Interactions of several replicas in the random field Ising model

Details Interactions of several replicas in the random field Ising model Interactions of several replicas in the random field Ising model

2000-07-28

arxiv.org/abs/cond-mat/0007457v1

Physics

Condensed Matter

latex Replicas.tex, 1 file, 11 pages [SPhT-T00/111], submitted to Eur. Phys. J. B

Scientific paper

10.1007/s100510170323

The replicated field theory of the random field Ising model involves the couplings of replicas of different indices. The resulting correlation functions involve a superposition of different types of long distance behaviours. However the $n=0$ limit allows one to discuss the renormalization group properties in spite of this phenomenon. The attraction of pairs of replicas is enhanced under renormalization flow and no stable fixed point is found. Consequently an instability occurs in the paramagnetic region, before one reaches the Curie line, signalling the onset of replica symmetry breaking.

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