Ultra-generalized Wannier bases: Are they relevant to topological transport?

We generalize Prodan's construction of radially localized generalized Wannier bases [E. Prodan, J. Math. Phys. 56(11), 113511 (2015)] to gapped quantum systems without time-reversal symmetry, including, in particular, magnetic Schrodinger 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.

Automated summary

This article generalizes Prodan's construction of radially localized generalized Wannier bases to gapped quantum systems without time-reversal symmetry, including magnetic Schrodinger operators, and proves some basic properties of such bases. The relevance of this notion to topological transport is investigated by considering the explicitly solvable case of the Landau operator.