Crossover behavior of anisotropic cubic system with ionic anisotropy

Katsunobu Ueno, Yoshitake Yamazaki and Arno Holz

Physica A: Statistical Mechanics and its Applications, 1981, vol. 109, issue 3, 579-596

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.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:109:y:1981:i:3:p:579-596

DOI: 10.1016/0378-4371(81)90014-5

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