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• W2017672220 abstract "Energy-space localization in two-dimensional (2D) mesoscopic systems is studied. The geometry considered is that of a cylinder threaded by a linearly time-dependent magnetic flux. A formalism for a single Zener transition is described, and applied to transport in energy space when there are multiple Zener transitions. The degree of localization in energy space, measured by the appropriate participation ratio ensuremath{rho}, is evaluated as a function of the disorder in the system (W) and the driving rate ensuremath{alpha}. It is argued that, similarly to the 1D case, when ensuremath{alpha} is very large, ensuremath{rho} depends on W only, while for sufficiently small values of ensuremath{alpha}, ensuremath{rho}=ensuremath{rho}(${mathit{W}}^{2}$/ensuremath{alpha}). The degree of localization is, however, nonmonotonic in the disorder and the driving field, in clear contradistinction to the 1D results. These results can be understood qualitatively on the basis of the properties of a single Zener transition and the structure of the disorder free adiabatic spectrum." @default.
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• W2017672220 date "1992-09-15" @default.
• W2017672220 modified "2023-09-26" @default.
• W2017672220 title "Dynamics and scaling properties of localization in energy space in two-dimensional mesoscopic systems" @default.
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• W2017672220 doi "https://doi.org/10.1103/physrevb.46.7691" @default.
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