Universal Relation among the Many-Body Chern Number, Rotation Symmetry, and Filling

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

Symmetry-based indicators of band topology in the 230 space groups

(2017) Hoi Chun Po et al.   Nature Communications

Topological Classification of Crystalline Insulators through Band Structure Combinatorics

(2017) Jorrit Kruthoff et al.   Physical Review X

Hourglass fermions

(2016) Zhijun Wang et al.   NATURE

Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals

(2015) Haruki Watanabe et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Topological nonsymmorphic crystalline insulators

(2014) Chao-Xing Liu et al.   PHYSICAL REVIEW B

Topology of crystalline insulators and superconductors

(2014) Ken Shiozaki et al.   PHYSICAL REVIEW B

Spin-Orbit-Free Topological Insulators without Time-Reversal Symmetry

(2014) A. Alexandradinata et al.   PHYSICAL REVIEW LETTERS

Twisted Equivariant Matter

(2013) Daniel S. Freed et al.   ANNALES HENRI POINCARE

Topological order and absence of band insulators at integer filling in non-symmorphic crystals

(2013) Siddharth A. Parameswaran et al.   Nature Physics

Topological classification with additional symmetries from Clifford algebras

(2013) Takahiro Morimoto 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

Bulk topological invariants in noninteracting point group symmetric insulators

(2012) Chen Fang et al.   PHYSICAL REVIEW B

Topological Crystalline Insulators

(2011) Liang Fu   PHYSICAL REVIEW LETTERS

Classification of topological insulators and superconductors in three spatial dimensions

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