Parseval frames of exponentially localized magnetic Wannier functions

DOI10.1007/s00220-019-03542-0OpenAlexW3098903765WikidataQ127339927 ScholiaQ127339927MaRDI QIDQ2007754

Domenico Monaco, Massimo Moscolari, Horia D. Cornean

Publication date: 22 November 2019

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

Full work available at URL: https://arxiv.org/abs/1704.00932

zbMATH Keywords

crystalline insulatorsmagnetic Wannier functions

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Statistical mechanics of magnetic materials (82D40)

Related Items (10)

Beyond Diophantine Wannier diagrams: gap labelling for Bloch-Landau Hamiltonians ⋮ Topology vs localization in synthetic dimensions ⋮ Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators ⋮ Good Wannier bases in Hilbert modules associated to topological insulators ⋮ Localised Wannier functions in metallic systems ⋮ Středa formula for charge and spin currents ⋮ Localised module frames and Wannier bases from groupoid Morita equivalences ⋮ Symmetry and localization for magnetic Schrödinger operators: Landau levels, Gabor frames and all that ⋮ Purely linear response of the quantum Hall current to space-adiabatic perturbations ⋮ Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher

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