The coherent potential approximation applied to a system with long-range potential

Chuck Yeung

doi:10.1016/0375-9601(86)90738-3

The coherent potential approximation applied to a system with long-range potential

Chuck Yeung

School of Science (Behrend)

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

Abstract

The coherent potential approximation (CPA) is expected to be more reliable in long-range systems than in systems with only nearest neighbor interactions. This increase in reliability is studied for a 1D binary random alloy model with interactions decaying as 1 r², for which the CPA equations can be obtained in closed form. The CPA spectral density obtained reflects the major gaps and the coarse structure of the actual spectral density, but yet it is not as reliable as the CPA for the 3D model with only nearest neighbor interactions.

Original language	English (US)
Pages (from-to)	192-196
Number of pages	5
Journal	Physics Letters A
Volume	117
Issue number	4
DOIs	https://doi.org/10.1016/0375-9601(86)90738-3
State	Published - Aug 11 1986

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/0375-9601(86)90738-3

Cite this

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title = "The coherent potential approximation applied to a system with long-range potential",

abstract = "The coherent potential approximation (CPA) is expected to be more reliable in long-range systems than in systems with only nearest neighbor interactions. This increase in reliability is studied for a 1D binary random alloy model with interactions decaying as 1 r2, for which the CPA equations can be obtained in closed form. The CPA spectral density obtained reflects the major gaps and the coarse structure of the actual spectral density, but yet it is not as reliable as the CPA for the 3D model with only nearest neighbor interactions.",

author = "Chuck Yeung",

note = "Funding Information: The author would like to thank Y. Oono for manyh elpfuld iscussionasn dg uidanceT. he author is grateful to Y.C. Chang and J. Banavar for discussions, M. Shinohara for reading the manuscripta, nd Schlumberger-DoRlle searchf or its hospitalityT. his work is supportedi,n part, by NSF grant DMR-83-16982th rought heUniversity of Illinois MaterialsR esearchL aboratory. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1986",

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day = "11",

doi = "10.1016/0375-9601(86)90738-3",

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AU - Yeung, Chuck

N1 - Funding Information: The author would like to thank Y. Oono for manyh elpfuld iscussionasn dg uidanceT. he author is grateful to Y.C. Chang and J. Banavar for discussions, M. Shinohara for reading the manuscripta, nd Schlumberger-DoRlle searchf or its hospitalityT. his work is supportedi,n part, by NSF grant DMR-83-16982th rought heUniversity of Illinois MaterialsR esearchL aboratory. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1986/8/11

Y1 - 1986/8/11

N2 - The coherent potential approximation (CPA) is expected to be more reliable in long-range systems than in systems with only nearest neighbor interactions. This increase in reliability is studied for a 1D binary random alloy model with interactions decaying as 1 r2, for which the CPA equations can be obtained in closed form. The CPA spectral density obtained reflects the major gaps and the coarse structure of the actual spectral density, but yet it is not as reliable as the CPA for the 3D model with only nearest neighbor interactions.

AB - The coherent potential approximation (CPA) is expected to be more reliable in long-range systems than in systems with only nearest neighbor interactions. This increase in reliability is studied for a 1D binary random alloy model with interactions decaying as 1 r2, for which the CPA equations can be obtained in closed form. The CPA spectral density obtained reflects the major gaps and the coarse structure of the actual spectral density, but yet it is not as reliable as the CPA for the 3D model with only nearest neighbor interactions.

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The coherent potential approximation applied to a system with long-range potential

Abstract

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