Crossover behavior of systems associated with extended-defect N-component systems in cubic anisotropic crystals

Yoshitake Yamazaki, Arno Holz, Moyuru Ochiai and Yoshiichi Fukuda

Physica A: Statistical Mechanics and its Applications, 1988, vol. 150, issue 3, 576-591

Abstract: Extended-defect N-component systems in cubic anisotropic crystals have fixed points of the Gaussian [G], Ising [PI], isotropic N-component [PN] and cubic anisotropic N-component [PcN] systems as regular (pure) systems, and those of the Ising [DI], isotropic N-component [DN], cubic anisotropic XY [DcXY] and cubic anisotropic N-component [DcN] systems as extended-defect systems. Crossover behavior near these typical fixed point systems is studied by means of a renormalization-group (RG) approach and characteristic curve (CC) method. Crossover exponents of the systems and their behavior are calculated and illustrated to linear order in ϵ (≡ − d; d = dimension of space) and ≈ϵ (≡ϵ + ϵd; ϵd = dimension of space occupied by extended defects (impurities)).

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:150:y:1988:i:3:p:576-591

DOI: 10.1016/0378-4371(88)90257-9

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