Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations

Details Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations

2001-05-15

arxiv.org/abs/cond-mat/0105310v2

Phys. Rev. B 64, 214419 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 9 figures, 1 table, revtex revised version, slightly extended

Scientific paper

10.1103/PhysRevB.64.214419

Exact ground states of three-dimensional random field Ising magnets (RFIM) with Gaussian distribution of the disorder are calculated using graph-theoretical algorithms. Systems for different strengths h of the random fields and sizes up to N=96^3 are considered. By numerically differentiating the bond-energy with respect to h a specific-heat like quantity is obtained, which does not appear to diverge at the critical point but rather exhibits a cusp. We also consider the effect of a small uniform magnetic field, which allows us to calculate the T=0 susceptibility. From a finite-size scaling analysis, we obtain the critical exponents \nu=1.32(7), \alpha=-0.63(7), \eta=0.50(3) and find that the critical strength of the random field is h_c=2.28(1). We discuss the significance of the result that \alpha appears to be strongly negative.

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