Localisation in impurity bands

L. Fleishman; D. L. Stein

doi:10.1088/0022-3719/12/22/022

Localisation in impurity bands

L. Fleishman, D. L. Stein

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

Abstract

The criteria for localisation in a model that is suitable for non-interacting electrons in an impurity band is investigated. It is shown that the critical density of impurities n_c is given by n_ca _H¹3/=f(W) where a_H is a measure of the range of the overlap integral between impurities, and W the diagonal disorder. The apparent discrepancy in the results of Debney and Economou and Antonio (1977) is shown to be model dependent. It is shown that an increase in W leads to an increase in n_c as expected from the results of Fritzsche (1979). The case of nearest-neighbour off-diagonal disorder is one dimension is also treated.

Original language	English (US)
Article number	022
Pages (from-to)	4817-4823
Number of pages	7
Journal	Journal of Physics C: Solid State Physics
Volume	12
Issue number	22
DOIs	https://doi.org/10.1088/0022-3719/12/22/022
State	Published - 1979

ASJC Scopus subject areas

Condensed Matter Physics
General Engineering
General Physics and Astronomy

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abstract = "The criteria for localisation in a model that is suitable for non-interacting electrons in an impurity band is investigated. It is shown that the critical density of impurities nc is given by nca H13/=f(W) where aH is a measure of the range of the overlap integral between impurities, and W the diagonal disorder. The apparent discrepancy in the results of Debney and Economou and Antonio (1977) is shown to be model dependent. It is shown that an increase in W leads to an increase in nc as expected from the results of Fritzsche (1979). The case of nearest-neighbour off-diagonal disorder is one dimension is also treated.",

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AB - The criteria for localisation in a model that is suitable for non-interacting electrons in an impurity band is investigated. It is shown that the critical density of impurities nc is given by nca H13/=f(W) where aH is a measure of the range of the overlap integral between impurities, and W the diagonal disorder. The apparent discrepancy in the results of Debney and Economou and Antonio (1977) is shown to be model dependent. It is shown that an increase in W leads to an increase in nc as expected from the results of Fritzsche (1979). The case of nearest-neighbour off-diagonal disorder is one dimension is also treated.

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Localisation in impurity bands

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