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Crossover behavior of anisotropic cubic system with ionic anisotropy

Author

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  • Ueno, Katsunobu
  • Yamazaki, Yoshitake
  • Holz, Arno

Abstract

Crossover behavior of anisotropic cubic N-component spin system with ionic anisotropies of different magnitude is studied in terms of the renormalization-group (RG) approach in momentum space. As a fundamental case, we choose a system with two kinds of strength of ionic anisotropies (i.e. m21 for the M-component spin and m22 for the other (N–M)-one), which has a bicritical point. We discuss the critical behavior and crossover behavior between the M- component system and the N-component system on the critical exponents [i.e., coefficient functions appearing in the RG equation of γS for the spin field S, γS2 for the S2-field and γδS2 for the δS2 (≡[(N-M)S22-MS22]/N)-field] and on the temperature-dependent crossover exponent γeff.

Suggested Citation

  • Ueno, Katsunobu & Yamazaki, Yoshitake & Holz, Arno, 1981. "Crossover behavior of anisotropic cubic system with ionic anisotropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 109(3), pages 579-596.
    • Handle: RePEc:eee:phsmap:v:109:y:1981:i:3:p:579-596
    DOI: 10.1016/0378-4371(81)90014-5
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