Construction of bosonic symmetry-protected-trivial states and their topological invariants viaG×SO(∞)nonlinearσmodels

Bosonic short-range entangled states beyond group cohomology classification

(2015) Cenke Xu et al.   PHYSICAL REVIEW B

Classification and description of bosonic symmetry protected topological phases with semiclassical nonlinear sigma models

(2015) Zhen Bi et al.   PHYSICAL REVIEW B

Classification of two-dimensional fermionic and bosonic topological orders

(2015) Zheng-Cheng Gu et al.   PHYSICAL REVIEW B

Field-Theory Representation of Gauge-Gravity Symmetry-Protected Topological Invariants, Group Cohomology, and Beyond

(2015) Juven C. Wang et al.   PHYSICAL REVIEW LETTERS

Microscopic Realization of Two-Dimensional Bosonic Topological Insulators

(2015) Zheng-Xin Liu et al.   PHYSICAL REVIEW LETTERS

Line defects in three-dimensional symmetry-protected topological phases

(2014) Zhen Bi et al.   PHYSICAL REVIEW B

Lattice model for fermionic toric code

(2014) Zheng-Cheng Gu et al.   PHYSICAL REVIEW B

Universal symmetry-protected topological invariants for symmetry-protected topological states

(2014) Ling-Yan Hung et al.   PHYSICAL REVIEW B

Symmetry-protected topological invariants of symmetry-protected topological phases of interacting bosons and fermions

(2014) Xiao-Gang Wen   PHYSICAL REVIEW B

U(1)×U(1)symmetry-protected topological order in Gutzwiller wave functions

(2014) Zheng-Xin Liu et al.   PHYSICAL REVIEW B

Constructing symmetric topological phases of bosons in three dimensions via fermionic projective construction and dyon condensation

(2014) Peng Ye et al.   PHYSICAL REVIEW B

Symmetry-protected topological orders for interacting fermions: Fermionic topological nonlinearσmodels and a special group supercohomology theory

(2014) Zheng-Cheng Gu et al.   PHYSICAL REVIEW B

Symmetry-protected topological states of interacting fermions and bosons

(2014) Yi-Zhuang You et al.   PHYSICAL REVIEW B

Topological quasiparticles and the holographic bulk-edge relation in(2+1)-dimensional string-net models

(2014) Tian Lan et al.   PHYSICAL REVIEW B

Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology

(2014) Anton Kapustin et al.   PHYSICAL REVIEW LETTERS

Wave functions of bosonic symmetry protected topological phases

(2013) Cenke Xu et al.   PHYSICAL REVIEW B

Two-dimensional symmetry-protected topological phases withPSU(N)and time-reversal symmetry

(2013) Jeremy Oon et al.   PHYSICAL REVIEW B

Three-dimensional symmetry-protected topological phase close to antiferromagnetic Néel order

(2013) Cenke Xu   PHYSICAL REVIEW B

Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases

(2013) Ling-Yan Hung et al.   PHYSICAL REVIEW B

Symmetry-protected topological phases and orbifolds: Generalized Laughlin's argument

(2013) Olabode Mayodele Sule et al.   PHYSICAL REVIEW B

Projective construction of two-dimensional symmetry-protected topological phases with U(1), SO(3), or SU(2) symmetries

(2013) Peng Ye et al.   PHYSICAL REVIEW B

Boson topological insulators: A window into highly entangled quantum phases

(2013) Chong Wang et al.   PHYSICAL REVIEW B

Symmetry protected topological orders and the group cohomology of their symmetry group

(2013) Xie Chen et al.   PHYSICAL REVIEW B

Short-range entangled bosonic states with chiral edge modes andTduality of heterotic strings

(2013) Eugeniu Plamadeala et al.   PHYSICAL REVIEW B

Bosonic topological insulator in three dimensions and the statistical Witten effect

