On the construction of Wannier functions in topological insulators: the 3D case

DOI10.1007/s00023-017-0621-yzbMath1386.82068arXiv1703.06308OpenAlexW2963536575MaRDI QIDQ1689427

Horia D. Cornean, Domenico Monaco

Publication date: 12 January 2018

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06308

zbMATH Keywords

Bloch framesFu-Kane-Mele invariantsWanier functions

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20)

Related Items (8)

Topology vs localization in synthetic dimensions ⋮ Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators ⋮ Numerical construction of Wannier functions through homotopy ⋮ Localised Wannier functions in metallic systems ⋮ Parseval frames of exponentially localized magnetic Wannier functions ⋮ Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field ⋮ On Parseval frames of exponentially decaying composite Wannier functions ⋮ Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\mathbb Z_2\) invariants of topological insulators as geometric obstructions
• Bulk-edge correspondence for two-dimensional topological insulators
• On the construction of composite Wannier functions
• Symmetry and localization in periodic crystals: triviality of Bloch bundles with a fermionic time-reversal symmetry
• Triviality of Bloch and Bloch-Dirac bundles
• Wannier functions and ℤ2 invariants in time-reversal symmetric topological insulators
• Chern and Fu–Kane–Mele Invariants as Topological Obstructions
• Tight frames of exponentially decaying Wannier functions
• Floquet theory for partial differential equations
• Construction of real-valued localized composite Wannier functions for insulators

This page was built for publication: On the construction of Wannier functions in topological insulators: the 3D case