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- W2060768093 abstract "We examine the thermodynamic properties of a set of Ising spins interacting via various random potentials Jij in a modified Bethe-Peierls-Weiss (BPW) approximation and obtain the spin glass order parameter, the internal energy and the specific heat. When the effective number of neighbors z→∞, we show that the magnetic properties of the system are identical in the (i) BPW-method, (ii) the selfconsistent mean-random-field (MRF) method, and (iii) the Sherrington-Kirkpatrick derivation. The entropy at T=0 is still negative and our method suggests how including correlations would result in a more physically correct solution as T→0. We also obtain the phase diagram as a function of z in the MRF-method from z=2 to z=20 and find that for z≳8 the phase diagram differs little from the z=∞ case. Similarly, we obtain the thermodynamic properties of the random spins with an RKKY potential in the BPW method. We find that for low concentrations the method gives a discontinuous slope in the magnetic susceptibility χ and the specific heat CM at the spin-glass transition temperature Tg, however the maximum in CM and χ occur well below Tg." @default.
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- W2060768093 date "1979-03-01" @default.
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- W2060768093 title "Random spin system in the Bethe-Peierls-Weiss approximation" @default.
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- W2060768093 doi "https://doi.org/10.1063/1.327195" @default.
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