Maximal Mean Field Solutions in the Random Field Ising Model: the Pattern of the Symmetry Breaking

Details Maximal Mean Field Solutions in the Random Field Ising Model: the Pattern of the Symmetry Breaking Maximal Mean Field Solutions in the Random Field Ising Model: the Pattern of the Symmetry Breaking

1993-03-23

arxiv.org/abs/cond-mat/9303042v1

Physics

Condensed Matter

16 pages plus 9 ps figures added in a compressed uufile, ROM2F-92-46, SCCS 372

Scientific paper

10.1088/0305-4470/26/21/009

In this note we study the mean field equations for the $3d$ Random Field Ising Model. We discuss the phase diagram of the model, and we address the problem of finding if such equations admit more than one solution. We find two different critical values of $\beta$: one where the magnetization takes a non-zero expectation value, and one where we start to have more than one solution to the mean field equation. We find that, inside a given solution, there are no divergent correlation lengths.

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