(2013) Max A. Metlitski et al.   PHYSICAL REVIEW B

Twisted quantum double model of topological phases in two dimensions

(2013) Yuting Hu et al.   PHYSICAL REVIEW B

Classifying gauge anomalies through symmetry-protected trivial orders and classifying gravitational anomalies through topological orders

(2013) Xiao-Gang Wen   PHYSICAL REVIEW D

Torsional anomalies, Hall viscosity, and bulk-boundary correspondence in topological states

(2013) Taylor L. Hughes et al.   PHYSICAL REVIEW D

Symmetry-Protected Quantum Spin Hall Phases in Two Dimensions

(2013) Zheng-Xin Liu et al.   PHYSICAL REVIEW LETTERS

Integer Quantum Hall Effect for Bosons

(2013) T. Senthil et al.   PHYSICAL REVIEW LETTERS

Physics of Three-Dimensional Bosonic Topological Insulators: Surface-Deconfined Criticality and Quantized Magnetoelectric Effect

(2013) Ashvin Vishwanath et al.   Physical Review X

Models for Gapped Boundaries and Domain Walls

(2012) Alexei Kitaev et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Interacting topological phases and modular invariance

(2012) Shinsei Ryu et al.   PHYSICAL REVIEW B

Chiral symmetry on the edge of two-dimensional symmetry protected topological phases

(2012) Xie Chen et al.   PHYSICAL REVIEW B

Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach

(2012) Yuan-Ming Lu et al.   PHYSICAL REVIEW B

Symmetry protection of topological phases in one-dimensional quantum spin systems

(2012) Frank Pollmann et al.   PHYSICAL REVIEW B

Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors

(2012) Shinsei Ryu et al.   PHYSICAL REVIEW B

Braiding statistics approach to symmetry-protected topological phases

(2012) Michael Levin et al.   PHYSICAL REVIEW B

Symmetry-Protected Topological Orders in Interacting Bosonic Systems

(2012) X. Chen et al.   SCIENCE

Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations

(2011) Xie Chen et al.   PHYSICAL REVIEW B

Classifying quantum phases using matrix product states and projected entangled pair states

(2011) Norbert Schuch et al.   PHYSICAL REVIEW B

Classification of gapped symmetric phases in one-dimensional spin systems

(2011) Xie Chen et al.   PHYSICAL REVIEW B

Complete classification of one-dimensional gapped quantum phases in interacting spin systems

(2011) Xie Chen et al.   PHYSICAL REVIEW B

Topological phases of one-dimensional fermions: An entanglement point of view

(2011) Ari M. Turner et al.   PHYSICAL REVIEW B

Topological phases of fermions in one dimension

(2011) Lukasz Fidkowski et al.   PHYSICAL REVIEW B

Topological insulators and superconductors: tenfold way and dimensional hierarchy

(2010) Shinsei Ryu et al.   NEW JOURNAL OF PHYSICS

Effects of interactions on the topological classification of free fermion systems

(2010) Lukasz Fidkowski et al.   PHYSICAL REVIEW B

Entanglement spectrum of a topological phase in one dimension

(2010) Frank Pollmann et al.   PHYSICAL REVIEW B

Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order

(2010) Xie Chen et al.   PHYSICAL REVIEW B

From String Nets to Nonabelions

(2009) Lukasz Fidkowski et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Tensor-product representations for string-net condensed states

(2009) Zheng-Cheng Gu et al.   PHYSICAL REVIEW B

Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order

(2009) Zheng-Cheng Gu et al.   PHYSICAL REVIEW B

Explicit tensor network representation for the ground states of string-net models

(2009) Oliver Buerschaper et al.   PHYSICAL REVIEW B

Classification of symmetric polynomials of infinite variables: Construction of Abelian and non-Abelian quantum Hall states

(2008) Xiao-Gang Wen et al.   PHYSICAL REVIEW B

Topological properties of Abelian and non-Abelian quantum Hall states classified using patterns of zeros

(2008) Xiao-Gang Wen et al.   PHYSICAL REVIEW B