Ultra-generalized Wannier bases: Are they relevant to topological transport?
arXiv:2312.02307 · doi:10.1063/5.0137320
Abstract
We generalize Prodan's construction of radially localized generalized Wannier bases [E. Prodan, On the generalized Wannier functions. J. Math. Phys. 56(11), 113511 (2015)] to gapped quantum systems without time-reversal symmetry, including in particular magnetic Schrödinger operators, and we prove some basic properties of such bases. We investigate whether this notion might be relevant to topological transport by considering the explicitly solvable case of the Landau operator.
19 pages, no figures. The text corresponds to the paper published in Journal of Mathematical Physics
References in corpus (6)
- The Faraday effect revisited: Thermodynamic limit
- Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators
- Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators
- Symmetry and localization for magnetic Schroedinger operators: Landau levels, Gabor frames and all that
- Algebraic localization implies exponential localization in non-periodic insulators
- Algebraic localization of Wannier functions implies Chern triviality in non-periodic insulators