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Abstract:

The cellular coherent-potential approximation (CCPA) is applied to the calculation of the spectral density of the one-dimensional random chain of oscillators. Although the CCPA introduces an artificial periodicity on the on-the-average homogeneous chain, this does not appear to affect the results, which are found to agree very well with Monte Carlo calculations, when a sufficiently large cluster is taken. © 1978 The American Physical Society.

Registro:

Documento: Artículo
Título:Spectra density of a random chain of oscillators: Cellular coherent-potential approximation calculations
Autor:Hirsch, J.E.
Filiación:Departamento de Matematica, Facultad de Ciencias Exactas, Universidad de Buenos Aires, Buenos Aires, Argentina
Dept. of Physics, James Franck Institute, University of Chicago, Chicago, IL 60637, United States
Año:1978
Volumen:18
Número:8
Página de inicio:3976
Página de fin:3979
DOI: http://dx.doi.org/10.1103/PhysRevB.18.3976
Título revista:Physical Review B
ISSN:01631829
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01631829_v18_n8_p3976_Hirsch

Referencias:

  • Soven, P., (1967) Phys. Rev., 156, p. 809
  • Taylor, D.W., (1967) Phys. Rev., 156, p. 1017
  • Elliott, R.J., Krumhansl, J.A., Leath, P.L., (1974) Rev. Mod. Phys., 46, p. 465
  • Velicky, B., Kirkpatrick, S., Ehrenreich, H., Single-Site Approximations in the Electronic Theory of Simple Binary Alloys (1968) Physical Review, 175, p. 747
  • Tsukada, M., (1969) J. Phys. Soc. Jpn., 26, p. 684
  • Tsukada, M., (1972) J. Phys. Soc. Jpn., 32, p. 1475
  • Freed, K.F., Cohen, M.H., (1971) Phys. Rev. B, 3, p. 3400
  • Brouers, F., Cyrot, M., Cyrot-Lackmann, F., (1973) Phys. Rev. B, 7, p. 4370
  • Butler, W.H., (1973) Phys. Rev. B, 8, p. 4499
  • Elliott, R.J., Taylor, D.W., Vibrations of Random Dilute Alloys (1967) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 296, p. 161
  • Papatriantafillou, C., (1973) Phys. Rev. B, 7, p. 5386
  • Halperin, B.I., (1965) Phys. Rev., 139, p. A104
  • Hirsch, J.E., Eggarter, T.P., (1977) Phys. Rev. B, 15, p. 779
  • Schmidt, H., (1957) Phys. Rev., 105, p. 425
  • Hirsch, J.E., Eggarter, T.P., (1976) Phys. Rev. B, 14, p. 2433
  • Muller-Hartmann, E., Analyticity of the coherent potential approximation (1973) Solid State Communications, 12, p. 1269

Citas:

---------- APA ----------
(1978) . Spectra density of a random chain of oscillators: Cellular coherent-potential approximation calculations. Physical Review B, 18(8), 3976-3979.
http://dx.doi.org/10.1103/PhysRevB.18.3976
---------- CHICAGO ----------
Hirsch, J.E. "Spectra density of a random chain of oscillators: Cellular coherent-potential approximation calculations" . Physical Review B 18, no. 8 (1978) : 3976-3979.
http://dx.doi.org/10.1103/PhysRevB.18.3976
---------- MLA ----------
Hirsch, J.E. "Spectra density of a random chain of oscillators: Cellular coherent-potential approximation calculations" . Physical Review B, vol. 18, no. 8, 1978, pp. 3976-3979.
http://dx.doi.org/10.1103/PhysRevB.18.3976
---------- VANCOUVER ----------
Hirsch, J.E. Spectra density of a random chain of oscillators: Cellular coherent-potential approximation calculations. 1978;18(8):3976-3979.
http://dx.doi.org/10.1103/PhysRevB.18.3976