Quantum phase transitions of insulators, superconductors and metals in two dimensions
|
|
- Hilary Andrews
- 5 years ago
- Views:
Transcription
1 Quantum phase transitions of insulators, superconductors and metals in two dimensions Talk online: sachdev.physics.harvard.edu HARVARD
2 Outline 1. Phenomenology of the cuprate superconductors (and other compounds) 2. QPT of antiferromagnetic insulators (and bosons at rational filling) 3. QPT of d-wave superconductors: Fermi points of massless Dirac fermions 4. QPT of Fermi surfaces: A. Finite wavevector ordering (SDW/CDW): Hot spots on Fermi surfaces B. Zero wavevector ordering (Nematic): Hot Fermi surfaces
3 Outline 1. Phenomenology of the cuprate superconductors (and other compounds) 2. QPT of antiferromagnetic insulators (and bosons at rational filling) 3. QPT of d-wave superconductors: Fermi points of massless Dirac fermions 4. QPT of Fermi surfaces: A. Finite wavevector ordering (SDW/CDW): Hot spots on Fermi surfaces B. Zero wavevector ordering (Nematic): Hot Fermi surfaces
4 Theory of quantum criticality in the cuprates Fluctuating, Small Fermi paired pockets Fermi with pairing pockets fluctuations Strange Metal Large Fermi surface E. Demler, S. Sachdev and Y. Zhang, Phys. Rev. Lett. 87, (2001). Thermally fluctuating SDW Magnetic quantum criticality Spin gap d-wave superconductor E. G. Moon and S. Sachdev, Phy. Rev. B 80, (2009) Spin density wave (SDW) Competition between SDW order and superconductivity moves the actual quantum critical point to x = x s <x m.
5 Theory of quantum criticality in the cuprates Fluctuating, Small Fermi paired pockets Fermi with pairing pockets fluctuations Thermally fluctuating SDW Magnetic quantum criticality Spin gap Strange Metal d-wave Classical spin waves superconductor Neel order Large Fermi surface Quantum critical E. Demler, S. Sachdev and Y. Zhang, Phys. Rev. Lett. 87, Dilute (2001). triplon gas E. G. Moon and S. Sachdev, Phy. Rev. B 80, (2009) Criticality of the coupled dimer antiferromagnet at x=xs Spin density wave (SDW) Competition between SDW order and superconductivity moves the actual quantum critical point to x = x s <x m.
6 Theory of quantum criticality in the cuprates ncreasing SDW Fluctuating, Small Fermi paired pockets Fermi with pairing pockets fluctuations Thermally fluctuating SDW Magnetic quantum criticality Criticality of the topological change in Fermi surface at x=xm Spin gap Spin density wave (SDW) Strange Metal d-wave superconductor Large Fermi surface Competition between SDW order and superconductivity moves the actual quantum critical point to x = x s <x m. E. Demler, S. Sachdev and Y. Zhang, Phys. Rev. Lett. 87, (2001). E. G. Moon and S. Sachdev, Phy. Rev. B 80, (2009)
7 TlCuCl 3
8 TlCuCl 3 An insulator whose spin susceptibility vanishes exponentially as the temperature T tends to zero.
9 TlCuCl 3 at ambient pressure N. Cavadini, G. Heigold, W. Henggeler, A. Furrer, H.-U. Güdel, K. Krämer and H. Mutka, Phys. Rev. B (2001).
10 TlCuCl 3 at ambient pressure Sharp spin 1 particle excitation above an energy gap (spin gap) N. Cavadini, G. Heigold, W. Henggeler, A. Furrer, H.-U. Güdel, K. Krämer and H. Mutka, Phys. Rev. B (2001).
11 Square lattice antiferromagnet H = ij J ij Si S j Ground state has long-range Néel order Order parameter is a single vector field ϕ = η isi η i = ±1 on two sublattices ϕ = 0 in Néel state.
12 Square lattice antiferromagnet H = ij J ij Si S j J J/λ Weaken some bonds to induce spin entanglement in a new quantum phase
13 Square lattice antiferromagnet H = ij J ij Si S j J J/λ Ground state is a quantum paramagnet with spins locked in valence bond singlets = 1 2
14 λ c λ Quantum critical point with non-local entanglement in spin wavefunction M. Matsumoto, C. Yasuda, S. Todo, and H. Takayama, Phys. Rev.B 65, (2002).
15 λ c λ Pressure in TlCuCl3
16 Excitation spectrum in the paramagnetic phase λ c λ
17 Excitation spectrum in the paramagnetic phase λ c λ
18 Excitation spectrum in the paramagnetic phase λ c λ
19 Excitation spectrum in the paramagnetic phase λ c λ
20 Excitation spectrum in the paramagnetic phase λ c λ Sharp spin 1 particle excitation above an energy gap (spin gap)
21 TlCuCl 3 at ambient pressure Sharp spin 1 particle excitation above an energy gap (spin gap) N. Cavadini, G. Heigold, W. Henggeler, A. Furrer, H.-U. Güdel, K. Krämer and H. Mutka, Phys. Rev. B (2001).
