Full replica symmetry breaking in p-spin-glass-like systems

TL;DR

This paper explores how varying the effective number of particles in a p-spin-glass model transitions between different replica symmetry breaking solutions, using axial quadrupole moments as an example.

Contribution

It introduces a method to describe the transition between full and first replica symmetry breaking in p-spin-glass-like systems with non-reflective symmetry operators.

Findings

Transition boundary at p_c1 ≈ 2.5

Demonstrates continuous change in symmetry breaking solutions

Uses axial quadrupole moments instead of Ising spins

Abstract

It is shown that continuously changing the effective number of interacting particles in p-spin-glass-like model allows to describe the transition from the full replica symmetry breaking glass solution to stable first replica symmetry breaking glass solution in the case of non-reflective symmetry diagonal operators used instead of Ising spins. As an example, axial quadrupole moments in place of Ising spins are considered and the boundary value $p_{c_{1}}\cong 2.5$ is found.