Off-perturbative states in disordered systems

Details Off-perturbative states in disordered systems Off-perturbative states in disordered systems

2005-06-24

arxiv.org/abs/cond-mat/0506633v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 pages, 7 figures; corrected instanton solutions in RFIM

Scientific paper

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.

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