Order parameter configurations in the Lifshitz-type incommensurate ferroelectric thin films

TL;DR

This paper analyzes the phase configurations in Lifshitz-type incommensurate ferroelectric thin films, revealing that amplitude oscillations significantly influence phase behavior even with minimal anisotropy.

Contribution

It provides an analytic study of order parameter configurations considering amplitude oscillations, highlighting their importance in phase analysis of ferroelectric thin films.

Findings

Amplitude oscillations are crucial for understanding phase functions.

Phase jumps persist even with negligible anisotropy.

Analytic results obtained in the small anisotropy limit.

Abstract

The Dzialoshinskii model of periodic and helicoidal structures has been analyzed without neglecting of the amplitude function oscillations. The amplitude function oscillations are shown to be important for understanding of the nature of the phase function. Analytic consideration is carried out in the limit of small anisotropy (neglecting the cosine term in the Hamiltonian). Surprisingly, the phase jumps survive even in the limit of the vanishing anisotropy.