Modified Monte Carlo method with thermostat algorithm for model orthonickelates

TL;DR

This paper introduces a modified Monte Carlo method with a thermostat algorithm to simulate a pseudospin model of orthonickelates, analyzing phase diagrams, local correlations, and phase inhomogeneity effects.

Contribution

It presents a novel numerical approach combining Monte Carlo with a thermostat algorithm for modeling orthonickelates, including phase diagram construction and correlation analysis.

Findings

Constructed temperature phase diagrams for various fillings and parameters.

Identified the effect of local correlations on critical temperatures.

Demonstrated the possibility of detecting phase inhomogeneous states.

Abstract

The results of numerical simulation using a modified Monte Carlo method with a thermostat algorithm for a pseudospin model of orthonickelates are presented. Temperature phase diagrams are constructed for various degrees of filling and for various parameters of the model, and the effect of local correlations on the critical temperatures of the model orthonickelate is investigated. The possibility of detecting phase inhomogeneous states is shown. The numerical simulation results show good qualitative agreement with the analytical results in the mean field approximation.