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

School of Science (Behrend)

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

29 Scopus citations

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	Europhysics Letters
Volume	4
Issue number	9
DOIs	https://doi.org/10.1209/0295-5075/4/9/018
State	Published - Nov 1 1987

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1209/0295-5075/4/9/018

Cite this

@article{8efe49855203426d871c31d01b08c107,

title = "A conjecture on nonlocal random tight-binding models",

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].",

author = "C. Yeung and Y. Oono",

year = "1987",

month = nov,

day = "1",

doi = "10.1209/0295-5075/4/9/018",

language = "English (US)",

volume = "4",

pages = "1061--1065",

journal = "Europhysics Letters",

issn = "0295-5075",

number = "9",

}

TY - JOUR

T1 - A conjecture on nonlocal random tight-binding models

AU - Yeung, C.

AU - Oono, Y.

PY - 1987/11/1

Y1 - 1987/11/1

N2 - 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].

AB - 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].

UR - https://www.scopus.com/pages/publications/84931536772

UR - https://www.scopus.com/pages/publications/84931536772#tab=citedBy

U2 - 10.1209/0295-5075/4/9/018

DO - 10.1209/0295-5075/4/9/018

M3 - Article

AN - SCOPUS:84931536772

SN - 0295-5075

VL - 4

SP - 1061

EP - 1065

JO - Europhysics Letters

JF - Europhysics Letters

IS - 9

ER -

A conjecture on nonlocal random tight-binding models

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this