Numerical studies of localization in disordered systems
1
Univ. Birmingham, UK
|
Publication type: Journal Article
Publication date: 1972-04-27
SJR: —
CiteScore: —
Impact factor: —
ISSN: 00223719
General Physics and Astronomy
Condensed Matter Physics
General Engineering
Abstract
The results of numerical work on the Anderson model of disordered systems are presented. The sensitivity of the eigenvalues to the choice of periodic or antiperiodic boundary conditions is used as a criterion for localization, and the theory of this criterion is discussed. For the two dimensional square lattice this criterion gives a reasonably sharp result for the onset of localization which is not in conflict with other criteria of localization, and it is found that localization occurs far more easily than Anderson's theory suggests. For the diamond lattice the onset of localization is less sharply defined, and localization occurs less easily than for the square lattice, but more easily than in Anderson's theory.
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Metrics
538
Total citations:
538
Citations from 2024:
60
(11.15%)
Cite this
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MLA
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GOST
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EDWARDS J. T., Thouless D. J. Numerical studies of localization in disordered systems // Journal of Physics C Solid State Physics. 1972. Vol. 5. No. 8. pp. 807-820.
GOST all authors (up to 50)
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EDWARDS J. T., Thouless D. J. Numerical studies of localization in disordered systems // Journal of Physics C Solid State Physics. 1972. Vol. 5. No. 8. pp. 807-820.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1088/0022-3719/5/8/007
UR - https://doi.org/10.1088/0022-3719/5/8/007
TI - Numerical studies of localization in disordered systems
T2 - Journal of Physics C Solid State Physics
AU - EDWARDS, J T
AU - Thouless, D. J.
PY - 1972
DA - 1972/04/27
PB - IOP Publishing
SP - 807-820
IS - 8
VL - 5
SN - 0022-3719
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{1972_EDWARDS,
author = {J T EDWARDS and D. J. Thouless},
title = {Numerical studies of localization in disordered systems},
journal = {Journal of Physics C Solid State Physics},
year = {1972},
volume = {5},
publisher = {IOP Publishing},
month = {apr},
url = {https://doi.org/10.1088/0022-3719/5/8/007},
number = {8},
pages = {807--820},
doi = {10.1088/0022-3719/5/8/007}
}
Cite this
MLA
Copy
EDWARDS, J. T., and D. J. Thouless. “Numerical studies of localization in disordered systems.” Journal of Physics C Solid State Physics, vol. 5, no. 8, Apr. 1972, pp. 807-820. https://doi.org/10.1088/0022-3719/5/8/007.