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Prog. Theor. Phys. Vol. 63 No. 3 (1980) pp. 831-841

Commensurate-Incommensurate Transition and Melting in Two-Dimension

Yukio Saito

Institut für Festkörperforschung der Kernforschungsanlage Jülich, D-5170 Jülich, Fed. Rep. Germany

(Received December 3, 1979)

Abstract:

The phase diagram for the two-dimensional sine-Gordon system with incommensurability is investigated using a self-consistent variational approach. At T = 0 the system undergoes a well-known continuous transition between commensurate (C) and incommensurate (IC) solid phases. At low temperatures 0 < T < T_R/2 the C-solid phase is separated from the IC-solid phase by a first-order transition line, and at high temperatures T_R/2 ≤T < T_R the C-solid phase is separated by a liquid phase by a first-order transition line. T_R is the roughening or melting temperature for the system without incommensurability, and this melting transition at T_R is continuous. The liquid and the IC-solid phases are separated by a continuous transition line at T = T_R/2, where the free energy has an essential singularity.

URL : http://ptp.ipap.jp/link?PTP/63/831/
DOI : 10.1143/PTP.63.831

[ Full Text PDF : FREE ACCESS (793K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 65 No. 2 (1981) pp. 427-436 :

   Phase Transitions in Two-Dimensional Classical Pseudo-Harmonic Model

   Hikaru Yamamoto

2. Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1291-1294 :

   Commensurate-Incommensurate Transition in a Two Dimensional Classical Sine-Gordon System

   Hikaru Yamamoto

3. Progress of Theoretical Physics Supplement No.69 (1980) pp. 397-405 :

   Commensurate-Incommensurate Transition with 2 × 2 Structure in the Mean-Field Approximation

   Yukio Saito

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