Gauging Spatial Symmetries and the Classification of Topological Crystalline Phases

Topological Phases Protected by Point Group Symmetry

(2017) Hao Song et al.   Physical Review X

State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter

(2017) Lakshya Bhardwaj et al.   JOURNAL OF HIGH ENERGY PHYSICS

Spin TQFTs and fermionic phases of matter

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

Phase Structure of Driven Quantum Systems

(2016) Vedika Khemani et al.   PHYSICAL REVIEW LETTERS

Classification of topological quantum matter with symmetries

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

Flux-Fusion Anomaly Test and Bosonic Topological Crystalline Insulators

(2016) Michael Hermele et al.   Physical Review X

Translational Symmetry and Microscopic Constraints on Symmetry-Enriched Topological Phases: A View from the Surface

(2016) Meng Cheng et al.   Physical Review X

Classification of Interacting Topological Floquet Phases in One Dimension

(2016) Andrew C. Potter et al.   Physical Review X

Chiral Floquet Phases of Many-Body Localized Bosons

(2016) Hoi Chun Po et al.   Physical Review X

Topological phases protected by reflection symmetry and cross-cap states

(2015) Gil Young Cho et al.   PHYSICAL REVIEW B

Bosonic symmetry-protected topological phases with reflection symmetry

(2015) Tsuneya Yoshida 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

Theory of interacting topological crystalline insulators

(2015) Hiroki Isobe et al.   PHYSICAL REVIEW B

Correlation effects on topological crystalline insulators

(2015) Tsuneya Yoshida et al.   PHYSICAL REVIEW B

Anomalous Crystal Symmetry Fractionalization on the Surface of Topological Crystalline Insulators

(2015) Yang Qi et al.   PHYSICAL REVIEW LETTERS

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

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

Towards Gauging Time-Reversal Symmetry: A Tensor Network Approach

(2015) Xie Chen et al.   Physical Review X

Framed Wilson operators, fermionic strings, and gravitational anomaly in 4d

(2015) Ryan Thorngren   JOURNAL OF HIGH ENERGY PHYSICS

Fermionic symmetry protected topological phases and cobordisms

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

Topological field theory on a lattice, discrete theta-angles and confinement

(2014) Anton Kapustin et al.   Advances in Theoretical and Mathematical Physics

Ground-state degeneracy for Abelian anyons in the presence of gapped boundaries

(2014) Anton Kapustin   PHYSICAL REVIEW B

CPT theorem and classification of topological insulators and superconductors

(2014) Chang-Tse Hsieh et al.   PHYSICAL REVIEW B

Exactly soluble model of a three-dimensional symmetry-protected topological phase of bosons with surface topological order

(2014) F. J. Burnell et al.   PHYSICAL REVIEW B

Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge

(2014) Dominic V. Else 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

Topology of crystalline insulators and superconductors

(2014) Ken Shiozaki et al.   PHYSICAL REVIEW B

Classification of Interacting Electronic Topological Insulators in Three Dimensions

(2014) C. Wang et al.   SCIENCE

Principal $$\infty $$ ∞ -bundles: general theory

(2014) Thomas Nikolaus et al.  

Coupling a QFT to a TQFT and duality

(2014) Anton Kapustin et al.   JOURNAL OF HIGH ENERGY PHYSICS

Bicategories for Boundary Conditions and for Surface Defects in 3-d TFT

(2013) Jürgen Fuchs et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Entanglement spectrum classification ofCn-invariant noninteracting topological insulators in two dimensions

(2013) Chen Fang et al.   PHYSICAL REVIEW B

Topological classification with additional symmetries from Clifford algebras

(2013) Takahiro Morimoto et al.   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 orders and the group cohomology of their symmetry group

(2013) Xie Chen et al.   PHYSICAL REVIEW B

Exotic topological order in fractal spin liquids

(2013) Beni Yoshida   PHYSICAL REVIEW B

Classification of symmetry enriched topological phases with exactly solvable models

(2013) Andrej Mesaros et al.   PHYSICAL REVIEW B

Classification of topological insulators and superconductors in the presence of reflection symmetry

(2013) Ching-Kai Chiu et al.   PHYSICAL REVIEW B

Classifying fractionalization: Symmetry classification of gappedZ2spin liquids in two dimensions

(2013) Andrew M. Essin et al.   PHYSICAL REVIEW B

Topological Mirror Superconductivity

(2013) Fan Zhang et al.   PHYSICAL REVIEW LETTERS

Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure

(2013) B. Hunt et al.   SCIENCE

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

(2013) Ashvin Vishwanath et al.   Physical Review X

Reading between the lines of four-dimensional gauge theories

(2013) Ofer Aharony et al.   JOURNAL OF HIGH ENERGY PHYSICS

Topological crystalline insulator states in Pb1−xSn x Se

(2012) P. Dziawa et al.   NATURE MATERIALS

The space group classification of topological band-insulators

(2012) Robert-Jan Slager et al.   Nature Physics

Experimental realization of a topological crystalline insulator in SnTe

(2012) Y. Tanaka et al.   Nature Physics

Bulk topological invariants in noninteracting point group symmetric insulators

(2012) Chen Fang et al.   PHYSICAL REVIEW B

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

(2012) Frank Pollmann et al.   PHYSICAL REVIEW B

Braiding statistics approach to symmetry-protected topological phases

(2012) Michael Levin et al.   PHYSICAL REVIEW B

Topological crystalline insulators in the SnTe material class

(2012) Timothy H. Hsieh et al.   Nature Communications

Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSn x Te

(2012) Su-Yang Xu et al.   Nature Communications

Local stabilizer codes in three dimensions without string logical operators

(2011) Jeongwan Haah   PHYSICAL REVIEW A

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 fermions in one dimension

(2011) Lukasz Fidkowski et al.   PHYSICAL REVIEW B

Topological Crystalline Insulators

(2011) Liang Fu   PHYSICAL REVIEW LETTERS

Topological boundary conditions in abelian Chern–Simons theory

(2010) Anton Kapustin et al.   NUCLEAR PHYSICS B

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

Fractional Topological Insulators in Three Dimensions

(2010) Joseph Maciejko et al.   PHYSICAL REVIEW LETTERS

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

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