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

Université Paris Dauphine
École des ponts

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	031901
journal	Journal of Mathematical Physics
Volume	60
Numéro de publication	3
Les DOIs	https://doi.org/10.1063/1.5085753
état	Publié - 1 mars 2019
Modification externe	Oui

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10.1063/1.5085753

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Numerical construction of Wannier functions through homotopy

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