The Monte Carlo Method for the Orthonickelate Model
Yu.D. Panov, S.V. Nuzhin, V.S. Ryumshin, A.S. Moskvin
TL;DR
This paper investigates the phase states of the triplet boson model for orthonickelates using analytical methods and Monte Carlo simulations, identifying stability conditions and comparing mean-field and numerical results.
Contribution
It introduces a combined analytical and Monte Carlo simulation approach to study phase states in the orthonickelate model, highlighting stability criteria and phase inhomogeneity.
Findings
Thermodynamic stability conditions for homogeneous phases identified
Mean-field approximation qualitatively matches Monte Carlo simulation results
Numerical simulations reveal phase inhomogeneity in the model
Abstract
The peculiarities of phase states of the triplet boson model for orthonickelates are investigated analytically and by means of numerical simulations. The conditions of thermodynamic stability of homogeneous phases are found. It is shown that the description of the phase inhomogeneous state in the mean-field approximation qualitatively agrees with the observed state of the system in numerical simulations by the classical Monte Carlo method
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