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Nonequilibrium Relaxation Studies For Frustrated Spin Systems With Kosterlitz–Thouless Transitions

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yukiyasu Ozeki & Satoshi Yotsuyanagi, 2009. "Nonequilibrium Relaxation Studies For Frustrated Spin Systems With Kosterlitz–Thouless Transitions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(09), pages 1367-1376.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:09:n:s0129183109014436
    DOI: 10.1142/S0129183109014436
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