Elusive Glassy Phase in the Random Field Ising Model

Details Elusive Glassy Phase in the Random Field Ising Model Elusive Glassy Phase in the Random Field Ising Model

2009-11-08

arxiv.org/abs/0911.1551v2

Phys. Rev. Lett. 104, 207208 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.104.207208

We consider the random field Ising model and show rigorously that the spin glass susceptibility at equilibrium is always bounded by the ferromagnetic susceptibility, and therefore that no spin glass phase can be present at equilibrium out of the ferromagnet critical line. When the magnetization is, however, fixed to values smaller than the equilibrium one, a glassy phase can exist, as we show explicitly on the Bethe lattice.

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