NONEQUILIBRIUM RELAXATION STUDIES FOR FRUSTRATED SPIN SYSTEMS WITH KOSTERLITZ–THOULESS TRANSITIONS

Yukiyasu Ozeki () and Satoshi Yotsuyanagi
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Yukiyasu Ozeki: Department of Physics and Chemistry, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan
Satoshi Yotsuyanagi: Department of Physics and Chemistry, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 09, 1367-1376

Abstract: Theq-state clock gauge glass model in two dimensions withq = 6, 8, 10, 12, 14, 16 is studied by the use of the nonequilibrium relaxation analysis of the Kosterlitz–Thouless (KT) transition. The successive transitions of FM-KT-PM phases are investigated along the Nishimori line. For the upper critical temperature, it is found that the transition temperature is almost the same as in the continuous case for allqvalues. The lower transition temperature is found to be proportional to1/q2. While the present model is not self-dual, we have a remarkable behavior with respect to the duality relation derived for the self-dual Villain-type model.

Keywords: Gauge glass; nonequilibrium relaxation method; Kosterlitz–Thouless transition; clock model; 61.43.Bn; 75.30.Kz; 75.10.Nr (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014436

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