Numerical and analytic methods for the study of disordered alloy surfaces

X. Zhang, M. Hwang, A. Gonis, Arthur J Freeman

Research output: Contribution to journalArticle

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Abstract

We report exact, numerically simulated, and analytic calculations of the density of states (DOS) at or near the surface of semi-infinite substitutionally disordered alloys in the tight-binding approximation to the Hamiltonian. The exact DOS is obtained through a recursion method, which is applicable to systems of any dimensionality, and yields results which possess the desirable analytic and convergence properties. Both the surface generalization of the coherent-potential approximation (CPA) and of the embedded-cluster method (ECM) are used to calculate averaged and partial DOS s and to compare them with the exact results. As is the case with bulk alloys, the CPA yields a smooth overall description of the exact spectra, while the ECM properly reproduces much of the structure of the DOS even when used with relatively small clusters of atoms. A discussion of the work and its possible utility is given.

Original languageEnglish
Pages (from-to)5169-5176
Number of pages8
JournalPhysical Review B
Volume34
Issue number8
DOIs
Publication statusPublished - 1986

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ASJC Scopus subject areas

  • Condensed Matter Physics

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Numerical and analytic methods for the study of disordered alloy surfaces. / Zhang, X.; Hwang, M.; Gonis, A.; Freeman, Arthur J.

In: Physical Review B, Vol. 34, No. 8, 1986, p. 5169-5176.

Research output: Contribution to journalArticle

Zhang, X. ; Hwang, M. ; Gonis, A. ; Freeman, Arthur J. / Numerical and analytic methods for the study of disordered alloy surfaces. In: Physical Review B. 1986 ; Vol. 34, No. 8. pp. 5169-5176.
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