Stability of a fixed point in the replica action for the random field Ising model

Details Stability of a fixed point in the replica action for the random field Ising model Stability of a fixed point in the replica action for the random field Ising model

1999-06-28

arxiv.org/abs/cond-mat/9906405v2

Physics

Condensed Matter

Statistical Mechanics

9 pages, 2 figures, LaTeX2e, major revision, the RG method same as Brezin and De Dominisis (Europhys. Lett. 44(1998) 13) is us

Scientific paper

We reconsider stability of the non-trivial fixed point in $6-\epsilon $ dimensional effective action for the random field Ising model derived by Br\'{e}zin and De Dominicis. After expansion parameters of physical observables are clarified, we find that the non-trivial fixed point in $6-\epsilon$ dimensions is stable, contrary to the argument by Br\'{e}zin and De Dominicis. We also computed the exponents $\nu$ and $\eta$ by the $\epsilon$ expansion. The results are consistent with the argument of the dimensional reduction at least in the leading order.

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