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Physical Review Letters
A high-temperature series expansion for the Edwards and Anderson spin-glass order-parameter susceptibility is computed for Ising spins on hypercubic lattices with nearest-neighbor interactions. The series is analyzed by Padé approximants with Rudnick-Nelson-type corrections to scaling. The results agree with the first-order ε expansion of Harris, Lubensky, and Chen. The critical exponent γQ increases monotonically with decreasing dimension, d, for d<6, and apparently tends to infinity at d=4; however, the critical temperature does not appear to go to zero at d=4.
Fisch, R., & Harris, A. (1977). Series Study of a Spin-Glass Model in Continuous Dimensionality. Physical Review Letters, 38 (14), 785-787. http://dx.doi.org/10.1103/PhysRevLett.38.785
Additional Fileserrata re series study of a spin-glass model.pdf (60 kB)
Date Posted: 12 August 2015
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