Vortex States in a Non-Abelian Magnetic Field
|
|
|
- Hilary Cain
- 5 years ago
- Views:
Transcription
1 Vortex States in a Non-Abelian Magnetic Field Predrag Nikolić George Mason University Institute for Quantum Johns Hopkins University SESAPS November 10, 2016
2 Acknowledgments Collin Broholm Johns Hopkins Wesley T. Fuhrman Johns Hopkins US Department of Energy National Science Foundation Zlatko Tešanović Johns Hopkins 2/17
3 Topological Train Tracks Z2 topology in 1D: Odd # of defects in a loop (measurable) Defects can be created or removed in pairs Invariant: the presence of a charm element 3/17
4 Superconductivity in Correlated TIs Electrons on the TI boundary + interactions Pairing in a SU(2) magnetic field Spin-triplets are enhanced by S.O.C. (Rashba: momentum-dependent Zeeman effect) Vortex lattices of spin supercurrents Incompressible quantum vortex liquids (non-abelian fractional TIs) PN, T.Duric, Z.Tesanovic PRL 110, (2013) W. T. Fuhrman, J. Leiner, P. N, et.al, PRL 114, (2015) 4/17
5 Rashba S.O.C. on a TI's Boundary Particles + static SU(2) gauge field SU(2) generators (spin projection matrices) Yang-Mills flux matrix ( magnetic for μ=0) D. Hsieh, et.al, PRL 103, (2009) Y. Zhang, et.al, Nature Phys. 6, 584 (2010) Rashba S.O.C. Dirac spectrum... Cyclotron: SU(2) flux: 5/17
6 Triplet Pairing in Correlated TIs TI ultra-thin film Phonon proximity effect Kondo TI surface (SmB6) 2D heavy fermions exciton Cooper 6/17
7 Pairing Channels The minimal TR-invariant topological band-insulator 2 spin states ( ) X 2 surface states ( short-range interactions ) Decouple all interactions 6 Hubbard-Stratonovich fields: Spin-singlet: Spin-triplet:, 7/17
8 Effective Theory The most generic Cooper-pair action Integrate out all fermion fields near the Cooper Mott transition Spin-triplets feel spin-orbit coupling Constructed from the SU(2) gauge symmetry (idealized) There is SU(2) magnetic flux: 8/17
9 Triplet Condensates & Vortices Rashba S.O.C.: momentum-dependent Zeeman A large-momentum mode has low energy PN, PRA 90, (2014) Landau-Ginzburg picture Helical spin-current T1 & T2 condensates T1 phase can be TR-invariant T1 breaks rotation and translation symmetries T1 has metastable vortex clusters & lattices 9/17
10 Type-I Condensates TR-invariant spin current Depleted (α=π/2) inside a θ-vortex Spin current densities Rashba S.O.C. 10/17
11 Type-I Vortices Conservation laws: no sources for, and source/drain vortex is Neutrality: vortex quadruplets vortices carry two charges U(1) q (anti)vortex is bound to Ñ a vector (anti)vortex 11/17
12 Type-I Vortex Structures Non-neutral clusters Domain wall Vortex lattice unit cell is a quadruplet square geometry a changes by np between singularities rigid (meta)stable structure one (n =1) vortex per SU(2) flux quantum 12/17
13 Stability of Vortex States Continuum: vortex cores are costly uniform states Do vortex lattices ever win? good candidates: metastable type-i structures tight-binding lattice systems: vortex cores are cheap (if small) entropy favors vortices (order by disorder, or vortex liquids) Microscopic lattice model triplet pairing of fermions with Rashba S.O.C. on a square lattice bilayer (triplet superconductivity in a TI film) 13/17
14 The Hamiltonian of TI Surfaces 2D tight-binding model SU(2) gauge field on lattice links Singularity Dirac point in E(k) at some energy Dirac points can be gapped only in pairs (TR symmetry) SmB6 (100 surface): M is gapped (bulk TI) SU(2) charge: g = τ z = ±1 helicity of spin-momentum locking Continuum limit Rashba spin-orbit coupling Yang-Mills (magnetic) flux 14/17
