan 2002 Subir Sachdev 1 and Shou-Cheng Zhang 2 1 Department of Physics, Yale University, P.O. Box 208120, New Haven, CT 06520-8120,
More informationMott insulators. Mott-Hubbard type vs charge-transfer type
Mott insulators Mott-Hubbard type vs charge-transfer type Cluster-model description Chemical trend Band theory Self-energy correction Electron-phonon interaction Mott insulators Mott-Hubbard type vs charge-transfer
More informationMany electrons: Density functional theory Part II. Bedřich Velický VI.
Many electrons: Density functional theory Part II. Bedřich Velický velicky@karlov.mff.cuni.cz VI. NEVF 514 Surface Physics Winter Term 013-014 Troja 1 st November 013 This class is the second devoted to
More informationWannier Functions in the context of the Dynamical Mean-Field Approach to strongly correlated materials
Wannier Functions in the context of the Dynamical Mean-Field Approach to strongly correlated materials Frank Lechermann I. Institute for Theoretical Physics, University of Hamburg, Germany Ab-initio Many-Body
More information"From a theoretical tool to the lab"
N "From a theoretical tool to the lab" Aline Ramires Institute for Theoretical Studies - ETH - Zürich Cold Quantum Coffee ITP - Heidelberg University - 13th June 2017 ETH - Hauptgebäude The Institute for
More informationPairing Symmetry of Superfluid in Three-Component Repulsive Fermionic Atoms in Optical Lattices. Sei-ichiro Suga. University of Hyogo
Pairing Symmetry of Superfluid in Three-Component Repulsive Fermionic Atoms in Optical Lattices Sei-ichiro Suga University of Hyogo Collaborator: Kensuke Inaba NTT Basic Research Labs Introduction Cold
More informationQuantum criticality of Fermi surfaces
Quantum criticality of Fermi surfaces Subir Sachdev Physics 268br, Spring 2018 HARVARD Quantum criticality of Ising-nematic ordering in a metal y Occupied states x Empty states A metal with a Fermi surface
More informationEvidence for exhaustion in the conductivity of the infinite-dimensional periodic Anderson model
PHYSICAL REVIEW B VOLUME 60, NUMBER 15 15 OCTOBER 1999-I Evidence for exhaustion in the conductivity of the infinite-dimensional periodic Anderson model A. N. Tahvildar-Zadeh and M. Jarrell Department
More informationElectron Correlation
Series in Modern Condensed Matter Physics Vol. 5 Lecture Notes an Electron Correlation and Magnetism Patrik Fazekas Research Institute for Solid State Physics & Optics, Budapest lb World Scientific h Singapore
More informationOrbital order and Hund's rule frustration in Kondo lattices
Orbital order and Hund's rule frustration in Kondo lattices Ilya Vekhter Louisiana State University, USA 4/29/2015 TAMU work done with Leonid Isaev, LSU Kazushi Aoyama, Kyoto Indranil Paul, CNRS Phys.
More informationExplana'on of the Higgs par'cle
Explana'on of the Higgs par'cle Condensed ma7er physics: The Anderson- Higgs excita'on Press release of Nature magazine Unity of Physics laws fev pev nev µev mev ev kev MeV GeV TeV pk nk µk mk K Cold atoms
More informationORBITAL SELECTIVITY AND HUND S PHYSICS IN IRON-BASED SC. Laura Fanfarillo
ORBITAL SELECTIVITY AND HUND S PHYSICS IN IRON-BASED SC Laura Fanfarillo FROM FERMI LIQUID TO NON-FERMI LIQUID Strong Correlation Bad Metal High Temperature Fermi Liquid Low Temperature Tuning parameter
More informationQuantum Criticality in Heavy Fermion Metals. Qimiao Si. Rice University
Quantum Criticality in Heavy Fermion Metals Qimiao Si Rice University CM Seminar, Texas A&M U, College Station, Oct. 2, 2009 Pallab Goswami, Jed Pixley Seiji Yamamoto Stefan Kirchner Jian-Xin Zhu, Lijun
More informationQuantum Physics II (8.05) Fall 2002 Outline
Quantum Physics II (8.05) Fall 2002 Outline 1. General structure of quantum mechanics. 8.04 was based primarily on wave mechanics. We review that foundation with the intent to build a more formal basis
More informationDynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions Antoine Georges Laboratoire de Physique Théorique de l Ecole Normale Supérieure, 24, rue Lhomond,
More informationOrbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to (ET)2Cu2(CN)3
Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to (ET)2Cu2(CN)3 Olexei Motrunich (KITP) PRB 72, 045105 (2005); PRB 73, 155115 (2006) with many thanks to T.Senthil
More informationEmergent Frontiers in Quantum Materials:
Emergent Frontiers in Quantum Materials: High Temperature superconductivity and Topological Phases Jiun-Haw Chu University of Washington The nature of the problem in Condensed Matter Physics Consider a
More informationMetal-Mott insulator transitions
University of Ljubljana Faculty of Mathematics and Physics Seminar I b Metal-Mott insulator transitions Author: Alen Horvat Advisor: doc. dr. Tomaž Rejec Co-advisor: dr. Jernej Mravlje Ljubljana, September
More informationw2dynamics : operation and applications
w2dynamics : operation and applications Giorgio Sangiovanni ERC Kick-off Meeting, 2.9.2013 Hackers Nico Parragh (Uni Wü) Markus Wallerberger (TU) Patrik Gunacker (TU) Andreas Hausoel (Uni Wü) A solver
More informationQuantum phase transitions and the Luttinger theorem.
Quantum phase transitions and the Luttinger theorem. Leon Balents (UCSB) Matthew Fisher (UCSB) Stephen Powell (Yale) Subir Sachdev (Yale) T. Senthil (MIT) Ashvin Vishwanath (Berkeley) Matthias Vojta (Karlsruhe)
More information