22 Excitation spectrum in the Néel phase λ c λ
23 Excitation spectrum in the Néel phase λ c λ Spin waves
24 Excitation spectrum in the Néel phase λ c λ Spin waves
25 Derivation of field theory of critical point
26 Description using Landau-Ginzburg field theory λ c CFT3 λ O(3) order parameter ϕ ( S = d 2 rdτ τ ϕ) 2 + c 2 ( r ϕ ) 2 +(λ λ c )ϕ 2 + u ϕ 2 2
27 Excitation spectrum in the paramagnetic phase λ λ c V (ϕ )=(λ λ c )ϕ 2 + u ϕ V (ϕ ) 1.5 Spin S =1 λ >λ c ϕ triplon
28 Excitation spectrum in the paramagnetic phase λ λ c V (ϕ )=(λ λ c )ϕ 2 + u ϕ V (ϕ ) 1.5 Spin S =1 λ >λ c ϕ triplon
29 Excitation spectrum in the paramagnetic phase λ λ c V (ϕ )=(λ λ c )ϕ 2 + u ϕ V (ϕ ) 1.5 Spin S =1 λ >λ c ϕ triplon
30 Excitation spectrum in the paramagnetic phase λ λ c V (ϕ )=(λ λ c )ϕ 2 + u ϕ V (ϕ ) 1.5 Spin S =1 λ >λ c ϕ triplon
31 Excitation spectrum in the paramagnetic phase λ λ c V (ϕ )=(λ λ c )ϕ 2 + u ϕ V (ϕ ) 1.5 Spin S =1 λ >λ c ϕ triplon
32 TlCuCl 3 at ambient pressure Sharp spin 1 particle excitation above an energy gap (spin gap) N. Cavadini, G. Heigold, W. Henggeler, A. Furrer, H.-U. Güdel, K. Krämer and H. Mutka, Phys. Rev. B (2001).
33 Excitation spectrum in the Néel phase V (ϕ ) λ c V (ϕ )=(λ λ c )ϕ 2 + u ϕ 2 2 λ <λ c λ 0.3 ϕ Spin waves ( Goldstone modes) and a longitudinal Higgs particle
34 Excitation spectrum in the Néel phase V (ϕ ) λ c V (ϕ )=(λ λ c )ϕ 2 + u ϕ 2 2 λ <λ c λ 0.3 ϕ Spin waves ( Goldstone modes) and a longitudinal Higgs particle
35 Excitation spectrum in the Néel phase V (ϕ ) λ c V (ϕ )=(λ λ c )ϕ 2 + u ϕ 2 2 λ <λ c λ 0.3 ϕ Spin waves ( Goldstone modes) and a longitudinal Higgs particle
36 TlCuCl 3 with varying pressure Observation of 3 2 low energy modes, emergence of new longitudinal mode (the Higgs boson ) in Néel phase, and vanishing of Néel temperature at quantum critical point Christian Ruegg, Bruce Normand, Masashige Matsumoto, Albert Furrer, Desmond McMorrow, Karl Kramer, Hans Ulrich Gudel, Severian Gvasaliya, Hannu Mutka, and Martin Boehm, Phys. Rev. Lett. 100, (2008)
37 Prediction of quantum field theory Potential for ϕ fluctuations: V (ϕ )=(λ λ c )ϕ 2 + u ϕ 2 2 Paramagnetic phase, λ >λ c Expand about ϕ = 0: 2.0 V (ϕ ) 1.5 V (ϕ ) (λ λ c )ϕ 2 ϕ Yields 3 particles with energy gap (λ λ c )
38 Prediction of quantum field theory Potential for ϕ fluctuations: V (ϕ )=(λ λ c )ϕ 2 + u ϕ 2 2 Paramagnetic phase, λ >λ c Expand about ϕ = 0: 2.0 V (ϕ ) 1.5 V (ϕ ) (λ λ c )ϕ 2 ϕ Yields 3 particles with energy gap (λ λ c ) Néel phase, λ < λ c Expand ϕ = 0, 0, (λ c λ)/(2u) + ϕ 1 : V (ϕ ) ϕ V (ϕ ) 2(λ c λ)ϕ 2 1z Yields 2 gapless spin waves and one Higgs particle with energy gap 2(λ c λ)
39 Prediction of quantum field theory Energy of Higgs particle Energy of triplon 1.4 = 2 V (ϕ )=(λ λ c )ϕ 2 + u ϕ 2 2 Energy 2*E(p < p c ), E(p > p c ) [mev] TlCuCl 3 p c = 7 kbar T = 1.85 K Q=(0 4 0) L (p < p c ) L (p > p c ) Q=(0 0 1) L,T 1 (p < p c ) L (p > p c ) E(p < p c ) unscaled Pressure (p p c ) [kbar] S. Sachdev, arxiv:
40 O(3) order parameter ϕ λ c CFT3 ( τ ϕ) 2 + c 2 ( r ϕ ) 2 + sϕ 2 + u ϕ 2 2 λ S = d 2 rdτ
41 Quantum Monte Carlo - critical exponents S. Wenzel and W. Janke, Phys. Rev. B 79, (2009) M. Troyer, M. Imada, and K. Ueda, J. Phys. Soc. Japan (1997)
42 Quantum Monte Carlo - critical exponents Field-theoretic RG of CFT3 E. Vicari et al. S. Wenzel and W. Janke, Phys. Rev. B 79, (2009) M. Troyer, M. Imada, and K. Ueda, J. Phys. Soc. Japan (1997)
Quantum phases of antiferromagnets and the underdoped cuprates. Talk online: sachdev.physics.harvard.edu
Quantum phases of antiferromagnets and the underdoped cuprates Talk online: sachdev.physics.harvard.edu Outline 1. Coupled dimer antiferromagnets Landau-Ginzburg quantum criticality 2. Spin liquids and
More informationQuantum mechanics without particles
