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
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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
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Año: | 1978
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Volumen: | 18
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Número: | 8
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Página de inicio: | 3976
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Página de fin: | 3979
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DOI: |
http://dx.doi.org/10.1103/PhysRevB.18.3976 |
Título revista: | Physical Review B
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ISSN: | 01631829
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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
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- 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