Quantitative mappings between symmetry and topology in solids

Topological quantum chemistry

(2017) Barry Bradlyn et al.   NATURE

(d−2) -Dimensional Edge States of Rotation Symmetry Protected Topological States

(2017) Zhida Song et al.   PHYSICAL REVIEW LETTERS

Experimental evidence of hourglass fermion in the candidate nonsymmorphic topological insulator KHgSb

(2017) Junzhang Ma et al.   Science Advances

Hourglass fermions

(2016) Zhijun Wang et al.   NATURE

Theory of interacting topological crystalline insulators

(2015) Hiroki Isobe et al.   PHYSICAL REVIEW B

Topology of crystalline insulators and superconductors

(2014) Ken Shiozaki et al.   PHYSICAL REVIEW B

Quantum spin Hall effect in two-dimensional transition metal dichalcogenides

(2014) X. Qian et al.   SCIENCE

Spin-filtered edge states with an electrically tunable gap in a two-dimensional topological crystalline insulator

(2013) Junwei Liu et al.   NATURE MATERIALS

Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator

(2013) C.-Z. Chang et al.   SCIENCE

Topological crystalline insulator states in Pb1−xSn x Se

(2012) P. Dziawa et al.   NATURE MATERIALS

Experimental realization of a topological crystalline insulator in SnTe

(2012) Y. Tanaka et al.   Nature Physics

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

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

Bulk topological invariants in noninteracting point group symmetric insulators

(2012) Chen Fang et al.   PHYSICAL REVIEW B

Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors

(2012) Shinsei Ryu et al.   PHYSICAL REVIEW B

Symmetry-Protected Topological Orders in Interacting Bosonic Systems

(2012) X. Chen et al.   SCIENCE

Topological crystalline insulators in the SnTe material class

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

Inversion-symmetric topological insulators

(2011) Taylor L. Hughes et al.   PHYSICAL REVIEW B

Topological Crystalline Insulators

(2011) Liang Fu   PHYSICAL REVIEW LETTERS

Entanglement and inversion symmetry in topological insulators

(2010) Ari M. Turner et al.   PHYSICAL REVIEW B

A tunable topological insulator in the spin helical Dirac transport regime

(2009) D. Hsieh et al.   NATURE

Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface

(2009) Haijun Zhang et al.   Nature Physics

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

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

Experimental Realization of a Three-Dimensional Topological Insulator, Bi2Te3

(2009) Y. L. Chen et al.   SCIENCE

Surface states and topological invariants in three-dimensional topological insulators: Application toBi1−xSbx

(2008) Jeffrey C. Y. Teo et al.   PHYSICAL REVIEW B

Classification of topological insulators and superconductors in three spatial dimensions

(2008) Andreas P. Schnyder et al.   PHYSICAL REVIEW B