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Main Authors: Celiberti, Lorenzo, Ehrentraut, Alexander, Leoni, Luca, Franchini, Cesare
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.08058
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author Celiberti, Lorenzo
Ehrentraut, Alexander
Leoni, Luca
Franchini, Cesare
author_facet Celiberti, Lorenzo
Ehrentraut, Alexander
Leoni, Luca
Franchini, Cesare
contents We investigate the Jahn-Teller structural phase transition in LaMnO$_3$ at $T_{JT} \simeq 750$ K using molecular dynamics simulations based on machine-learning force fields trained on ab initio data. Analysis of the site-site correlation function of the distortions reveals that the transition is driven by the ordering of the $Q_2$ Jahn-Teller distortion of the MnO$_6$ octahedra, which acts as the order parameter and establishes the order-disorder nature of the transition. Dynamical local distortions are found to persist above $T_{JT}$. Our results reproduce the experimental temperature dependence of both structural and phonon properties and highlight the presence of anharmonic effects at finite temperature. More broadly, the combined use of machine-learning molecular dynamics and velocity autocorrelation function analysis provides a robust framework for uncovering the microscopic mechanisms of structural phase transitions in correlated materials. In particular, this approach enables a clear distinction between order-disorder transitions and alternative mechanisms, such as displacive behavior, through the temperature evolution of vibrational properties.
format Preprint
id arxiv_https___arxiv_org_abs_2604_08058
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Machine Learning the order-disorder Jahn-Teller transition in LaMnO$_3$
Celiberti, Lorenzo
Ehrentraut, Alexander
Leoni, Luca
Franchini, Cesare
Statistical Mechanics
We investigate the Jahn-Teller structural phase transition in LaMnO$_3$ at $T_{JT} \simeq 750$ K using molecular dynamics simulations based on machine-learning force fields trained on ab initio data. Analysis of the site-site correlation function of the distortions reveals that the transition is driven by the ordering of the $Q_2$ Jahn-Teller distortion of the MnO$_6$ octahedra, which acts as the order parameter and establishes the order-disorder nature of the transition. Dynamical local distortions are found to persist above $T_{JT}$. Our results reproduce the experimental temperature dependence of both structural and phonon properties and highlight the presence of anharmonic effects at finite temperature. More broadly, the combined use of machine-learning molecular dynamics and velocity autocorrelation function analysis provides a robust framework for uncovering the microscopic mechanisms of structural phase transitions in correlated materials. In particular, this approach enables a clear distinction between order-disorder transitions and alternative mechanisms, such as displacive behavior, through the temperature evolution of vibrational properties.
title Machine Learning the order-disorder Jahn-Teller transition in LaMnO$_3$
topic Statistical Mechanics
url https://arxiv.org/abs/2604.08058