RANDOM SYSTEMS WITH INHOMOGENEOUS CONCENTRATION | Zendy

Zhao-Qing Zhang | Zendy

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RANDOM SYSTEMS WITH INHOMOGENEOUS CONCENTRATION

Author(s) -

Zhao-Qing Zhang

Publication year - 1980

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.29.1193

Subject(s) - binary number , physics , limit (mathematics) , particle system , constant (computer programming) , function (biology) , order (exchange) , superlattice , modulation (music) , statistical physics , energy (signal processing) , condensed matter physics , quantum mechanics , mathematical analysis , mathematics , computer science , arithmetic , finance , evolutionary biology , acoustics , economics , biology , programming language , operating system

The methods of configurational average of ensemble on a homogeneously random binary system is extended to treat a conditionally random binary system, where the concentration of one species c(r) is not a constant but modulated in a certain way. A restricted ensemble is chosen to describe such a system, the corresponding generalized CPA equation is derived. If we separate c(r) into c and δc(r), a decomposition scheme is introduced to average the uniform part c and deviation part dc successively. For a sinusoidal modulation, the averaged single-particle Green's function and its self-energy are calculated formally to the second order in δc/c. In the virtual crystal limit, the band splitting character of a superlattice is recovered.

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