Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Microscopic nature of orbital disorder in LaMnO3

Bodoo Batnaran, Andrew L. Goodwin, Michael A. Hayward, and Volker L. Deringer*

  • Inorganic Chemistry Laboratory, Department of Chemistry, University of Oxford, Oxford OX1 3QR, United Kingdom

  • *Contact author: volker.deringer@chem.ox.ac.uk

Phys. Rev. B 114, 225138 – Published 23 October, 2026

DOI: https://doi.org/10.1103/2vfq-tr9g

Abstract

We present a revised atomistic picture of the order-disorder transition in the archetypal orbital-ordered perovskite material, LaMnO3. Our study uses machine-learning-driven molecular-dynamics simulations which describe the temperature evolution of pair distribution functions in close agreement with experiments. We find the orbital-disordered phase in LaMnO3 to comprise a mixture of differing structural distortions with and without inversion symmetry, implying a mixture of different orbital arrangements. These distortions are highly dynamic with an estimated lifetime of ∼40 fs at 1000 K, and their fluctuations converge with the timescales of conventional thermal motion in the high-T phase—indicating that the electronic instability responsible for static Jahn-Teller distortions at low temperature instead drives phonon anharmonicity at high temperatures. Beyond LaMnO3, our work opens an avenue for studying a wider range of correlated materials.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (52)

