Monte Carlo Study of Relaxor Systems: A Minimum Model for Pb(In$_{1/2}$Nb$_{1/2}$)O$_3$}

TL;DR

This study uses a Monte Carlo simulation of a minimal model incorporating long-range interactions and local anisotropy to replicate key relaxor behaviors in Pb(In$_{1/2}$Nb$_{1/2}$)O$_3$, providing insights into its phase diagram and dynamics.

Contribution

The paper introduces an optimized Monte Carlo algorithm for simulating relaxor ferroelectrics with long-range interactions, successfully reproducing experimental features with a simplified model.

Findings

Qualitative phase diagram matching experimental PIN

Observation of nano-scale domain formation

Demonstration of slow dynamics and dispersive dielectric response

Abstract

We examine a simple model for Pb(In$_{1/2}$Nb$_{1/2}$)O$_3$ (PIN), which includes both long-range dipole-dipole interaction and random local anisotropy. A improved algorithm optimized for long-range interaction has been applied for efficient large-scale Monte Carlo simulation. We demonstrate that the phase diagram of PIN is qualitatively reproduced by this minimum model. Some properties characteristic of relaxors such as nano-scale domain formation, slow dynamics and dispersive dielectric responses are also examined.