15 Competing Orders PN, PRB 94, (2016) 15/17
16 Vortex Lattice Melting Quantum fluctuations Positional fluctuations of SU(2) vortices Grow when the condensate is weakened (by tuning the gate voltage) Eventually, 1st order phase transition (preempts the 2nd order one) PN, T.Duric, Z.Tesanovic, PRL 110, (2013) Vortex liquid Particles per flux quantum ~ 1 Fractional TI PN, PRB 87, (2013) Cyclotron: SU(2) flux: Fractionalization by vortex lattice melting? Numerical evidence: N. Cooper, etc. U(1) bosonic quantum Hall Field theory indications: a generalization of Chern-Simons 16/17
17 Conclusions Electrons on the TI boundary + interactions Pairing in a SU(2) magnetic field Vortex lattices of spin supercurrents Quantum vortex liquids: non-abelian fractional TIs 17/17
18 Surface Instabilities Weak-coupling orders exciton Cooper Cooper: Exciton: Stronger coupling at The same triplets as in ultra-thin TI films TR-invariant: Vortex lattice TR-broken: 18/17
19 Type-II Condensates Spin current by charge current + spin texture Current densities & the Hamiltonian charge current + spin texture TR broken Rashba S.O.C. 19/17
20 Type-II Vortices Conservation laws: no sources for, and no sources for Vortex quadruplet not classically (meta)stable charge singularities bound to spin vortices (not antivortices) 20/17
Vortices and vortex states of Rashba spin-orbit coupled condensates
Vortices and vortex states of Rashba spin-orbit coupled condensates Predrag Nikolić George Mason University Institute for Quantum Matter @ Johns Hopkins University March 5, 2014 P.N, T.Duric, Z.Tesanovic,
Two-dimensional heavy fermions in Kondo topological insulators
Two-dimensional heavy fermions in Kondo topological insulators Predrag Nikolić George Mason University Institute for Quantum Matter @ Johns Hopkins University Rice University, August 28, 2014 Acknowledgments
Topological Kondo Insulator SmB 6. Tetsuya Takimoto
Topological Kondo Insulator SmB 6 J. Phys. Soc. Jpn. 80 123720, (2011). Tetsuya Takimoto Department of Physics, Hanyang University Collaborator: Ki-Hoon Lee (POSTECH) Content 1. Introduction of SmB 6 in-gap
Strongly 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
1. Topological insulators
Statement of Research Interests 1 Predrag Nikolić Predrag Nikolić Statement of Research Interests My general area of expertise is theoretical condensed matter physics. I explore the collective behaviors
Effects 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
Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators. Nagoya University Masatoshi Sato
Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators Nagoya University Masatoshi Sato In collaboration with Yukio Tanaka (Nagoya University) Keiji Yada (Nagoya University) Ai Yamakage
The Quantum Spin Hall Effect
The Quantum Spin Hall Effect Shou-Cheng Zhang Stanford University with Andrei Bernevig, Taylor Hughes Science, 314,1757 2006 Molenamp et al, Science, 318, 766 2007 XL Qi, T. Hughes, SCZ preprint The quantum
Exciton in the Topological Kondo Insulator SmB 6
Exciton in the Topological Kondo Insulator SmB 6 Collin Broholm* Institute for Quantum Matter, Johns Hopkins University Quantum Condensed Matter Division, Oak Ridge National Laboratory *Supported by U.S.