Quantum mechanics without particles Institute Lecture, Indian Institute of Technology, Kanpur January 21, 2014 sachdev.physics.harvard.edu HARVARD Outline 1. Key ideas from quantum mechanics 2. Many-particle
More informationQuantum entanglement and the phases of matter
Quantum entanglement and the phases of matter University of Cincinnati March 30, 2012 sachdev.physics.harvard.edu HARVARD Sommerfeld-Bloch theory of metals, insulators, and superconductors: many-electron
More informationTalk online: sachdev.physics.harvard.edu
Talk online: sachdev.physics.harvard.edu Particle theorists Condensed matter theorists Quantum Entanglement Hydrogen atom: Hydrogen molecule: = _ = 1 2 ( ) Superposition of two electron states leads to
More informationQuantum entanglement and the phases of matter
Quantum entanglement and the phases of matter IISc, Bangalore January 23, 2012 sachdev.physics.harvard.edu HARVARD Outline 1. Conformal quantum matter Entanglement, emergent dimensions and string theory
More informationThe phase diagrams of the high temperature superconductors
The phase diagrams of the high temperature superconductors Talk online: sachdev.physics.harvard.edu HARVARD Max Metlitski, Harvard Eun Gook Moon, Harvard HARVARD The cuprate superconductors Square lattice
More informationQuantum entanglement and the phases of matter
Quantum entanglement and the phases of matter Stony Brook University February 14, 2012 sachdev.physics.harvard.edu HARVARD Quantum superposition and entanglement Quantum Superposition The double slit experiment
More informationQuantum entanglement and the phases of matter
Quantum entanglement and the phases of matter University of Toronto March 22, 2012 sachdev.physics.harvard.edu HARVARD Sommerfeld-Bloch theory of metals, insulators, and superconductors: many-electron
More informationQuantum entanglement and the phases of matter
Quantum entanglement and the phases of matter Imperial College May 16, 2012 Lecture at the 100th anniversary Solvay conference, Theory of the Quantum World, chair D.J. Gross. arxiv:1203.4565 sachdev.physics.harvard.edu
More informationQuantum Criticality. S. Sachdev and B. Keimer, Physics Today, February Talk online: sachdev.physics.harvard.edu HARVARD. Thursday, May 5, 2011
Quantum Criticality S. Sachdev and B. Keimer, Physics Today, February 2011 Talk online: sachdev.physics.harvard.edu HARVARD What is a quantum phase transition? Non-analyticity in ground state properties
More informationAdS/CFT and condensed matter. Talk online: sachdev.physics.harvard.edu
AdS/CFT and condensed matter Talk online: sachdev.physics.harvard.edu Particle theorists Sean Hartnoll, KITP Christopher Herzog, Princeton Pavel Kovtun, Victoria Dam Son, Washington Condensed matter theorists
More informationQuantum criticality in the cuprate superconductors. Talk online: sachdev.physics.harvard.edu
Quantum criticality in the cuprate superconductors Talk online: sachdev.physics.harvard.edu The cuprate superconductors Destruction of Neel order in the cuprates by electron doping, R. K. Kaul, M. Metlitksi,
More informationQuantum phase transitions in condensed matter physics, with connections to string theory
Quantum phase transitions in condensed matter physics, with connections to string theory sachdev.physics.harvard.edu HARVARD High temperature superconductors Cuprates High temperature superconductors Pnictides
More informationQuantum phase transitions of insulators, superconductors and metals in two dimensions
Quantum phase transitions of insulators, superconductors and metals in two dimensions Talk online: sachdev.physics.harvard.edu HARVARD Outline 1. Phenomenology of the cuprate superconductors (and other
More informationQuantum disordering magnetic order in insulators, metals, and superconductors
Quantum disordering magnetic order in insulators, metals, and superconductors Perimeter Institute, Waterloo, May 29, 2010 Talk online: sachdev.physics.harvard.edu HARVARD Cenke Xu, Harvard arxiv:1004.5431
