Griffiths singularity in the random Ising ferromagnet

Details Griffiths singularity in the random Ising ferromagnet Griffiths singularity in the random Ising ferromagnet

2005-05-10

arxiv.org/abs/cond-mat/0505233v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 3 figures

Scientific paper

10.1007/s10955-005-8079-6

The explicit form of the Griffiths singularity in the random ferromagnetic Ising model in external magnetic field is derived. In terms of the continuous random temperature Ginzburg-Landau Hamiltonian it is shown that in the paramagnetic phase away from the critical point the free energy as the function of the external magnetic field h in the limit h -> 0 has the essential singularity of the form $\exp[-(const)h^{-D/3}]$ (where 1

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