Monte Carlo Study of the Ferromagnetic Six-State Clock Model on the Triangular Lattice

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概要

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• A Monte Carlo study is carried out on the six-state clock model on the triangular lattice. Physical quantities which characterize the Kosterlitz-Thouless (KT) phase transition are calculated. The temperature dependence of the exponent of the spin-pair correlation function, η(T), in the KT phase is obtained precisely. The exponential divergence of the correlation length, ζ〜exp (at^<-b>), with the theoretical value, b = 0. 5, gives a good fit to the data by the present MC simulations by choosing a=1. 6〜1. 8, η=0. 23〜0. 25 at the upper critical temperature T_u=1. 46〜1. 49. However, the choice of critical parameters, a〜3. 1, b〜0. 3 and η〜0. 28 at T_u〜1. 53 gives the most consistent result by a finite-size scaling analysis on several physical quantities. The lower critical temperature, T_L, is estimated to be 1. 1.

• 社団法人日本物理学会の論文
• 1995-04-15

著者

• Fujiki Sumiyoshi

  Graduate School Of Information Science Tohoku University

• Horiguchi Tsuyoshi

  Graduate School Of Information Sciences Tohoku University

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