Renormalization group for the probability distribution of magnetic impurities in a random-field $φ^4$ model

Details Renormalization group for the probability distribution of magnetic impurities in a random-field $φ^4$ model Renormalization group for the probability distribution of magnetic impurities in a random-field $φ^4$ model

2003-02-07

arxiv.org/abs/cond-mat/0302143v2

Physics

Condensed Matter

Statistical Mechanics

16 pages, 11 figures, revtex

Scientific paper

10.1142/S021797920402446X

Extending the usual Ginzburg-Landau theory for the random-field Ising model, the possibility of dimensional reduction is reconsidered. A renormalization group for the probability distribution of magnetic impurities is applied. New parameters corresponding to the extra $\phi^4$ coupling constants in the replica Hamiltonian are introduced. Although they do not affect the critical phenomena near the upper critical dimension, they can when dimensions are lowered.

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