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The decimation method and Anderson localization

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The decimation method and Anderson localization. / Weaire, D.; Lambert, Colin.
In: Journal de Physique, Vol. 42, No. C4, 1981, p. 47-49.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Weaire, D & Lambert, C 1981, 'The decimation method and Anderson localization', Journal de Physique, vol. 42, no. C4, pp. 47-49. https://doi.org/10.1051/jphyscol:1981406

APA

Weaire, D., & Lambert, C. (1981). The decimation method and Anderson localization. Journal de Physique, 42(C4), 47-49. https://doi.org/10.1051/jphyscol:1981406

Vancouver

Weaire D, Lambert C. The decimation method and Anderson localization. Journal de Physique. 1981;42(C4):47-49. doi: 10.1051/jphyscol:1981406

Author

Weaire, D. ; Lambert, Colin. / The decimation method and Anderson localization. In: Journal de Physique. 1981 ; Vol. 42, No. C4. pp. 47-49.

Bibtex

@article{de2cf7fd1692451e82b38045f791b010,
title = "The decimation method and Anderson localization",
abstract = "We discuss the application of the decimation method to the problem of Anderson localization. In one dimension, the renormalized interactions defined in this method are found to scale towards weak coupling (indicative of localized states) for all values of the strength of (diagonal) disorder. In two dimensions, the interactions appear to scale toward weak/strong coupling for low/high disorder. However the latter results remain puzzling, in that no clear connection between the scaling behaviour and the localization length has emerged.",
author = "D. Weaire and Colin Lambert",
year = "1981",
doi = "10.1051/jphyscol:1981406",
language = "English",
volume = "42",
pages = "47--49",
journal = "Journal de Physique",
issn = "0302-0738",
publisher = "Societe Francaise De Physique",
number = "C4",

}

RIS

TY - JOUR

T1 - The decimation method and Anderson localization

AU - Weaire, D.

AU - Lambert, Colin

PY - 1981

Y1 - 1981

N2 - We discuss the application of the decimation method to the problem of Anderson localization. In one dimension, the renormalized interactions defined in this method are found to scale towards weak coupling (indicative of localized states) for all values of the strength of (diagonal) disorder. In two dimensions, the interactions appear to scale toward weak/strong coupling for low/high disorder. However the latter results remain puzzling, in that no clear connection between the scaling behaviour and the localization length has emerged.

AB - We discuss the application of the decimation method to the problem of Anderson localization. In one dimension, the renormalized interactions defined in this method are found to scale towards weak coupling (indicative of localized states) for all values of the strength of (diagonal) disorder. In two dimensions, the interactions appear to scale toward weak/strong coupling for low/high disorder. However the latter results remain puzzling, in that no clear connection between the scaling behaviour and the localization length has emerged.

U2 - 10.1051/jphyscol:1981406

DO - 10.1051/jphyscol:1981406

M3 - Journal article

VL - 42

SP - 47

EP - 49

JO - Journal de Physique

JF - Journal de Physique

SN - 0302-0738

IS - C4

ER -