Title: The Sherrington–Kirkpatrick model in the presence of a bimodal random field: a one-step replica-symmetry-breaking approach
Abstract:The infinite-range-interaction Ising spin glass in the presence of a bimodal random field is investigated through the replica method. A one-step replica-symmetry-breaking procedure is considered, and ...The infinite-range-interaction Ising spin glass in the presence of a bimodal random field is investigated through the replica method. A one-step replica-symmetry-breaking procedure is considered, and its results are compared to previous ones, obtained in the replica-symmetry approximation. An analysis of the thermodynamic properties at low temperatures shows that the one-step replica-symmetry-breaking produces a substantial amelioration with respect to the replica-symmetric solution; in particular, the low-temperature negative-entropy problem is practically resolved within this improved approach. A curious aspect in replica-symmetric phase diagrams concerns the border of the ferromagnetic phase, which for sufficiently high values of the field may present one or even two tricritical points. In this latter case, it is shown that the higher-temperature tricritical point remains; however, the low-temperature one disappears within the one-step replica-symmetry-breaking procedure, yielding a first-order critical frontier down to zero temperature.Read More
Publication Year: 2012
Publication Date: 2012-01-16
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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