Abstract
Static and dynamic critical behavior ofXY systems in cubic anisotropic crystallines, with extended defects (or quenched nonmagnetic impurities) strongly correlated alongɛ d -dimensional space and randomly distributed ind − ɛ d dimensions, were studied. These extended defects make the systems coordinate anisotropic, resulting in unique critical behavior due to competition between the cubic anisotropy and the coordinate anisotropy. The systems were analyzed by anɛ 1/2 (ɛ≡4 − d) type of expansion with double expansion parameters based on a renormalization-group (RG) approach. Critical exponents were calculated near the second-order phase transition point and the behavior of the first-order transition was evaluated near the tricritical point.
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Yamazaki, Y., Holz, A., Ochiai, M. et al. Static and dynamic properties of XY systems with extended defects in cubic anisotropic crystallines. J Stat Phys 41, 497–530 (1985). https://doi.org/10.1007/BF01009020
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DOI: https://doi.org/10.1007/BF01009020