More informationSubir Sachdev Harvard University
Quantum phase transitions of correlated electrons and atoms Subir Sachdev Harvard University See also: Quantum phase transitions of correlated electrons in two dimensions, cond-mat/0109419. Quantum Phase
More informationSubir Sachdev Harvard University
Quantum phase transitions of correlated electrons and atoms Subir Sachdev Harvard University Course at Harvard University: Physics 268r Classical and Quantum Phase Transitions. MWF 10 in Jefferson 256
More informationThe phase diagram of the cuprates and the quantum phase transitions of metals in two dimensions
The phase diagram of the cuprates and the quantum phase transitions of metals in two dimensions Niels Bohr Institute, Copenhagen, May 6, 2010 Talk online: sachdev.physics.harvard.edu HARVARD Max Metlitski,
More information2. Spin liquids and valence bond solids
Outline 1. Coupled dimer antiferromagnets Landau-Ginzburg quantum criticality 2. Spin liquids and valence bond solids (a) Schwinger-boson mean-field theory - square lattice (b) Gauge theories of perturbative
More informationStrange metals and gauge-gravity duality
Strange metals and gauge-gravity duality Loughborough University, May 17, 2012 Subir Sachdev Lecture at the 100th anniversary Solvay conference, Theory of the Quantum World, chair D.J. Gross. arxiv:1203.4565
More informationThe underdoped cuprates as fractionalized Fermi liquids (FL*)
The underdoped cuprates as fractionalized Fermi liquids (FL*) R. K. Kaul, A. Kolezhuk, M. Levin, S. Sachdev, and T. Senthil, Physical Review B 75, 235122 (2007) R. K. Kaul, Y. B. Kim, S. Sachdev, and T.
More informationAdS/CFT and condensed matter
AdS/CFT and condensed matter Reviews: arxiv:0907.0008 arxiv:0901.4103 arxiv:0810.3005 (with Markus Mueller) Talk online: sachdev.physics.harvard.edu HARVARD Lars Fritz, Harvard Victor Galitski, Maryland
More informationQuantum phase transitions in coupled dimer compounds
Quantum phase transitions in coupled dimer compounds Omid Nohadani, 1 Stefan Wessel, 2 and Stephan Haas 1 1 Department of Physics and Astronomy, University of Southern California, Los Angeles, California
More informationQuantum criticality of Fermi surfaces in two dimensions
Quantum criticality of Fermi surfaces in two dimensions Talk online: sachdev.physics.harvard.edu HARVARD Yejin Huh, Harvard Max Metlitski, Harvard HARVARD Outline 1. Quantum criticality of Fermi points:
More informationarxiv: v4 [cond-mat.str-el] 26 Oct 2011
Quantum phase transitions of antiferromagnets and the cuprate superconductors Subir Sachdev arxiv:1002.3823v4 [cond-mat.str-el] 26 Oct 2011 Abstract I begin with a proposed global phase diagram of the
More informationGeneral relativity and the cuprates
General relativity and the cuprates Gary T. Horowitz and Jorge E. Santos Department of Physics, University of California, Santa Barbara, CA 93106, U.S.A. E-mail: gary@physics.ucsb.edu, jss55@physics.ucsb.edu
More informationarxiv: v1 [cond-mat.str-el] 7 Oct 2009
Finite temperature dissipation and transport near quantum critical points Subir Sachdev Department of Physics, Harvard University, Cambridge MA 02138 (Dated: Oct 5, 2009) arxiv:0910.1139v1 [cond-mat.str-el]
More informationGlobal phase diagrams of two-dimensional quantum antiferromagnets. Subir Sachdev Harvard University
Global phase diagrams of two-dimensional quantum antiferromagnets Cenke Xu Yang Qi Subir Sachdev Harvard University Outline 1. Review of experiments Phases of the S=1/2 antiferromagnet on the anisotropic
More informationSaturday, April 3, 2010
Phys. Rev. Lett. 1990 Superfluid-insulator transition Ultracold 87 Rb atoms - bosons M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002). T σ = 4e2 h Σ Quantum Σ, auniversalnumber.
