Journal of Physics C Solid State Physics, volume 5, issue 8, pages 807-820

Numerical studies of localization in disordered systems

J T EDWARDS 1
D. J. Thouless 1
Publication typeJournal Article
Publication date1972-04-27
Quartile SCImago
Quartile WOS
Impact factor
ISSN00223719
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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GOST |
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GOST Copy
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) Copy
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.
RIS |
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 -
BibTex |
Cite this
BibTex 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}
}
MLA
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.
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