# Classification of topological quantum matter with symmetries

“Classification of topological quantum matter with symmetries” (2016), by Ching‐Kai Chiu et al. Physics and Astronomy research paper. Original abstract below, unchanged. A free PDF is available.

- Authors: Ching‐Kai Chiu, Jeffrey C. Y. Teo, Andreas P. Schnyder, Shinsei Ryu
- Published: August 31, 2016
- Field: Physics and Astronomy
- DOI: https://doi.org/10.1103/revmodphys.88.035005
- Free PDF: https://arxiv.org/pdf/1505.03535

## Abstract

In recent years an increasing amount of attention has been devoted to quantum materials with topological characteristics that are robust against disorder and other perturbations. In this context it was discovered that topological materials can be classified with respect to their dimension and symmetry properties. This review provides an overview of the classification schemes of both fully gapped and gapless topological materials and gives a pedagogical introduction into the field of topological band theory.

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