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.
Ultra-generalized Wannier bases: Are they relevant to topological transport? / Moscolari, Massimo; Panati, Gianluca. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 64:7(2023). [10.1063/5.0137320]
Ultra-generalized Wannier bases: Are they relevant to topological transport?
Massimo Moscolari;Gianluca Panati
2023
Abstract
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.| File | Dimensione | Formato | |
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