Topological Defects inside a Topological Band Insulator
Topological Defects inside a Topological Band Insulator Ashvin Vishwanath UC Berkeley Refs: Ran, Zhang A.V., Nature Physics 5, 289 (2009). Hosur, Ryu, AV arxiv: 0908.2691 Part 1: Outline A toy model of
Universal phase transitions in Topological lattice models
Universal phase transitions in Topological lattice models F. J. Burnell Collaborators: J. Slingerland S. H. Simon September 2, 2010 Overview Matter: classified by orders Symmetry Breaking (Ferromagnet)
The Superfluid Phase s of Helium 3
The Superfluid Phase s of Helium 3 DIETER VOLLHARD T Rheinisch-Westfälische Technische Hochschule Aachen, Federal Republic of German y PETER WÖLFL E Universität Karlsruhe Federal Republic of Germany PREFACE
LCI -birthplace of liquid crystal display. May, protests. Fashion school is in top-3 in USA. Clinical Psychology program is Top-5 in USA
LCI -birthplace of liquid crystal display May, 4 1970 protests Fashion school is in top-3 in USA Clinical Psychology program is Top-5 in USA Topological insulators driven by electron spin Maxim Dzero Kent
Topological Insulators
Topological Insulators Aira Furusai (Condensed Matter Theory Lab.) = topological insulators (3d and 2d) Outline Introduction: band theory Example of topological insulators: integer quantum Hall effect
Spin correlations in conducting and superconducting materials Collin Broholm Johns Hopkins University
Spin correlations in conducting and superconducting materials Collin Broholm Johns Hopkins University Supported by U.S. DoE Basic Energy Sciences, Materials Sciences & Engineering DE-FG02-08ER46544 Overview
Critical Spin-liquid Phases in Spin-1/2 Triangular Antiferromagnets. In collaboration with: Olexei Motrunich & Jason Alicea
Critical Spin-liquid Phases in Spin-1/2 Triangular Antiferromagnets In collaboration with: Olexei Motrunich & Jason Alicea I. Background Outline Avoiding conventional symmetry-breaking in s=1/2 AF Topological
Symmetric Surfaces of Topological Superconductor
Symmetric Surfaces of Topological Superconductor Sharmistha Sahoo Zhao Zhang Jeffrey Teo Outline Introduction Brief description of time reversal symmetric topological superconductor. Coupled wire model
Spinon magnetic resonance. Oleg Starykh, University of Utah
Spinon magnetic resonance Oleg Starykh, University of Utah May 17-19, 2018 Examples of current literature 200 cm -1 = 6 THz Spinons? 4 mev = 1 THz The big question(s) What is quantum spin liquid? No broken
Strongly 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
Superinsulator: a new topological state of matter
Superinsulator: a new topological state of matter M. Cristina Diamantini Nips laboratory, INFN and Department of Physics and Geology University of Perugia Coll: Igor Lukyanchuk, University of Picardie
Notes on Topological Insulators and Quantum Spin Hall Effect. Jouko Nieminen Tampere University of Technology.
Notes on Topological Insulators and Quantum Spin Hall Effect Jouko Nieminen Tampere University of Technology. Not so much discussed concept in this session: topology. In math, topology discards small details
Ψ({z i }) = i<j(z i z j ) m e P i z i 2 /4, q = ± e m.
