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

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.

19 pages, accepted in PRE

References in corpus (3)

• Novel universality classes of coupled driven diffusive systems
• Scaling and universality in coupled driven diffusive models
• Continuous Universality in non-equilibrium relaxational dynamics of O(2) symmetric systems

Cited by in corpus (2)

• Dynamic scaling in the quenched disordered classical $N$-vector model
• Replica symmetry breaking for anisotropic magnets with quenched disorder