Replica Symmetry Breaking in an Axial Model of Quadropolar Glass

TL;DR

This paper investigates the replica symmetry breaking in an axial quadrupolar glass model, revealing stability of the first RSB stage and continuous bifurcation from the replica symmetric solution, challenging traditional spin glass classifications.

Contribution

It demonstrates that the axial quadrupolar glass model exhibits unique RSB behavior, with continuous bifurcation and stability properties differing from standard spin glass models.

Findings

1RSB solution is stable against 2RSB.

The 1RSB bifurcates continuously from RS.

Model does not fit traditional spin glass classes.

Abstract

We perform the replica symmetry breaking (RSB) in the vicinity of the point of instability of the replica symmetric solution in the model of axial quadrupolar glass. It is shown that the solution with the first stage RSB is stable against the second stage RSB. Although there is no reflection symmetry the 1RSB solution bifurcates continuously from the RS one. These facts mean that our model can not be associated with one of two classes usually considered in spin glass theory.