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 informationTheory of the competition between spin density waves and d-wave superconductivity in the underdoped cuprates
HARVARD Theory of the competition between spin density waves and d-wave superconductivity in the underdoped cuprates Talk online: sachdev.physics.harvard.edu HARVARD Where is the quantum critical point
More informationA quantum dimer model for the pseudogap metal
A quantum dimer model for the pseudogap metal College de France, Paris March 27, 2015 Subir Sachdev Talk online: sachdev.physics.harvard.edu HARVARD Andrea Allais Matthias Punk Debanjan Chowdhury (Innsbruck)
More informationPressure- and field-induced magnetic quantum phase transitions in TlCuCl 3
INSTITUTE OF PHYSICSPUBLISHING JOURNAL OFPHYSICS: CONDENSED MATTER J. Phys.: Condens. Matter 1 () S7 S73 PII: S953-9()7153-3 Pressure- and field-induced magnetic quantum phase transitions in TlCuCl 3 BNormand
More informationQuantum criticality, the AdS/CFT correspondence, and the cuprate superconductors
Quantum criticality, the AdS/CFT correspondence, and the cuprate superconductors Talk online: sachdev.physics.harvard.edu HARVARD Frederik Denef, Harvard Max Metlitski, Harvard Sean Hartnoll, Harvard Christopher
More informationSign-problem-free Quantum Monte Carlo of the onset of antiferromagnetism in metals
Sign-problem-free Quantum Monte Carlo of the onset of antiferromagnetism in metals Subir Sachdev sachdev.physics.harvard.edu HARVARD Max Metlitski Erez Berg HARVARD Max Metlitski Erez Berg Sean Hartnoll
More informationDetecting collective excitations of quantum spin liquids. Talk online: sachdev.physics.harvard.edu
Detecting collective excitations of quantum spin liquids Talk online: sachdev.physics.harvard.edu arxiv:0809.0694 Yang Qi Harvard Cenke Xu Harvard Max Metlitski Harvard Ribhu Kaul Microsoft Roger Melko
More informationGordon Research Conference Correlated Electron Systems Mount Holyoke, June 27, 2012
Entanglement, holography, and strange metals Gordon Research Conference Correlated Electron Systems Mount Holyoke, June 27, 2012 Lecture at the 100th anniversary Solvay conference, Theory of the Quantum
More informationSpin liquids on the triangular lattice
Spin liquids on the triangular lattice ICFCM, Sendai, Japan, Jan 11-14, 2011 Talk online: sachdev.physics.harvard.edu HARVARD Outline 1. Classification of spin liquids Quantum-disordering magnetic order
More informationTalk online at
Talk online at http://sachdev.physics.harvard.edu Outline 1. CFT3s in condensed matter physics Superfluid-insulator and Neel-valence bond solid transitions 2. Quantum-critical transport Collisionless-t0-hydrodynamic
More informationTopological order in the pseudogap metal
HARVARD Topological order in the pseudogap metal High Temperature Superconductivity Unifying Themes in Diverse Materials 2018 Aspen Winter Conference Aspen Center for Physics Subir Sachdev January 16,
More informationQuantum criticality and the phase diagram of the cuprates
Quantum criticality and the phase diagram of the cuprates Talk online: sachdev.physics.harvard.edu HARVARD Victor Galitski, Maryland Ribhu Kaul, Harvard Kentucky Max Metlitski, Harvard Eun Gook Moon, Harvard
More informationOrder and quantum phase transitions in the cuprate superconductors
Order and quantum phase transitions in the cuprate superconductors Eugene Demler (Harvard) Kwon Park (Maryland) Anatoli Polkovnikov Subir Sachdev Matthias Vojta (Karlsruhe) Ying Zhang (Maryland) Talk online:
More informationConfinement-deconfinement transitions in Z 2 gauge theories, and deconfined criticality
HARVARD Confinement-deconfinement transitions in Z 2 gauge theories, and deconfined criticality Indian Institute of Science Education and Research, Pune Subir Sachdev November 15, 2017 Talk online: sachdev.physics.harvard.edu
More informationarxiv: v1 [hep-th] 16 Feb 2010
Condensed matter and AdS/CFT Subir Sachdev arxiv:1002.2947v1 [hep-th] 16 Feb 2010 Lectures at the 5th Aegean summer school, From gravity to thermal gauge theories: the AdS/CFT correspondence, Adamas, Milos
More informationElectronic quasiparticles and competing orders in the cuprate superconductors
Electronic quasiparticles and competing orders in the cuprate superconductors Andrea Pelissetto Rome Subir Sachdev Ettore Vicari Pisa Yejin Huh Harvard Harvard Gapless nodal quasiparticles in d-wave superconductors
More informationQuantum Phase Transitions
Quantum Phase Transitions Subir Sachdev Department of Physics Yale University P.O. Box 208120, New Haven, CT 06520-8120 USA E-mail: subir.sachdev@yale.edu May 19, 2004 To appear in Encyclopedia of Mathematical
More informationBond operator methods for dimerized antiferromagnets
Bond operator methods for dimerized antiferromagnets Subir Sachdev Department of Physics, Harvard University, Cambridge MA 0138 1 Coupled dimer antiferromagnet We begin by describing the quantum phase
