Renormalization group for the random-field Ising model

Parmar, Y. S. ; Bhattacharjee, J. K. (1992) Renormalization group for the random-field Ising model Physical Review B, 46 (2). pp. 1216-1219. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v46/i2/p1216_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.46.1216

Abstract

We consider a random-field Ising model with a Gaussian distribution for the random field. The replica approach is combined with the standard spin-decimation technique to set up renormalization-group flows which are Migdal-Kadanoff-like for dimensions (D) greater than, or equal to, 2. The critical behavior is found to be controlled by the low-temperature fixed point of Bray and Moore for D≥2.

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