Fractionalization of charge and statistics in graphene and related structures M. Franz University of British Columbia franz@physics.ubc.ca January 5, 2008 In collaboration with: C. Weeks, G. Rosenberg,
Spin liquids on ladders and in 2d
Spin liquids on ladders and in 2d MPA Fisher (with O. Motrunich) Minnesota, FTPI, 5/3/08 Interest: Quantum Spin liquid phases of 2d Mott insulators Background: Three classes of 2d Spin liquids a) Topological
Surface Majorana Fermions in Topological Superconductors. ISSP, Univ. of Tokyo. Nagoya University Masatoshi Sato
Surface Majorana Fermions in Topological Superconductors ISSP, Univ. of Tokyo Nagoya University Masatoshi Sato Kyoto Tokyo Nagoya In collaboration with Satoshi Fujimoto (Kyoto University) Yoshiro Takahashi
Energy 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
Loop current order in optical lattices
JQI Summer School June 13, 2014 Loop current order in optical lattices Xiaopeng Li JQI/CMTC Outline Ultracold atoms confined in optical lattices 1. Why we care about lattice? 2. Band structures and Berry
What is a topological insulator? Ming-Che Chang Dept of Physics, NTNU
What is a topological insulator? Ming-Che Chang Dept of Physics, NTNU A mini course on topology extrinsic curvature K vs intrinsic (Gaussian) curvature G K 0 G 0 G>0 G=0 K 0 G=0 G
Topological insulators. Pavel Buividovich (Regensburg)
Topological insulators Pavel Buividovich (Regensburg) Hall effect Classical treatment Dissipative motion for point-like particles (Drude theory) Steady motion Classical Hall effect Cyclotron frequency
Preface 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
Topological Insulators
Topological Insulators A new state of matter with three dimensional topological electronic order L. Andrew Wray Lawrence Berkeley National Lab Princeton University Surface States (Topological Order in
Topological Defects in the Topological Insulator
Topological Defects in the Topological Insulator Ashvin Vishwanath UC Berkeley arxiv:0810.5121 YING RAN Frank YI ZHANG Quantum Hall States Exotic Band Topology Topological band Insulators (quantum spin
Intertwined Orders in High Temperature Superconductors
Intertwined Orders in High Temperature Superconductors! Eduardo Fradkin University of Illinois at Urbana-Champaign! Talk at SCES@60 Institute for Condensed Matter Theory University of Illinois at Urbana-Champaign
Proximity-induced magnetization dynamics, interaction effects, and phase transitions on a topological surface
Proximity-induced magnetization dynamics, interaction effects, and phase transitions on a topological surface Ilya Eremin Theoretische Physik III, Ruhr-Uni Bochum Work done in collaboration with: F. Nogueira
Time Reversal Invariant Ζ 2 Topological Insulator
Time Reversal Invariant Ζ Topological Insulator D Bloch Hamiltonians subject to the T constraint 1 ( ) ΘH Θ = H( ) with Θ = 1 are classified by a Ζ topological invariant (ν =,1) Understand via Bul-Boundary
Integer quantum Hall effect for bosons: A physical realization
Integer quantum Hall effect for bosons: A physical realization T. Senthil (MIT) and Michael Levin (UMCP). (arxiv:1206.1604) Thanks: Xie Chen, Zhengchen Liu, Zhengcheng Gu, Xiao-gang Wen, and Ashvin Vishwanath.
Topological Physics in Band Insulators II
Topological Physics in Band Insulators II Gene Mele University of Pennsylvania Topological Insulators in Two and Three Dimensions The canonical list of electric forms of matter is actually incomplete Conductor
Quantum Choreography: Exotica inside Crystals
Quantum Choreography: Exotica inside Crystals U. Toronto - Colloquia 3/9/2006 J. Alicea, O. Motrunich, T. Senthil and MPAF Electrons inside crystals: Quantum Mechanics at room temperature Quantum Theory
Fully 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)
Ideas 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
Topological Kondo Insulators!
Topological Kondo Insulators! Maxim Dzero, University of Maryland Collaborators: Kai Sun, University of Maryland Victor Galitski, University of Maryland Piers Coleman, Rutgers University Main idea Kondo
Superconducting properties of carbon nanotubes
Superconducting properties of carbon nanotubes Reinhold Egger Institut für Theoretische Physik Heinrich-Heine Universität Düsseldorf A. De Martino, F. Siano Overview Superconductivity in ropes of nanotubes
Phases of strongly-interacting bosons on a two-leg ladder
Phases of strongly-interacting bosons on a two-leg ladder Marie Piraud Arnold Sommerfeld Center for Theoretical Physics, LMU, Munich April 20, 2015 M. Piraud Phases of strongly-interacting bosons on a
Some open questions from the KIAS Workshop on Emergent Quantum Phases in Strongly Correlated Electronic Systems, Seoul, Korea, October 2005.
