Numerical construction of Wannier functions through homotopy

DOI10.1063/1.5085753zbMath1417.82030arXiv1812.06746OpenAlexW2904151077MaRDI QIDQ5379348

David Gontier, Antoine Levitt, Sami Siraj-Dine

Publication date: 28 May 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06746

zbMATH Keywords

Wannier functionsChern numbersKane-Mele model

Mathematics Subject Classification ID

Related Items (4)

Symmetric Fermi projections and Kitaev’s table: Topological phases of matter in low dimensions ⋮ Topology vs localization in synthetic dimensions ⋮ Localised Wannier functions in metallic systems ⋮ Parseval frames of exponentially localized magnetic Wannier functions

Uses Software

• Wannier90
• Quantum Espresso
• VESTA 3

Cites Work

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• \(\mathbb Z_2\) invariants of topological insulators as geometric obstructions
• An updated version of wannier90: a tool for obtaining maximally-localised Wannier functions
• Bloch bundles, Marzari-Vanderbilt functional and maximally localized Wannier functions
• On the construction of composite Wannier functions
• Existence of the exponentially localized Wannier functions
• SCDM-k: localized orbitals for solids via selected columns of the density matrix
• On the construction of Wannier functions in topological insulators: the 3D case
• Triviality of Bloch and Bloch-Dirac bundles
• Wannier functions and ℤ2 invariants in time-reversal symmetric topological insulators
• Construction of real-valued localized composite Wannier functions for insulators

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