Date of this Version
Physical Review Letters
Novel methods were used to generate and analyze new 15 term high temperature series for both the (connected) susceptibility χ and the structure factor (disconnected susceptibility) χd for the random field Ising model with dimensionless coupling K=J/kT, in general dimension d. For both the bimodal and the Gaussian field distributions, with mean square field J2g, we find that (χd-χ)/K2gχ2=1 as T→Tc(g), for a range of [h2]=J2g and d=3,4,5. This confirms the exponent relation γ¯=2γ (where χd~t−γ¯, χ~t−γ, t=T-Tc) providing that random field exponents are determined by two (and not three) independent exponents. We also present new accurate values for γ.
Gofman, M., Adler, J., Aharony, A., Harris, A., & Schwartz, M. (1993). Evidence for Two Exponent Scaling in the Random Field Ising Model. Physical Review Letters, 71 (10), 1569-1572. http://dx.doi.org/10.1103/PhysRevLett.71.1569
Date Posted: 20 August 2015
This document has been peer reviewed.