Some open questions from the KIAS Workshop on Emergent Quantum Phases in Strongly Correlated Electronic Systems, Seoul, Korea, October 2005. Q 1 (Balents) Are quantum effects important for physics of hexagonal
Topological Insulators and Ferromagnets: appearance of flat surface bands
Topological Insulators and Ferromagnets: appearance of flat surface bands Thomas Dahm University of Bielefeld T. Paananen and T. Dahm, PRB 87, 195447 (2013) T. Paananen et al, New J. Phys. 16, 033019 (2014)
Spin Superfluidity and Graphene in a Strong Magnetic Field
Spin Superfluidity and Graphene in a Strong Magnetic Field by B. I. Halperin Nano-QT 2016 Kyiv October 11, 2016 Based on work with So Takei (CUNY), Yaroslav Tserkovnyak (UCLA), and Amir Yacoby (Harvard)
Defects in topologically ordered states. Xiao-Liang Qi Stanford University Mag Lab, Tallahassee, 01/09/2014
Defects in topologically ordered states Xiao-Liang Qi Stanford University Mag Lab, Tallahassee, 01/09/2014 References Maissam Barkeshli & XLQ, PRX, 2, 031013 (2012) Maissam Barkeshli, Chaoming Jian, XLQ,
5 Topological insulator with time-reversal symmetry
Phys62.nb 63 5 Topological insulator with time-reversal symmetry It is impossible to have quantum Hall effect without breaking the time-reversal symmetry. xy xy. If we want xy to be invariant under, xy
Quantum Information Processing and Quantum Simulation with Ultracold Alkaline-Earth Atoms in Optical Lattices
Quantum Information Processing and Quantum Simulation with Ultracold Alkaline-Earth Atoms in Optical Lattices Alexey Gorshkov California Institute of Technology Mikhail Lukin, Eugene Demler, Cenke Xu -
Valence Bonds in Random Quantum Magnets
Valence Bonds in Random Quantum Magnets theory and application to YbMgGaO 4 Yukawa Institute, Kyoto, November 2017 Itamar Kimchi I.K., Adam Nahum, T. Senthil, arxiv:1710.06860 Valence Bonds in Random Quantum
Topological Bandstructures for Ultracold Atoms
Topological Bandstructures for Ultracold Atoms Nigel Cooper Cavendish Laboratory, University of Cambridge New quantum states of matter in and out of equilibrium GGI, Florence, 12 April 2012 NRC, PRL 106,
Quantum oscillations in insulators with neutral Fermi surfaces
Quantum oscillations in insulators with neutral Fermi surfaces ITF-Seminar IFW Institute - Dresden October 4, 2017 Inti Sodemann MPI-PKS Dresden Contents Theory of quantum oscillations of insulators with
team Hans Peter Büchler Nicolai Lang Mikhail Lukin Norman Yao Sebastian Huber
title 1 team 2 Hans Peter Büchler Nicolai Lang Mikhail Lukin Norman Yao Sebastian Huber motivation: topological states of matter 3 fermions non-interacting, filled band (single particle physics) topological
Rashba vs Kohn-Luttinger: evolution of p-wave superconductivity in magnetized two-dimensional Fermi gas subject to spin-orbit interaction
Rashba vs Kohn-Luttinger: evolution of p-wave superconductivity in magnetized two-dimensional Fermi gas subject to spin-orbit interaction Oleg Starykh, University of Utah with Dima Pesin, Ethan Lake, Caleb
Protection of the surface states of a topological insulator: Berry phase perspective
Protection of the surface states of a topological insulator: Berry phase perspective Ken-Ichiro Imura Hiroshima University collaborators: Yositake Takane Tomi Ohtsuki Koji Kobayashi Igor Herbut Takahiro
Field Theory Description of Topological States of Matter. Andrea Cappelli INFN, Florence (w. E. Randellini, J. Sisti)
Field Theory Description of Topological States of Matter Andrea Cappelli INFN, Florence (w. E. Randellini, J. Sisti) Topological States of Matter System with bulk gap but non-trivial at energies below