More informationQuantum Criticality and Black Holes
Quantum Criticality and Black Holes ubir Sachde Talk online at http://sachdev.physics.harvard.edu Quantum Entanglement Hydrogen atom: Hydrogen molecule: = _ = 1 2 ( ) Superposition of two electron states
More informationA non-fermi liquid: Quantum criticality of metals near the Pomeranchuk instability
A non-fermi liquid: Quantum criticality of metals near the Pomeranchuk instability Subir Sachdev sachdev.physics.harvard.edu HARVARD y x Fermi surface with full square lattice symmetry y x Spontaneous
More informationDual vortex theory of doped antiferromagnets
Dual vortex theory of doped antiferromagnets Physical Review B 71, 144508 and 144509 (2005), cond-mat/0502002, cond-mat/0511298 Leon Balents (UCSB) Lorenz Bartosch (Harvard) Anton Burkov (Harvard) Predrag
More informationPhase Transitions in Condensed Matter Spontaneous Symmetry Breaking and Universality. Hans-Henning Klauss. Institut für Festkörperphysik TU Dresden
Phase Transitions in Condensed Matter Spontaneous Symmetry Breaking and Universality Hans-Henning Klauss Institut für Festkörperphysik TU Dresden 1 References [1] Stephen Blundell, Magnetism in Condensed
More informationGapless Spin Liquids in Two Dimensions
Gapless Spin Liquids in Two Dimensions MPA Fisher (with O. Motrunich, Donna Sheng, Matt Block) Boulder Summerschool 7/20/10 Interest Quantum Phases of 2d electrons (spins) with emergent rather than broken
More informationSUPPLEMENTARY INFORMATION
doi:10.1038/nature09910 Supplementary Online Material METHODS Single crystals were made at Kyoto University by the electrooxidation of BEDT-TTF in an 1,1,2- tetrachloroethylene solution of KCN, CuCN, and
More informationThe Superfluid-Insulator transition
The Superfluid-Insulator transition Boson Hubbard model M.P. A. Fisher, P.B. Weichmann, G. Grinstein, and D.S. Fisher, Phys. Rev. B 40, 546 (1989). Superfluid-insulator transition Ultracold 87 Rb atoms
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 informationQuantum phase transitions in Mott insulators and d-wave superconductors
Quantum phase transitions in Mott insulators and d-wave superconductors Subir Sachdev Matthias Vojta (Augsburg) Ying Zhang Science 286, 2479 (1999). Transparencies on-line at http://pantheon.yale.edu/~subir
More informationZ 2 topological order near the Neel state on the square lattice
HARVARD Z 2 topological order near the Neel state on the square lattice Institut für Theoretische Physik Universität Heidelberg April 28, 2017 Subir Sachdev Talk online: sachdev.physics.harvard.edu Shubhayu
More informationUniversal Post-quench Dynamics at a Quantum Critical Point
Universal Post-quench Dynamics at a Quantum Critical Point Peter P. Orth University of Minnesota, Minneapolis, USA Rutgers University, 10 March 2016 References: P. Gagel, P. P. Orth, J. Schmalian Phys.
More informationEntanglement, holography, and strange metals
Entanglement, holography, and strange metals University of Cologne, June 8, 2012 Subir Sachdev Lecture at the 100th anniversary Solvay conference, Theory of the Quantum World, chair D.J. Gross. arxiv:1203.4565
More informationTuning order in the cuprate superconductors
Tuning order in the cuprate superconductors Eugene Demler (Harvard) Kwon Park Anatoli Polkovnikov Subir Sachdev Matthias Vojta (Augsburg) Ying Zhang Science 286, 2479 (1999). Transparencies online at http://pantheon.yale.edu/~subir
More informationThe quantum phases of matter. sachdev.physics.harvard.edu
The quantum phases of matter sachdev.physics.harvard.edu The phases of matter: The phases of matter: Solids Liquids Gases The phases of matter: Solids Liquids Gases Theory of the phases of matter: Theory
More informationElectrical transport near a pair-breaking superconductor-metal quantum phase transition
Electrical transport near a pair-breaking superconductor-metal quantum phase transition Emily Dunkel (Harvard) Joel Moore (Berkeley) Daniel Podolsky (Berkeley) Subir Sachdev (Harvard) Ashvin Vishwanath
More informationQuantum and classical criticality in a dimerised quantum antiferromagnet
Quantum and classical criticality in a dimerised quantum antiferromagnet P. Merchant, B. Normand, 2 K. W. Krämer, 3 M. Boehm, 4 D. F. McMorrow,, 5, 6 and Ch. Rüegg ondon Centre for Nanotechnology and Department
More informationTuning order in the cuprate superconductors by a magnetic field
Tuning order in the cuprate superconductors by a magnetic field Eugene Demler (Harvard) Kwon Park Anatoli Polkovnikov Subir Sachdev Matthias Vojta (Augsburg) Ying Zhang Science 286, 2479 (1999). Transparencies
More information(Effective) Field Theory and Emergence in Condensed Matter
