# Topological and geometrical aspects of band theory

@article{Cayssol2021TopologicalAG, title={Topological and geometrical aspects of band theory}, author={J Cayssol and J N Fuchs}, journal={Journal of Physics: Materials}, year={2021}, volume={4} }

This paper provides a pedagogical introduction to recent developments in geometrical and topological band theory following the discovery of graphene and topological insulators. Amusingly, many of these developments have a connection to contributions in high-energy physics by Dirac. The review starts by a presentation of the Dirac magnetic monopole, goes on with the Berry phase in a two-level system and the geometrical/topological band theory for Bloch electrons in crystals. Next, specific…

## 12 Citations

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Yadong Wei, 2 Weiqi Li, Yongyuan Jiang, 3, 4, 5 and Jinluo Cheng 6, ∗ School of Physics, Harbin Institute of Technology, 92 Xidazhi Street, Nangang, Harbin, China Changchun Institute of Optics, Fine…

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The topological invariants of band insulators are usually assumed to depend only on the connectivity between orbitals and not on their intra-cell position (orbital embedding), which are a separate…

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