Topology driven quantum phase transitions
Topology driven quantum phase transitions Dresden July 2009 Simon Trebst Microsoft Station Q UC Santa Barbara Charlotte Gils Alexei Kitaev Andreas Ludwig Matthias Troyer Zhenghan Wang Topological quantum
(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
Spinor Bose gases lecture outline
Spinor Bose gases lecture outline 1. Basic properties 2. Magnetic order of spinor Bose-Einstein condensates 3. Imaging spin textures 4. Spin-mixing dynamics 5. Magnetic excitations We re here Coupling
Spin orbit interaction in graphene monolayers & carbon nanotubes
Spin orbit interaction in graphene monolayers & carbon nanotubes Reinhold Egger Institut für Theoretische Physik, Düsseldorf Alessandro De Martino Andreas Schulz, Artur Hütten MPI Dresden, 25.10.2011 Overview
Introductory lecture on topological insulators. Reza Asgari
Introductory lecture on topological insulators Reza Asgari Workshop on graphene and topological insulators, IPM. 19-20 Oct. 2011 Outlines -Introduction New phases of materials, Insulators -Theory quantum
lattice that you cannot do with graphene! or... Antonio H. Castro Neto
Theoretical Aspects What you can do with cold atomsof on agraphene honeycomb lattice that you cannot do with graphene! or... Antonio H. Castro Neto 2 Outline 1. Graphene for beginners 2. Fermion-Fermion
ARPES experiments on 3D topological insulators. Inna Vishik Physics 250 (Special topics: spectroscopies of quantum materials) UC Davis, Fall 2016
ARPES experiments on 3D topological insulators Inna Vishik Physics 250 (Special topics: spectroscopies of quantum materials) UC Davis, Fall 2016 Outline Using ARPES to demonstrate that certain materials
Quantum Spin Liquids and Majorana Metals
Quantum Spin Liquids and Majorana Metals Maria Hermanns University of Cologne M.H., S. Trebst, PRB 89, 235102 (2014) M.H., K. O Brien, S. Trebst, PRL 114, 157202 (2015) M.H., S. Trebst, A. Rosch, arxiv:1506.01379
Which Spin Liquid Is It?
Which Spin Liquid Is It? Some results concerning the character and stability of various spin liquid phases, and Some speculations concerning candidate spin-liquid phases as the explanation of the peculiar
Collective Effects. Equilibrium and Nonequilibrium Physics
Collective Effects in Equilibrium and Nonequilibrium Physics: Lecture 3, 3 March 2006 Collective Effects in Equilibrium and Nonequilibrium Physics Website: http://cncs.bnu.edu.cn/mccross/course/ Caltech
Quantum 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
Exploring Topological Phases With Quantum Walks
Exploring Topological Phases With Quantum Walks Tk Takuya Kitagawa, Erez Berg, Mark Rudner Eugene Demler Harvard University References: PRA 82:33429 and PRB 82:235114 (2010) Collaboration with A. White
Composite Dirac liquids
Composite Dirac liquids Composite Fermi liquid non-interacting 3D TI surface Interactions Composite Dirac liquid ~ Jason Alicea, Caltech David Mross, Andrew Essin, & JA, Physical Review X 5, 011011 (2015)
Interaction-induced Symmetry Protected Topological Phase in Harper-Hofstadter models
Interaction-induced Symmetry Protected Topological Phase in Harper-Hofstadter models arxiv:1609.03760 Lode Pollet Dario Hügel Hugo Strand, Philipp Werner (Uni Fribourg) Algorithmic developments diagrammatic
Quantum Transport in Disordered Topological Insulators
Quantum Transport in Disordered Topological Insulators Vincent Sacksteder IV, Royal Holloway, University of London Quansheng Wu, ETH Zurich Liang Du, University of Texas Austin Tomi Ohtsuki and Koji Kobayashi,
Simulations of Quantum Dimer Models
