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journal
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The phase transitions between Z n × Z n bosonic topological phases in 1 + 1D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases
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June 2017 |
Is the Composite Fermion a Dirac Particle?
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journal
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September 2015 |
Field Theories of Condensed Matter Physics
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book
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January 2013 |
Antiferromagnetism. The Triangular Ising Net
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journal
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July 1950 |
Many-body systems with non-abelian statistics
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May 1992 |
Quantum orders and symmetric spin liquids
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journal
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April 2002 |
Number conserving theory for topologically protected degeneracy in one-dimensional fermions
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October 2011 |
Classification of symmetry enriched topological phases with exactly solvable models
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April 2013 |
Conformal invariance and universality in finite-size scaling
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May 1984 |
Bipartite Rokhsar–Kivelson points and Cantor deconfinement
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June 2004 |
Quantum criticality and deconfinement in phase transitions between valence bond solids
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June 2004 |
Correlated topological insulators and the fractional magnetoelectric effect
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May 2011 |
Symmetry protected topological orders and the group cohomology of their symmetry group
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April 2013 |
Topological phases with generalized global symmetries
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April 2016 |
Experimental observation of Weyl points
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journal
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July 2015 |
Edge-state inner products and real-space entanglement spectrum of trial quantum Hall states
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December 2012 |
Discrete spin structures and commuting projector models for two-dimensional fermionic symmetry-protected topological phases
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September 2016 |
Bulk-edge correspondence in entanglement spectra
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journal
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November 2011 |
Effect of interactions on two-dimensional fermionic symmetry-protected topological phases with Z 2 symmetry
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journal
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May 2014 |
Entanglement in many-body systems
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journal
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May 2008 |
Experimental Discovery of Weyl Semimetal TaAs
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July 2015 |
Density matrix formulation for quantum renormalization groups
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journal
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November 1992 |
Random antiferromagnetic quantum spin chains
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journal
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August 1994 |
O(3) Nonlinear σ Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions
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August 1988 |
Complete classification of one-dimensional gapped quantum phases in interacting spin systems
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journal
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December 2011 |
Time-Reversal Symmetric U ( 1 ) Quantum Spin Liquids
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journal
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March 2016 |
Topological phases of fermions in one dimension
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journal
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February 2011 |
Local Magnetization in Critical Ising Model with Boundary Magnetic Field
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journal
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August 1994 |
Topological phases of one-dimensional fermions: An entanglement point of view
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journal
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February 2011 |
Nonabelions in the fractional quantum hall effect
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August 1991 |
Area laws in a many-body localized state and its implications for topological order
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journal
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September 2013 |
Boundary conditions, fusion rules and the Verlinde formula
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journal
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October 1989 |
Topological paramagnetism in frustrated spin-1 Mott insulators
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journal
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May 2015 |
Colloquium : Area laws for the entanglement entropy
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journal
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February 2010 |
Majorana zero modes in one-dimensional quantum wires without long-ranged superconducting order
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journal
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November 2011 |
Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases
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journal
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April 2013 |
Isotropic to anisotropic transition in a fractional quantum Hall state
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journal
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August 2010 |
Symmetry-protected topological phases from decorated domain walls
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journal
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March 2014 |
Dynamical stability of the quantum Lifshitz theory in 2+1 dimensions
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journal
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February 2013 |
Criticality in self-dual sine-Gordon models
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journal
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September 2002 |
Quantum Spin Hall Effect in Graphene
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journal
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November 2005 |
Topology and criticality in the resonating Affleck-Kennedy-Lieb-Tasaki loop spin liquid states
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journal
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May 2014 |
Phase diagrams of lattice gauge theories with Higgs fields
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journal
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June 1979 |
Relationship between symmetry protected topological phases and boundary conformal field theories via the entanglement spectrum
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journal
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July 2017 |
Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations
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journal
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December 2011 |
Construction of a paired wave function for spinless electrons at filling fraction ν = 2 ∕ 5
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journal
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February 2007 |
Topological Insulators in Three Dimensions
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journal
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March 2007 |
Superconductivity and the Quantum Hard-Core Dimer Gas
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journal
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November 1988 |
Random transverse field Ising spin chains
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journal
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July 1992 |
Experimental evidence for the Haldane gap in a spin-1 nearly isotropic, antiferromagnetic chain
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Symmetry Protection of Critical Phases and a Global Anomaly in 1 + 1 Dimensions
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journal
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January 2017 |
Stability of zero modes in parafermion chains
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journal
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October 2014 |
Topological invariants of time-reversal-invariant band structures
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journal
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March 2007 |
Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to Z 2 spin liquids
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journal
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April 2016 |
Hilbert-Glass Transition: New Universality of Temperature-Tuned Many-Body Dynamical Quantum Criticality
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journal
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March 2014 |
Gapless symmetry-protected topological phase of fermions in one dimension
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journal
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June 2015 |
Shannon and entanglement entropies of one- and two-dimensional critical wave functions
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journal
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November 2009 |
Classification and description of bosonic symmetry protected topological phases with semiclassical nonlinear sigma models
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journal
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April 2015 |
Symmetry protection of topological phases in one-dimensional quantum spin systems
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journal
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February 2012 |
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
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journal
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May 2011 |
Fully packed loop model on the honeycomb lattice
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journal
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February 1994 |
Gapless topological superconductors: Model Hamiltonian and realization
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journal
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July 2015 |
Parafermionic edge zero modes in Z n -invariant spin chains
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journal
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November 2012 |
Localization-protected quantum order
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journal
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July 2013 |
Quantum phase transitions between a class of symmetry protected topological states
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journal
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July 2015 |
Critical behaviour of the fully packed loop model on the square lattice
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journal
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August 1996 |
Entanglement entropy and conformal field theory
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journal
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December 2009 |
Edge magnetic field in the xxz spin- chain
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journal
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March 1998 |
String order in dipole-blockaded quantum liquids
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journal
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September 2014 |
Mott physics and band topology in materials with strong spin–orbit interaction
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journal
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March 2010 |
Quasi-topological phases of matter and topological protection
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journal
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May 2013 |
Quantum spin liquids: a review
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journal
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November 2016 |
Quantum Spin Hall Insulator State in HgTe Quantum Wells
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journal
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November 2007 |
Quantum Criticality of Hot Random Spin Chains
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journal
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May 2015 |
Protected boundary states in gapless topological phases
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journal
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June 2013 |
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
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journal
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December 2006 |
Dynamical Quantum Phase Transitions in Random Spin Chains
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journal
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May 2014 |
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
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journal
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July 2008 |
Hidden order and flux attachment in symmetry-protected topological phases: A Laughlin-like approach
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journal
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May 2015 |
Entanglement Entropy of 2D Conformal Quantum Critical Points: Hearing the Shape of a Quantum Drum
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journal
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August 2006 |
SU ( 2 ) 1 chiral edge modes of a critical spin liquid
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journal
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May 2016 |
Localization and topology protected quantum coherence at the edge of hot matter
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journal
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July 2015 |
Detecting Topological Order in a Ground State Wave Function
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journal
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March 2006 |
A topological Dirac insulator in a quantum spin Hall phase
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journal
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April 2008 |
Topological crystalline insulator states in Pb1−xSnxSe
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journal
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September 2012 |
Classification of Interacting Electronic Topological Insulators in Three Dimensions
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journal
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February 2014 |
Topological Entanglement Entropy
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journal
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March 2006 |
Classification and analysis of two-dimensional Abelian fractional topological insulators
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journal
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September 2012 |
Theory of the half-filled Landau level
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March 1993 |
Periodic table for topological insulators and superconductors
- Kitaev, Alexei; Lebedev, Vladimir; Feigel’man, Mikhail
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ADVANCES IN THEORETICAL PHYSICS: Landau Memorial Conference, AIP Conference Proceedings
https://doi.org/10.1063/1.3149495
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conference
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January 2009 |
Coexisting Edge States and Gapless Bulk in Topological States of Matter
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journal
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March 2015 |
Topological phases and the quantum spin Hall effect in three dimensions
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journal
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May 2009 |
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
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journal
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September 2012 |
Emergent particle-hole symmetry in the half-filled Landau level
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journal
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August 2016 |
Particle-hole symmetry and the composite Fermi liquid
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journal
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October 2015 |
Symmetry-protected topological orders for interacting fermions: Fermionic topological nonlinear σ models and a special group supercohomology theory
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journal
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September 2014 |
Stacked topological insulator built from bismuth-based graphene sheet analogues
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journal
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March 2013 |
Symmetry-Protected Topological Orders in Interacting Bosonic Systems
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journal
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December 2012 |
Hidden symmetry breaking and the Haldane phase inS=1 quantum spin chains
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journal
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July 1992 |
The density-matrix renormalization group in the age of matrix product states
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journal
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January 2011 |
Vertex Operators in the Fractional Quantum hall Effect
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journal
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February 1991 |
