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Crossover exponent to order ϵ3(ϵ = 4 − d) in isotropic N-component spin systems

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  • Yamazaki, Yoshitake

Abstract

The crossover exponent ø to the order ϵ3 in isotropic N-component spin systems is derived by means of the Callan-Symanzik equations. The result obtained coincides with that by Hikami and Abe in the spherical limit, is in good agreement with that by means of series expansions by Pfeuty et al. in three dimensions and shows an oscillating behavior about some values with the degrees of expansion in ϵ.

Suggested Citation

  • Yamazaki, Yoshitake, 1978. "Crossover exponent to order ϵ3(ϵ = 4 − d) in isotropic N-component spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(1), pages 58-76.
    • Handle: RePEc:eee:phsmap:v:90:y:1978:i:1:p:58-76
    DOI: 10.1016/0378-4371(78)90044-4
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