Intrinsic nanoscale inhomogeneity in ordering systems due to elastic-mediated interactions

TL;DR

This paper investigates how elastic-mediated interactions cause nanoscale inhomogeneity and diverse pattern formation in a 2D Ising model, revealing phase transitions and new ordered phases through Monte Carlo simulations.

Contribution

It demonstrates the impact of elastic coupling strength on short-range order and phase reconstruction in a 2D Ising system, highlighting the emergence of various patterns and phases.

Findings

Strong coupling leads to broad temperature range of short-range order.

Different patterns like stripes and checkboards depend on parameters.

New ordered phases appear at low temperatures with increased coupling.

Abstract

Phase diagram and pattern formation in two-dimensional Ising model with coupling between order parameter and lattice vibrations is investigated by Monte-Carlo simulations. It is shown that if the coupling is strong enough (or phonons are soft enough) a short-range order exists in disordered phase for a broader temperature interval. Different types of this short-range order (stripe-like, checkboard-like, etc.) depending on the temperature and model parameters are investigated. With further increase of the coupling, a reconstruction of the ground state happens and new ordered phases appear at low enough temperatures.