1301.0685 (E. E. Tareyeva et al.)

Orientational glass: full replica symmetry breaking in generalized spin
glass-like models without reflection symmetry    [PDF]

E. E. Tareyeva, T. I. Schelkacheva, N. M. Chtchelkatchev

We investigate near the point of glass transition the expansion of the free energy corresponding to the generalized Sherrington--Kirkpatrick model with arbitrary diagonal operators U standing instead of Ising spins. We focus on the case when U is an operator with broken reflection symmetry. Such a consideration is important for understanding the behavior of spin-glass-like phases in a number of real physical systems, mainly in orientational glasses in mixed molecular crystals which present just the case. We build explicitly a full replica symmetry breaking (FRSB) solution of the equations for the orientational glass order parameters when the non-symmetric part of U is small. This particular result presents a counterexample in the context of usually adopted conjecture of the absence of FRSB solution in systems with no reflection symmetry.

View original: http://arxiv.org/abs/1301.0685