TY - JOUR
T1 - The coherent potential approximation applied to a system with long-range potential
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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U2 - 10.1016/0375-9601(86)90738-3
DO - 10.1016/0375-9601(86)90738-3
M3 - Article
AN - SCOPUS:46149129332
SN - 0375-9601
VL - 117
SP - 192
EP - 196
JO - Physics Letters A
JF - Physics Letters A
IS - 4
ER -