Off-perturbative states in disordered systems

Vik.S. Dotsenko

Physica A: Statistical Mechanics and its Applications, 2006, vol. 361, issue 2, 463-484

Abstract: The systematic approach for the off-perturbative calculations in disordered systems is developed. The proposed scheme is applied for the random temperature and the random field ferromagnetic Ising models. It is shown that away from the critical point, in the paramagnetic phase of the random temperature model, and in the ferromagnetic phase of the random field one, the free energy contains non-analytic contributions which have the form of essential singularities. It is demonstrated that these contributions appear due to localized in space instanton-like excitations.

Keywords: Quenched disorder; Instantons; Replicas; Mean-field; Non-analytic functions (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:361:y:2006:i:2:p:463-484

DOI: 10.1016/j.physa.2005.06.089

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