Numerical construction of Wannier functions through homotopy

D. Gontier; A. Levitt; S. Siraj-Dine

doi:10.1063/1.5085753

Numerical construction of Wannier functions through homotopy

D. Gontier
, A. Levitt
, S. Siraj-Dine

Research output: Contribution to journal › Article › peer-review

Abstract

We provide a mathematically proven, simple, and efficient algorithm to build localised Wannier functions, with the only requirement that the system has vanishing Chern numbers. Our algorithm is able to build localised Wannier for topological insulators such as the Kane-Mele model. It is based on an explicit and constructive proof of homotopies for the unitary group. We provide numerical tests to validate the methods for several systems, including the Kane-Mele model.

Original language	English
Article number	031901
Journal	Journal of Mathematical Physics
Volume	60
Issue number	3
DOIs	https://doi.org/10.1063/1.5085753
Publication status	Published - 1 Mar 2019
Externally published	Yes

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10.1063/1.5085753

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Numerical construction of Wannier functions through homotopy

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