(Effective) Field Theory and Emergence in Condensed Matter T. Senthil (MIT) Effective field theory in condensed matter physics Microscopic models (e.g, Hubbard/t-J, lattice spin Hamiltonians, etc) `Low
More information3. Quantum matter without quasiparticles
1. Review of Fermi liquid theory Topological argument for the Luttinger theorem 2. Fractionalized Fermi liquid A Fermi liquid co-existing with topological order for the pseudogap metal 3. Quantum matter
More informationQuantum Phase Transitions
Quantum Phase Transitions Subir Sachdev Talks online at http://sachdev.physics.harvard.edu What is a phase transition? A change in the collective properties of a macroscopic number of atoms What is a quantum
More informationQuantum spin systems - models and computational methods
Summer School on Computational Statistical Physics August 4-11, 2010, NCCU, Taipei, Taiwan Quantum spin systems - models and computational methods Anders W. Sandvik, Boston University Lecture outline Introduction
More informationCondensed Matter Physics in the City London, June 20, 2012
Entanglement, holography, and the quantum phases of matter Condensed Matter Physics in the City London, June 20, 2012 Lecture at the 100th anniversary Solvay conference, Theory of the Quantum World arxiv:1203.4565
More informationSU(N) magnets: from a theoretical abstraction to reality
1 SU(N) magnets: from a theoretical abstraction to reality Victor Gurarie University of Colorado, Boulder collaboration with M. Hermele, A.M. Rey Aspen, May 2009 In this talk 2 SU(N) spin models are more
More informationQuantum Monte Carlo simulations of deconfined quantum criticality at. the 2D Néel-VBS transition. Anders W. Sandvik, Boston University
Quantum Monte Carlo Methods at Work for Novel Phases of Matter Trieste, Italy, Jan 23 - Feb 3, 2012 Quantum Monte Carlo simulations of deconfined quantum criticality at the 2D Néel-VBS transition Anders
More informationUnderstanding correlated electron systems by a classification of Mott insulators
Understanding correlated electron systems by a classification of Mott insulators Eugene Demler (Harvard) Kwon Park (Maryland) Anatoli Polkovnikov Subir Sachdev T. Senthil (MIT) Matthias Vojta (Karlsruhe)
More informationQuantum transitions of d-wave superconductors in a magnetic field
Quantum transitions of d-wave superconductors in a magnetic field Eugene Demler (Harvard) Kwon Park Anatoli Polkovnikov Subir Sachdev Matthias Vojta (Augsburg) Ying Zhang Science 86, 479 (1999). Transparencies
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 informationQuantum Monte Carlo Simulations in the Valence Bond Basis. Anders Sandvik, Boston University
Quantum Monte Carlo Simulations in the Valence Bond Basis Anders Sandvik, Boston University Outline The valence bond basis for S=1/2 spins Projector QMC in the valence bond basis Heisenberg model with
More informationNematic and Magnetic orders in Fe-based Superconductors
Nematic and Magnetic orders in Fe-based Superconductors Cenke Xu Harvard University Collaborators: Markus Mueller, Yang Qi Subir Sachdev, Jiangping Hu Collaborators: Subir Sachdev Markus Mueller Yang Qi
More informationA New look at the Pseudogap Phase in the Cuprates.
A New look at the Pseudogap Phase in the Cuprates. Patrick Lee MIT Common themes: 1. Competing order. 2. superconducting fluctuations. 3. Spin gap: RVB. What is the elephant? My answer: All of the above!
More informationDeconfined Quantum Critical Points
Deconfined Quantum Critical Points Outline: with T. Senthil, Bangalore A. Vishwanath, UCB S. Sachdev, Yale L. Balents, UCSB conventional quantum critical points Landau paradigm Seeking a new paradigm -
More informationSpin liquid phases in strongly correlated lattice models
Spin liquid phases in strongly correlated lattice models Sandro Sorella Wenjun Hu, F. Becca SISSA, IOM DEMOCRITOS, Trieste Seiji Yunoki, Y. Otsuka Riken, Kobe, Japan (K-computer) Williamsburg, 14 June
More informationEntanglement, holography, and strange metals
Entanglement, holography, and strange metals PCTS, Princeton, October 26, 2012 Subir Sachdev Talk online at sachdev.physics.harvard.edu HARVARD Liza Huijse Max Metlitski Brian Swingle Complex entangled
More informationEnergy Spectrum and Broken spin-surface locking in Topological Insulator quantum dots
Energy Spectrum and Broken spin-surface locking in Topological Insulator quantum dots A. Kundu 1 1 Heinrich-Heine Universität Düsseldorf, Germany The Capri Spring School on Transport in Nanostructures
More informationMetals without quasiparticles
Metals without quasiparticles A. Review of Fermi liquid theory B. A non-fermi liquid: the Ising-nematic quantum critical point C. Fermi surfaces and gauge fields Metals without quasiparticles A. Review
More informationNon-magnetic states. The Néel states are product states; φ N a. , E ij = 3J ij /4 2 The Néel states have higher energy (expectations; not eigenstates)
