TY - JOUR
T1 - COMMENSURATE-INCOMMENSURATE TRANSITIONS BY PHYSISORBED FILMS ON ANISOTROPIC SUBSTRATES.
AU - Haldane, F. D.M.
AU - Villain, J.
PY - 1981
Y1 - 1981
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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U2 - 10.1051/jphys:0198100420120167300
DO - 10.1051/jphys:0198100420120167300
M3 - Article
AN - SCOPUS:0019662312
SN - 0302-0738
VL - 42
SP - 1673
EP - 1690
JO - Journal de physique Paris
JF - Journal de physique Paris
IS - 12
ER -