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

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

doi:10.1016/j.physleta.2012.12.023

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arXiv · 1301.0685

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

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

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Abstract

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.

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E. E. Tareyeva, T. I. Schelkacheva, N. M. Chtchelkatchev. 2013-01-04. Orientational glass: full replica symmetry breaking in generalized spin glass-like models without reflection symmetry. https://doi.org/10.1016/j.physleta.2012.12.023

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