Soliton regime in the model with no Lifshitz invariant

TL;DR

This paper investigates the nonlinear behavior of order parameter waves in systems like thiourea using a phenomenological model without Lifshitz invariant, revealing conditions for continuous lock-in transitions and the emergence of soliton lattices.

Contribution

It introduces a phenomenological model without Lifshitz invariant to describe nonlinear order parameter modulation and analyzes the nature of lock-in transitions and soliton lattice formation.

Findings

Lock-in transition can be continuous in certain parameter regimes.

Soliton lattice appears near the lock-in transition.

Model applies to systems like thiourea.

Abstract

Nonlinear properties of the order parameter modulation wave in such systems as thiourea are described in the framework of the phenomenological model with no Lifshitz invariant. It is also shown that for some values of the thermodynamic potential parameters the lock-in transition is continuous in the type II systems. Close to this transition the soliton lattice appears.