A conjecture on nonlocal random tight-binding models

C. Yeung; Y. Oono

doi:10.1209/0295-5075/4/9/018

A conjecture on nonlocal random tight-binding models

C. Yeung, Y. Oono

Research output: Contribution to journal › Article › peer-review

Abstract

It is conjectured, with the aid of numerical studies, that the site random tight-binding model with the long-range hopping term (decaying more slowly than any exponential function) exhibits nonexponentially localized eigenstates. For example, if the hopping term decays as exp[−√x], then the eigenfunctions decay as exp[−√x].

Original language	English (US)
Pages (from-to)	1061-1065
Number of pages	5
Journal	EPL
Volume	4
Issue number	9
DOIs	https://doi.org/10.1209/0295-5075/4/9/018
State	Published - Nov 1 1987
Externally published	Yes

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General Physics and Astronomy

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10.1209/0295-5075/4/9/018

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abstract = "It is conjectured, with the aid of numerical studies, that the site random tight-binding model with the long-range hopping term (decaying more slowly than any exponential function) exhibits nonexponentially localized eigenstates. For example, if the hopping term decays as exp[−√x], then the eigenfunctions decay as exp[−√x].",

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A conjecture on nonlocal random tight-binding models

Abstract

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