Simulations of Quantum Dimer Models Didier Poilblanc Laboratoire de Physique Théorique CNRS & Université de Toulouse 1 A wide range of applications Disordered frustrated quantum magnets Correlated fermions
Chiral spin liquids. Bela Bauer
Chiral spin liquids Bela Bauer Based on work with: Lukasz Cinco & Guifre Vidal (Perimeter Institute) Andreas Ludwig & Brendan Keller (UCSB) Simon Trebst (U Cologne) Michele Dolfi (ETH Zurich) Nature Communications
Disordered topological insulators with time-reversal symmetry: Z 2 invariants
Keio Topo. Science (2016/11/18) Disordered topological insulators with time-reversal symmetry: Z 2 invariants Hosho Katsura Department of Physics, UTokyo Collaborators: Yutaka Akagi (UTokyo) Tohru Koma
Contents Preface Physical Constants, Units, Mathematical Signs and Symbols Introduction Kinetic Theory and the Boltzmann Equation
V Contents Preface XI Physical Constants, Units, Mathematical Signs and Symbols 1 Introduction 1 1.1 Carbon Nanotubes 1 1.2 Theoretical Background 4 1.2.1 Metals and Conduction Electrons 4 1.2.2 Quantum
Quantum magnetism and the theory of strongly correlated electrons
Quantum magnetism and the theory of strongly correlated electrons Johannes Reuther Freie Universität Berlin Helmholtz Zentrum Berlin? Berlin, April 16, 2015 Johannes Reuther Quantum magnetism () Berlin,
Orbital 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
Superconductivities of doped Weyl semimetals
UIUC, Feb 5 th (2013) Superconductivities of doped Weyl semimetals Phys. Rev. B. 86, 214514 (2012) - Editors suggestion Gil Young Cho UC Berkeley Jens H Bardarson Yuan-Ming Lu Joel E Moore Plan. Part 1
Organizing Principles for Understanding Matter
Organizing Principles for Understanding Matter Symmetry Conceptual simplification Conservation laws Distinguish phases of matter by pattern of broken symmetries Topology Properties insensitive to smooth
The Remarkable Superconducting Stripe Phase of the High Tc Superconductor La2-xBaxCuO4 near x=1/8
The Remarkable Superconducting Stripe Phase of the High Tc Superconductor La2-xBaxCuO4 near x=1/8 Eduardo Fradkin University of Illinois at Urbana-Champaign Seminar at the Department of Physics Harvard
Inti Sodemann (MIT) Séptima Escuela de Física Matemática, Universidad de Los Andes, Bogotá, Mayo 25, 2015
Inti Sodemann (MIT) Séptima Escuela de Física Matemática, Universidad de Los Andes, Bogotá, Mayo 25, 2015 Contents Why are the fractional quantum Hall liquids amazing! Abelian quantum Hall liquids: Laughlin
The 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.
Emergent topological phenomena in antiferromagnets with noncoplanar spins
Emergent topological phenomena in antiferromagnets with noncoplanar spins - Surface quantum Hall effect - Dimensional crossover Bohm-Jung Yang (RIKEN, Center for Emergent Matter Science (CEMS), Japan)
Dynamics of Second Order Phase Transitions and Formation of Topological Defects. W. H. Zurek Los Alamos
Dynamics of Second Order Phase Transitions and Formation of Topological Defects W. H. Zurek Los Alamos QUANTUM ISING MODEL Lattice of spin 1/2 particles interacting with an external force (e.g., magnetic
Quantum Phases in Bose-Hubbard Models with Spin-orbit Interactions
Quantum Phases in Bose-Hubbard Models with Spin-orbit Interactions Shizhong Zhang The University of Hong Kong Institute for Advanced Study, Tsinghua 24 October 2012 The plan 1. Introduction to Bose-Hubbard
On the Higgs mechanism in the theory of
On the Higgs mechanism in the theory of superconductivity* ty Dietrich Einzel Walther-Meißner-Institut für Tieftemperaturforschung Bayerische Akademie der Wissenschaften D-85748 Garching Outline Phenomenological
