Modeling of hysteresis phenomena in crystalline ferroelectrics: hysteresis loops shape control by means of electric field parameters

TL;DR

This paper presents an analytical model for hysteresis in crystalline ferroelectrics, linking electric field parameters to hysteresis loop shapes, with results aligning qualitatively with experimental observations.

Contribution

It introduces a closed-form analytical solution for domain switching in ferroelectrics under variable electric fields, enhancing understanding of hysteresis control.

Findings

Analytical solution matches experimental hysteresis data qualitatively.

Hysteresis loop shape depends on electric field frequency and parameters.

Model provides insights into polarization switching dynamics.

Abstract

Description of domains switching processes in crystalline ferroelectrics by means of relaxation type equations with account of variable external electric field is proposed. Exact solution of these equations in closed analytical form at arbitrary dependence of electric field on time is obtained. A connection between frequency of sinusoidal external field and hysteresis loops shapes is analysed by numerical way. The calculation results are in qualitative accordance with experimental data. PACS: 77.80.Fm, 77.80.Dj, 77.80.-e Keywords: ferroelectrics, switching process, hysteresis, polarization