One-step replica symmetry breaking solution of the quadrupolar glass model

Details One-step replica symmetry breaking solution of the quadrupolar glass model One-step replica symmetry breaking solution of the quadrupolar glass model

2006-07-05

arxiv.org/abs/cond-mat/0607107v2

J. Phys. A: Math. Gen. 39 13393 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 3 figures

Scientific paper

10.1088/0305-4470/39/43/001

We consider the quadrupolar glass model with infinite-range random interaction. Introducing a simple one-step replica symmetry breaking ansatz we investigate the para-glass continuous (discontinuous) transition which occurs below (above) a critical value of the quadrupole dimension m*. By using a mean-field approximation we study the stability of the one-step replica symmetry breaking solution and show that for m>m* there are two transitions. The thermodynamic transition is discontinuous but there is no latent heat. At a higher temperature we find the dynamical or glass transition temperature and the corresponding discontinuous jump of the order parameter.

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