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Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations | | A.K. Hartmann
; A.P. Young
; | | Date: |
16 May 2001 | | Journal: | Phys. Rev. B 64, 214419 (2001) | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech | | Affiliation: | University of California Santa Cruz | | Abstract: | 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
u=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. | | Source: | arXiv, cond-mat/0105310 | | Services: | Forum | Review | PDF | Favorites | |
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