Fractional Topological Insulators in Three Dimensions
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journal
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December 2010 |
Pyrochlore photons: The U ( 1 ) spin liquid in a S = 1 2 three-dimensional frustrated magnet
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journal
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February 2004 |
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
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journal
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October 2009 |
Anomalies and entanglement renormalization
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journal
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September 2017 |
Topological order and conformal quantum critical points
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journal
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April 2004 |
Wave Function and Strange Correlator of Short-Range Entangled States
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journal
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June 2014 |
Conformal invariance and surface critical behavior
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journal
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November 1984 |
Colloquium: Topological insulators
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journal
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November 2010 |
Operator spectrum and exact exponents of the fully packed loop model
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journal
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October 1996 |
Unconventional Surface Critical Behavior Induced by a Quantum Phase Transition from the Two-Dimensional Affleck-Kennedy-Lieb-Tasaki Phase to a Néel-Ordered Phase
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journal
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February 2017 |
Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
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journal
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June 2016 |
Discovery of a Weyl fermion semimetal and topological Fermi arcs
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journal
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July 2015 |
Classification of topological insulators and superconductors in three spatial dimensions
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journal
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November 2008 |
Stripe melting and a transition between weak and strong symmetry protected topological phases
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journal
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May 2016 |
Non-Abelian anyons and topological quantum computation
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journal
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September 2008 |
Symmetric Z 2 spin liquids and their neighboring phases on triangular lattice
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journal
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April 2016 |
Braiding statistics approach to symmetry-protected topological phases
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journal
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September 2012 |
Wave functions of symmetry-protected topological phases from conformal field theories
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journal
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March 2016 |
Statistics of Two-Dimensional Lattices with Four Components
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journal
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September 1943 |
Effects of interactions on the topological classification of free fermion systems
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journal
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April 2010 |
Gapless fermions and quantum order
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journal
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December 2002 |
Ising anyons in frustration-free Majorana-dimer models
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journal
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September 2016 |
Quantum Physics in One Dimension
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book
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December 2003 |
Antiferromagnetism. The Triangular Ising Net
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journal
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June 1973 |
String order in dipole-blockaded quantum liquids
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other
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January 2014 |
Non-Abelian Anyons and Topological Quantum Computation
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text
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January 2007 |
Classification of topological insulators and superconductors in three spatial dimensions
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text
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January 2008 |
Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
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text
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January 2009 |
Shannon and entanglement entropies of one- and two-dimensional critical wave functions
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text
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January 2009 |
Symmetry protection of topological order in one-dimensional quantum spin systems
|
text
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January 2009 |
An Isotropic to Anisotropic Transition in a Fractional Quantum Hall State
|
text
|
January 2010 |
Correlated Topological Insulators and the Fractional Magnetoelectric Effect
|
text
|
January 2010 |
The density-matrix renormalization group in the age of matrix product states
|
text
|
January 2010 |
A number conserving theory for topologically protected degeneracy in one-dimensional fermions
|
text
|
January 2011 |
Symmetry protected topological orders and the group cohomology of their symmetry group
|
text
|
January 2011 |
Dynamical stability of the quantum Lifshitz theory in 2+1 Dimensions
|
text
|
January 2012 |
Parafermionic edge zero modes in Z_n-invariant spin chains
|
text
|
January 2012 |
Quantized topological terms in weak-coupling gauge theories with symmetry and their connection to symmetry enriched topological phases
|
text
|
January 2012 |
Symmetry protected topological phases from decorated domain walls
|
text
|
January 2013 |
Area laws in a many-body localized state and its implications for topological order
|
text
|
January 2013 |
The Hilbert-glass transition: new universality of temperature-tuned many-body dynamical quantum criticality
|
text
|
January 2013 |
Localization and topology protected quantum coherence at the edge of 'hot' matter
|
preprint
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January 2013 |
Wave Function and Strange Correlator of Short Range Entangled states
|
text
|
January 2013 |
Stability of zero modes in parafermion chains
|
text
|
January 2014 |
Hidden order and flux attachment in symmetry protected topological phases: a Laughlin-like approach
|
text
|
January 2014 |
Quantum criticality of hot random spin chains
|
text
|
January 2014 |
Is the Composite Fermion a Dirac Particle?
|
text
|
January 2015 |
Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
|
text
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January 2015 |
Experimental discovery of Weyl semimetal TaAs
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text
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January 2015 |
Quantum Phase Transitions Between a Class of Symmetry Protected Topological States
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text
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January 2015 |
Wavefunctions of Symmetry Protected Topological Phases from Conformal Field Theories
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text
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January 2015 |
The phase transitions between $Z_n\times Z_n$ bosonic topological phases in 1+1 D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases
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text
|
January 2017 |
Criticality in self-dual sine-Gordon models
|
text
|
January 2002 |
Topological Order and Conformal Quantum Critical Points
|
text
|
January 2003 |
Topological invariants of time-reversal-invariant band structures
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text
|
January 2006 |
Topological Insulators in Three Dimensions
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text
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January 2006 |
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
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text
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January 2006 |
Entanglement in Many-Body Systems
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text
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January 2007 |
Magnetization and dimerization profiles of open spin ladders
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journal
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May 2003 |