Phase transitions and continuously variable scaling in a chiral quenched disordered model

TL;DR

This paper investigates how chiral quenched disorder influences the critical scaling behavior of a cubic anisotropic O(N) model, revealing continuous variation of exponents due to inversion symmetry breaking.

Contribution

It introduces a reduced model showing how chiral disorder causes continuous changes in critical exponents near phase transitions.

Findings

Scaling exponents depend continuously on disorder parameters.

Chiral disorder breaks inversion symmetry and affects critical behavior.

Implications for experiments and phenomenology are discussed.

Abstract

We elucidate the effects of chiral quenched disorder on the scaling properties of pure systems by considering a reduced model that is a variant of the quenched disordered cubic anisotropic O(N) model near its second order phase transition. A generic short-ranged Gaussian disorder distribution is considered. For distributions not invariant under spatial inversion ({hence chiral}), the scaling exponents are found to depend continuously on a model parameter that describes the extent of inversion symmetry breaking. Experimental and phenomenological implications of our results are discussed.