Topological insulator (TI)
Topological insulator (TI) Haldane model: QHE without Landau level Quantized spin Hall effect: 2D topological insulators: Kane-Mele model for graphene HgTe quantum well InAs/GaSb quantum well 3D topological
Topological 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,
Emergent 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
Braid Group, Gauge Invariance and Topological Order
Braid Group, Gauge Invariance and Topological Order Yong-Shi Wu Department of Physics University of Utah Topological Quantum Computing IPAM, UCLA; March 2, 2007 Outline Motivation: Topological Matter (Phases)
Topological Insulators in 3D and Bosonization
Topological Insulators in 3D and Bosonization Andrea Cappelli, INFN Florence (w. E. Randellini, J. Sisti) Outline Topological states of matter: bulk and edge Fermions and bosons on the (1+1)-dimensional
Fundamentals and New Frontiers of Bose Einstein Condensation
Contents Preface v 1. Fundamentals of Bose Einstein Condensation 1 1.1 Indistinguishability of Identical Particles.......... 1 1.2 Ideal Bose Gas in a Uniform System............ 3 1.3 Off-Diagonal Long-Range
SUPERFLUIDTY IN ULTRACOLD ATOMIC GASES
College de France, May 14, 2013 SUPERFLUIDTY IN ULTRACOLD ATOMIC GASES Sandro Stringari Università di Trento CNR-INFM PLAN OF THE LECTURES Lecture 1. Superfluidity in ultra cold atomic gases: examples
Time - domain THz spectroscopy on the topological insulator Bi2Se3 (and its superconducting bilayers)
Time - domain THz spectroscopy on the topological insulator Bi2Se3 (and its superconducting bilayers) N. Peter Armitage The Institute of Quantum Matter The Johns Hopkins University Acknowledgements Liang
The Role Of Magnetic Monopoles In Quark Confinement (Field Decomposition Approach)
The Role Of Magnetic Monopoles In Quark Confinement (Field Decomposition Approach) IPM school and workshop on recent developments in Particle Physics (IPP11) 2011, Tehran, Iran Sedigheh Deldar, University
POEM: Physics of Emergent Materials
POEM: Physics of Emergent Materials Nandini Trivedi L1: Spin Orbit Coupling L2: Topology and Topological Insulators Reference: Bernevig Topological Insulators and Topological Superconductors Tutorials:
Hidden Symmetry and Quantum Phases in Spin 3/2 Cold Atomic Systems
Hidden Symmetry and Quantum Phases in Spin / Cold Atomic Systems Congjun Wu Kavli Institute for Theoretical Physics, UCSB Ref: C. Wu, Mod. Phys. Lett. B 0, 707, (006); C. Wu, J. P. Hu, and S. C. Zhang,
Experimental reconstruction of the Berry curvature in a topological Bloch band
Experimental reconstruction of the Berry curvature in a topological Bloch band Christof Weitenberg Workshop Geometry and Quantum Dynamics Natal 29.10.2015 arxiv:1509.05763 (2015) Topological Insulators
Chiral Majorana fermion from quantum anomalous Hall plateau transition
Chiral Majorana fermion from quantum anomalous Hall plateau transition Phys. Rev. B, 2015 王靖复旦大学物理系 wjingphys@fudan.edu.cn Science, 2017 1 Acknowledgements Stanford Biao Lian Quan Zhou Xiao-Liang Qi Shou-Cheng
Takuya Kitagawa, Dima Abanin, Immanuel Bloch, Erez Berg, Mark Rudner, Liang Fu, Takashi Oka, Eugene Demler
Exploring topological states with synthetic matter Takuya Kitagawa, Dima Abanin, Immanuel Bloch, Erez Berg, Mark Rudner, Liang Fu, Takashi Oka, Eugene Demler Harvard-MIT $$ NSF, AFOSR MURI, DARPA OLE,
How spin, charge and superconducting orders intertwine in the cuprates
How spin, charge and superconducting orders intertwine in the cuprates Eduardo Fradkin University of Illinois at Urbana-Champaign Talk at the Kavli Institute for Theoretical Physics Program on Higher temperature