Choreographed entanglement dances: Topological states of quantum matter

Gapless Spin-Liquid Ground State in theS=1/2Kagome Antiferromagnet

(2017) H. J. Liao et al.   PHYSICAL REVIEW LETTERS

Spin TQFTs and fermionic phases of matter

(2016) Davide Gaiotto et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS A

Classification of topological quantum matter with symmetries

(2016) Ching-Kai Chiu et al.   REVIEWS OF MODERN PHYSICS

Global phase diagram of competing ordered and quantum spin-liquid phases on the kagome lattice

(2015) Shou-Shu Gong et al.   PHYSICAL REVIEW B

Interacting topological insulator and emergent grand unified theory

(2015) Yi-Zhuang You et al.   PHYSICAL REVIEW B

Distinct Spin Liquids and Their Transitions in Spin-1/2XXZKagome Antiferromagnets

(2015) Yin-Chen He et al.   PHYSICAL REVIEW LETTERS

Evidence for a gapped spin-liquid ground state in a kagome Heisenberg antiferromagnet

(2015) M. Fu et al.   SCIENCE

Fermionic symmetry protected topological phases and cobordisms

(2015) Anton Kapustin et al.   JOURNAL OF HIGH ENERGY PHYSICS

A theory of 2+1D bosonic topological orders

(2015) Xiao-Gang Wen   National Science Review

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

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

Models for Gapped Boundaries and Domain Walls

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

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

Topological phases of fermions in one dimension

(2011) Lukasz Fidkowski et al.   PHYSICAL REVIEW B

Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet

(2011) S. Yan et al.   SCIENCE

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

On Classification of Modular Tensor Categories

(2009) Eric Rowell et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

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

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

Topological phases and the quantum spin Hall effect in three dimensions

(2009) Rahul Roy   PHYSICAL REVIEW B

A topological Dirac insulator in a quantum spin Hall phase

(2008) D. Hsieh et al.   NATURE

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 field theory of time-reversal invariant insulators

(2008) Xiao-Liang Qi et al.   PHYSICAL REVIEW B