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Symmetry indicators and anomalous surface states of topological crystalline insulators
Eslam Khalaf, Hoi Chun Po, Ashvin Vishwanath +1
The rich variety of crystalline symmetries in solids leads to a plethora of topological crystalline insulators (TCIs) featuring distinct physical properties, which are conventional…
Universal Relation among Many-Body Chern Number, Rotation Symmetry, and Filling
Akishi Matsugatani, Yuri Ishiguro, Ken Shiozaki +1
Understanding the interplay between the topological nature and the symmetry property of interacting systems has been a central matter of condensed matter physics in recent years. I…
Fragile Topology and Wannier Obstructions
Hoi Chun Po, Haruki Watanabe, Ashvin Vishwanath
Topological phases, such as Chern insulators, are defined in terms of additive indices that are stable against the addition of trivial degrees of freedom. Such topology presents an…
Structure and Topology of Band Structures in the 1651 Magnetic Space Groups
Haruki Watanabe, Hoi Chun Po, Ashvin Vishwanath
The properties of electrons in magnetically ordered crystals are of interest both from the viewpoint of realizing novel topological phases, such as magnetic Weyl semimetals, and fr…
Lattice Homotopy Constraints on Phases of Quantum Magnets
Hoi Chun Po, Haruki Watanabe, Chao-Ming Jian +1
The Lieb-Schultz-Mattis (LSM) theorem and its extensions forbid trivial phases from arising in certain quantum magnets. Constraining infrared behavior with the ultraviolet data enc…
Symmetry-based Indicators of Band Topology in the 230 Space Groups
Hoi Chun Po, Ashvin Vishwanath, Haruki Watanabe
The interplay between symmetry and topology leads to a rich variety of electronic topological phases, protecting states such as the topological insulators and Dirac semimetals. Pre…