COMMENSURATE-INCOMMENSURATE TRANSITIONS BY PHYSISORBED FILMS ON ANISOTROPIC SUBSTRATES.

F. D.M. Haldane; J. Villain

doi:10.1051/jphys:0198100420120167300

COMMENSURATE-INCOMMENSURATE TRANSITIONS BY PHYSISORBED FILMS ON ANISOTROPIC SUBSTRATES.

F. D.M. Haldane, J. Villain

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Abstract

Commensurate-incommensurate transitions in dimension D equals 2 have previously been investigated by Pokrovskii and Talapov, Schulz, and Okwamoto (PTSC (PTSO). Some of their results are reproduced here by means of a simple dimensional argument. In addition, new results are obtained in the low temperature region. The temperature dependence of relevant parameters is specified, and different behaviors of various systems are pointed out. The range of validity of the PTSo square root behavior is calculated at low temperature by an exact method. This range of validity is found to be very narrow. An improved formula, valid in a broader range, is proposed. On metal surfaces the PTSO mechanism is probably dominated by electric dipole interactions. Theoretical results qualitatively discussed in the experimentally available temperature region.

Original language	English (US)
Pages (from-to)	1673-1690
Number of pages	18
Journal	Journal de physique Paris
Volume	42
Issue number	12
DOIs	https://doi.org/10.1051/jphys:0198100420120167300
State	Published - Jan 1 1981

All Science Journal Classification (ASJC) codes

Engineering(all)

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10.1051/jphys:0198100420120167300

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title = "COMMENSURATE-INCOMMENSURATE TRANSITIONS BY PHYSISORBED FILMS ON ANISOTROPIC SUBSTRATES.",

abstract = "Commensurate-incommensurate transitions in dimension D equals 2 have previously been investigated by Pokrovskii and Talapov, Schulz, and Okwamoto (PTSC (PTSO). Some of their results are reproduced here by means of a simple dimensional argument. In addition, new results are obtained in the low temperature region. The temperature dependence of relevant parameters is specified, and different behaviors of various systems are pointed out. The range of validity of the PTSo square root behavior is calculated at low temperature by an exact method. This range of validity is found to be very narrow. An improved formula, valid in a broader range, is proposed. On metal surfaces the PTSO mechanism is probably dominated by electric dipole interactions. Theoretical results qualitatively discussed in the experimentally available temperature region.",

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N2 - Commensurate-incommensurate transitions in dimension D equals 2 have previously been investigated by Pokrovskii and Talapov, Schulz, and Okwamoto (PTSC (PTSO). Some of their results are reproduced here by means of a simple dimensional argument. In addition, new results are obtained in the low temperature region. The temperature dependence of relevant parameters is specified, and different behaviors of various systems are pointed out. The range of validity of the PTSo square root behavior is calculated at low temperature by an exact method. This range of validity is found to be very narrow. An improved formula, valid in a broader range, is proposed. On metal surfaces the PTSO mechanism is probably dominated by electric dipole interactions. Theoretical results qualitatively discussed in the experimentally available temperature region.

AB - Commensurate-incommensurate transitions in dimension D equals 2 have previously been investigated by Pokrovskii and Talapov, Schulz, and Okwamoto (PTSC (PTSO). Some of their results are reproduced here by means of a simple dimensional argument. In addition, new results are obtained in the low temperature region. The temperature dependence of relevant parameters is specified, and different behaviors of various systems are pointed out. The range of validity of the PTSo square root behavior is calculated at low temperature by an exact method. This range of validity is found to be very narrow. An improved formula, valid in a broader range, is proposed. On metal surfaces the PTSO mechanism is probably dominated by electric dipole interactions. Theoretical results qualitatively discussed in the experimentally available temperature region.

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COMMENSURATE-INCOMMENSURATE TRANSITIONS BY PHYSISORBED FILMS ON ANISOTROPIC SUBSTRATES.

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