Exponentially localized Wannier functions in periodic zero flux magnetic fields

DOI10.1063/1.3657344zbMath1272.82036arXiv1108.5651OpenAlexW3099834468MaRDI QIDQ2851792

Max Lein, Giuseppe De Nittis

Publication date: 2 October 2013

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

Full work available at URL: https://arxiv.org/abs/1108.5651

zbMATH Keywords

Chern classBrillouin zoneBloch bundle

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Statistical mechanics of magnetic materials (82D40)

Related Items (9)

Topology vs localization in synthetic dimensions ⋮ The geometry of (non-abelian) Landau levels ⋮ Anyonic topological order in twisted equivariant differential (TED) K-theory ⋮ Equivalence of electric, magnetic, and electromagnetic Chern numbers for topological photonic crystals ⋮ Effective light dynamics in perturbed photonic crystals ⋮ Erratum: “Exponentially localized Wannier functions in periodic zero flux magnetic fields” [J. Math. Phys. 52, 112103 (2011)] ⋮ Classification of ``real Bloch-bundles: topological quantum systems of type AI ⋮ The cohomological nature of the Fu-Kane-Mele invariant ⋮ Localised module frames and Wannier bases from groupoid Morita equivalences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytische Faserungen über holomorph-vollständigen Räumen
• Existence of the exponentially localized Wannier functions
• Geometric currents in piezoelectricity
• Gauge potentials and bundles over the 4-torus
• On a generalised Fourier transform of instantons over flat tori
• Nahm's transformation for instantons
• Theory of Bloch waves
• Effective dynamics for Bloch electrons: Peierls substitution and beyond
• Perturbation theory for linear operators.
• Triviality of Bloch and Bloch-Dirac bundles
• Some remarks on Chern classes
• APPLICATIONS OF MAGNETIC ΨDO TECHNIQUES TO SAPT
• Disordered topological insulators: a non-commutative geometry perspective
• Analytic Properties of Bloch Waves and Wannier Functions
• On the spectrum of periodic elliptic operators
• Characteristic Classes. (AM-76)
• Differential Topology
• Self-duality in four-dimensional Riemannian geometry
• Tight frames of exponentially decaying Wannier functions
• The Structure of Electronic Excitation Levels in Insulating Crystals

This page was built for publication: Exponentially localized Wannier functions in periodic zero flux magnetic fields