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- W4372272521 abstract "Unlike the well-known Mott's argument that extended and localized states should not coexist at the same energy in a generic random potential, we provide an example of a nearest-neighbor tight-binding disordered model which carries both localized and extended states without forming the mobility edge (ME). Unexpectedly, this example appears to be given by a well-studied $beta$-ensemble with independently distributed random diagonal potential and inhomogeneous kinetic hopping terms. In order to analytically tackle the problem, we locally map the above model to the 1D Anderson model with matrix-size- and position-dependent hopping and confirm the coexistence of localized and extended states, which is shown to be robust to the perturbations of both potential and kinetic terms due to the separation of the above states in space. In addition, the mapping shows that the extended states are non-ergodic and allows to analytically estimate their fractal dimensions." @default.
- W4372272521 created "2023-05-07" @default.
- W4372272521 creator A5029618691 @default.
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- W4372272521 date "2023-05-03" @default.
- W4372272521 modified "2023-09-25" @default.
- W4372272521 title "Absence of Mobility Edge in Short-range Uncorrelated Disordered Model: Coexistence of Localized and Extended States" @default.
- W4372272521 doi "https://doi.org/10.48550/arxiv.2305.02351" @default.
- W4372272521 hasPublicationYear "2023" @default.
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