Non-magnetic states Two spins, i and j, in isolation, H ij = J ijsi S j = J ij [Si z Sj z + 1 2 (S+ i S j + S i S+ j )] For Jij>0 the ground state is the singlet; φ s ij = i j i j, E ij = 3J ij /4 2 The
More informationQuantum Monte Carlo Simulations in the Valence Bond Basis
NUMERICAL APPROACHES TO QUANTUM MANY-BODY SYSTEMS, IPAM, January 29, 2009 Quantum Monte Carlo Simulations in the Valence Bond Basis Anders W. Sandvik, Boston University Collaborators Kevin Beach (U. of
More informationSYK models and black holes
SYK models and black holes Black Hole Initiative Colloquium Harvard, October 25, 2016 Subir Sachdev Talk online: sachdev.physics.harvard.edu HARVARD Wenbo Fu, Harvard Yingfei Gu, Stanford Richard Davison,
More informationQuantum spin liquids and the Mott transition. T. Senthil (MIT)
Quantum spin liquids and the Mott transition T. Senthil (MIT) Friday, December 9, 2011 Band versus Mott insulators Band insulators: even number of electrons per unit cell; completely filled bands Mott
More informationThe Higgs particle in condensed matter
The Higgs particle in condensed matter Assa Auerbach, Technion N. H. Lindner and A. A, Phys. Rev. B 81, 054512 (2010) D. Podolsky, A. A, and D. P. Arovas, Phys. Rev. B 84, 174522 (2011)S. Gazit, D. Podolsky,
More informationOrder and quantum phase transitions in the cuprate superconductors
Order and quantum phase transitions in the cuprate superconductors Subir Sachdev Department of Physics, Yale University, P.O. Box 208120, New Haven CT 06520-8120 March 26, 2003 Abstract This is a summary
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 informationDeconfined Quantum Critical Points
Deconfined Quantum Critical Points Leon Balents T. Senthil, MIT A. Vishwanath, UCB S. Sachdev, Yale M.P.A. Fisher, UCSB Outline Introduction: what is a DQCP Disordered and VBS ground states and gauge theory
More informationThe onset of antiferromagnetism in metals: from the cuprates to the heavy fermion compounds
The onset of antiferromagnetism in metals: from the cuprates to the heavy fermion compounds Twelfth Arnold Sommerfeld Lecture Series January 31 - February 3, 2012 sachdev.physics.harvard.edu HARVARD Max
More informationQuantum Magnetism. P. Mendels Lab. Physique des solides, UPSud From basics to recent developments: a flavor
Quantum Magnetism P. Mendels Lab. Physique des solides, UPSud philippe.mendels@u-psud.fr From basics to recent developments: a flavor Quantum phase transitions Model physics for fermions, bosons, problems
More informationUnusual ordered phases of magnetized frustrated antiferromagnets
Unusual ordered phases of magnetized frustrated antiferromagnets Credit: Francis Pratt / ISIS / STFC Oleg Starykh University of Utah Leon Balents and Andrey Chubukov Novel states in correlated condensed
More information2015 Summer School on Emergent Phenomena in Quantum Materials. Program Overview
Emergent Phenomena in Quantum Materials Program Overview Each talk to be 45min with 15min Q&A. Monday 8/3 8:00AM Registration & Breakfast 9:00-9:10 Welcoming Remarks 9:10-10:10 Eugene Demler Harvard University
More informationFrom the pseudogap to the strange metal
HARVARD From the pseudogap to the strange metal S. Sachdev, E. Berg, S. Chatterjee, and Y. Schattner, PRB 94, 115147 (2016) S. Sachdev and S. Chatterjee, arxiv:1703.00014 APS March meeting March 13, 2017
More informationEmergent gauge fields and the high temperature superconductors
HARVARD Emergent gauge fields and the high temperature superconductors Unifying physics and technology in light of Maxwell s equations The Royal Society, London November 16, 2015 Subir Sachdev Talk online:
More informationQuantum Spin-Metals in Weak Mott Insulators
Quantum Spin-Metals in Weak Mott Insulators MPA Fisher (with O. Motrunich, Donna Sheng, Simon Trebst) Quantum Critical Phenomena conference Toronto 9/27/08 Quantum Spin-metals - spin liquids with Bose
More informationSubir Sachdev. Yale University. C. Buragohain K. Damle M. Vojta
C. Buragohain K. Damle M. Vojta Subir Sachdev Phys. Rev. Lett. 78, 943 (1997). Phys. Rev. B 57, 8307 (1998). Science 286, 2479 (1999). cond-mat/9912020 Quantum Phase Transitions, Cambridge University Press
More informationFully symmetric and non-fractionalized Mott insulators at fractional site-filling
Fully symmetric and non-fractionalized Mott insulators at fractional site-filling Itamar Kimchi University of California, Berkeley EQPCM @ ISSP June 19, 2013 PRL 2013 (kagome), 1207.0498...[PNAS] (honeycomb)
More informationEffects of spin-orbit coupling on the BKT transition and the vortexantivortex structure in 2D Fermi Gases
Effects of spin-orbit coupling on the BKT transition and the vortexantivortex structure in D Fermi Gases Carlos A. R. Sa de Melo Georgia Institute of Technology QMath13 Mathematical Results in Quantum
More information