Critical behavior of N-component spin systems with random impurities in cubic-anisotropy crystalline material

Yoshitake Yamazaki, Moyuru Ochiai, Yoshiichi Fukuda and Arno Holz

Physica A: Statistical Mechanics and its Applications, 1985, vol. 132, issue 2, 284-317

Abstract: Static and dynamic critical behavior of N-component spin systems with cubic anisotropy and with quenched random impurities are studied in the limit εd→0+ of the impurity system whose impurities are strongly correlated in εd dimensions while they are randomly distributed in the remaining d − εd dimensions. By means of the renormalization-group approach, the stability of the fixed points, the flow of the interactions and the critical exponents are evaluated up to two-loop order. The behavior of the first order phase transition to appear is also studied.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:132:y:1985:i:2:p:284-317

DOI: 10.1016/0378-4371(85)90013-5

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