New universality classes for generic higher character Lifshitz points

TL;DR

This paper introduces new universality classes for higher character Lifshitz points, expanding the understanding of critical behaviors in systems with complex competing interactions using novel renormalization-group methods.

Contribution

It proposes new renormalization-group arguments that define universality classes for higher character Lifshitz points, generalizing existing $m$-axial classes.

Findings

New universality classes for higher character Lifshitz points

Renormalization-group methods applicable to anisotropic and isotropic systems

Connection to existing $m$-axial Lifshitz universality classes

Abstract

We describe new universality classes associated to generic higher character Lifshitz critical behaviors for systems with arbitrary short range competing interactions. New renormalization-group arguments are proposed for anisotropic and isotropic systems. The usual $m$-axial Lifshitz universality classes are obtained as a simple limit of this arbitrary competing critical behavior.