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 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.
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Research Article| July 05 2023
Ultra-generalized Wannier bases: Are they relevant to topological transport?
Special Collection: Mathematical Aspects of Topological Phases
Massimo Moscolari ;
Massimo Moscolari a)
(Conceptualization, Writing – original draft, Writing – review & editing)
Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano,
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Massimo Moscolari, Gianluca Panati; Ultra-generalized Wannier bases: Are they relevant to topological transport?. J. Math. Phys. 28 July 2023; 64 (7): 071901. https://doi.org/10.1063/5.0137320
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