  1. J. G. Bednorz and K. A. Müller, Possible high Tc superconductivity in the Ba – La – Cu – O system, Z. Phys. B 64, 189 (1986).
  2. H. Keller, A. Bussmann-Holder, and K. A. Müller, Jahn–Teller physics and high-Tc superconductivity, Mater. Today 11, 38 (2008).
  3. A. J. Millis, P. B. Littlewood, and B. I. Shraiman, Double exchange alone does not explain the resistivity of La1−xSrxMnO3, Phys. Rev. Lett. 74, 5144 (1995).
  4. A. J. Millis, B. I. Shraiman, and R. Mueller, Dynamic Jahn-Teller effect and colossal magnetoresistance in La1−xSrxMnO3, Phys. Rev. Lett. 77, 175 (1996).
  5. J. Deisenhofer, D. Braak, H.-A. Krug von Nidda, J. Hemberger, R. M. Eremina, V. A. Ivanshin, A. M. Balbashov, G. Jug, A. Loidl, T. Kimura, and Y. Tokura, Observation of a Griffiths phase in paramagnetic La1−xSrxMnO3, Phys. Rev. Lett. 95, 257202 (2005).
  6. P. G. Radaelli, D. E. Cox, M. Marezio, and S.-W. Cheong, Charge, orbital, and magnetic ordering in La0.5Ca0.5MnO3, Phys. Rev. B 55, 3015 (1997).
  7. M. S. Senn, D. A. Keen, T. C. A. Lucas, J. A. Hriljac, and A. L. Goodwin, Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions, Phys. Rev. Lett. 116, 207602 (2016).
  8. A. Okazaki and Y. Suemune, The crystal structure of KCuF3, J. Phys. Soc. Jpn. 16, 176 (1961).
  9. J. Rodríguez-Carvajal, M. Hennion, F. Moussa, A. H. Moudden, L. Pinsard, and A. Revcolevschi, Neutron-diffraction study of the Jahn-Teller transition in stoichiometric LaMnO3, Phys. Rev. B 57, R3189 (1998).
  10. J.-S. Zhou and J. B. Goodenough, Paramagnetic phase in single-crystal LaMnO3, Phys. Rev. B 60, R15002 (1999).
  11. X. Qiu, T. Proffen, J. F. Mitchell, and S. J. L. Billinge, Orbital correlations in the pseudocubic O and rhombohedral R phases of LaMnO3, Phys. Rev. Lett. 94, 177203 (2005).
  12. M. R. Ahmed and G. A. Gehring, Volume collapse in LaMnO3 studied using an anisotropic Potts model, Phys. Rev. B 79, 174106 (2009).
  13. B. Jiang, J. Neu, D. Olds, S. A. J. Kimber, K. Page, and T. Siegrist, The curious case of the structural phase transition in SnSe insights from neutron total scattering, Nat. Commun. 14, 3211 (2023).
  14. A. R. Genreith-Schriever, A. Alexiu, G. S. Phillips, C. S. Coates, L. A. V. Nagle-Cocco, J. D. Bocarsly, F. N. Sayed, S. E. Dutton, and C. P. Grey, Jahn–Teller distortions and phase transitions in LiNiO2: Insights from ab initio molecular dynamics and variable-temperature X-ray diffraction, Chem. Mater. 36, 2289 (2024).
  15. L. A. V. Nagle-Cocco, A. R. Genreith-Schriever, J. M. A. Steele, C. Tacconis, J. D. Bocarsly, O. Mathon, J. C. Neuefeind, J. Liu, C. A. O'Keefe, A. L. Goodwin, C. P. Grey, J. S. O. Evans, and S. E. Dutton, Displacive Jahn–Teller transition in NaNiO2, J. Am. Chem. Soc. 146, 29560 (2024).
  16. E. Pavarini and E. Koch, Origin of Jahn-Teller distortion and orbital order in LaMnO3, Phys. Rev. Lett. 104, 086402 (2010).
  17. M. C. Sánchez, G. Subías, J. García, and J. Blasco, Cooperative Jahn-Teller phase transition in LaMnO3 studied by X-ray absorption spectroscopy, Phys. Rev. Lett. 90, 045503 (2003).
  18. Y. Murakami, J. P. Hill, D. Gibbs, M. Blume, I. Koyama, M. Tanaka, H. Kawata, T. Arima, Y. Tokura, K. Hirota, and Y. Endoh, Resonant X-ray scattering from orbital ordering in LaMnO3, Phys. Rev. Lett. 81, 582 (1998).
  19. P. M. M. Thygesen, C. A. Young, E. O. R. Beake, F. D. Romero, L. D. Connor, T. E. Proffen, A. E. Phillips, M. G. Tucker, M. A. Hayward, D. A. Keen, and A. L. Goodwin, Local structure study of the orbital order/disorder transition in LaMnO3, Phys. Rev. B 95, 174107 (2017).
  20. M. M. Schmitt, Y. Zhang, A. Mercy, and P. Ghosez, Electron-lattice interplay in LaMnO3 from canonical Jahn-Teller distortion notations, Phys. Rev. B 101, 214304 (2020).
  21. Z. Li, J. R. Kermode, and A. De Vita, Molecular dynamics with on-the-fly machine learning of quantum-mechanical forces, Phys. Rev. Lett. 114, 096405 (2015).
  22. R. Jinnouchi, J. Lahnsteiner, F. Karsai, G. Kresse, and M. Bokdam, Phase transitions of hybrid perovskites simulated by machine-learning force fields trained on the fly with Bayesian inference, Phys. Rev. Lett. 122, 225701 (2019).
  23. T. K. Stenczel, Z. El-Machachi, G. Liepuoniute, J. D. Morrow, A. P. Bartók, M. I. J. Probert, G. Csányi, and V. L. Deringer, Machine-learned acceleration for molecular dynamics in CASTEP, J. Chem. Phys. 159, 044803 (2023).
  24. X. Liang, J. Klarbring, W. J. Baldwin, Z. Li, G. Csányi, and A. Walsh, Structural dynamics descriptors for metal halide perovskites, J. Phys. Chem. C 127, 19141 (2023).
  25. Z. El-Machachi, D. Frantzov, A. Nijamudheen, T. Zarrouk, M. A. Caro, and V. L. Deringer, Accelerated first-principles exploration of structure and reactivity in graphene oxide, Angew. Chem. Int. Ed. 63, e202410088 (2024).
  26. T. Jansen, G. Brocks, and M. Bokdam, Phase transitions of LaMnO3 and SrRuO3 from DFT+U based machine learning force fields simulations, Phys. Rev. B 108, 235122 (2023).
  27. S. Batzner, A. Musaelian, L. Sun, M. Geiger, J. P. Mailoa, M. Kornbluth, N. Molinari, T. E. Smidt, and B. Kozinsky, E(3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials, Nat. Commun. 13, 2453 (2022).
  28. The model was trained with three message-passing layers, each with 32 features and a radial cutoff of 6.0 Å. Energy and force losses were weighted 1:1 and all other parameters were kept as is from the default NequIP configuration file, https://github.com/mir-group/nequip.
  29. https://github.com/Batbodoo/LaMnO3-data.
  30. A. P. Thompson, H. M. Aktulga, R. Berger, D. S. Bolintineanu, W. M. Brown, P. S. Crozier, P. J. in 't Veld, A. Kohlmeyer, S. G. Moore, T. D. Nguyen, R. Shan, M. J. Stevens, J. Tranchida, C. Trott, and S. J. Plimpton, LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales, Comput. Phys. Commun. 271, 108171 (2022).
  31. F. L. Johansen, A. S. Anker, U. Friis-Jensen, E. B. Dam, K. M. Ø. Jensen, and R. Selvan, A GPU-accelerated open-source Python package for calculating powder diffraction, small-angle-, and total scattering with the Debye scattering equation, J. Open Source Softw. 9, 6024 (2024).
  32. M. O'Keeffe and B. G. Hyde, Some structures topologically related to cubic perovskite (E21), ReO3 (D09) and Cu3Ag (L12), Acta Crystallogr. Sect. B: Struct. Sci. 33, 3802 (1977).
  33. T. G. Parsons, H. D'Hondt, J. Hadermann, and M. A. Hayward, Synthesis and structural characterization of La1−xAxMnO2.5 (A = Ba, Sr, Ca) phases: Mapping the variants of the Brownmillerite structure, Chem. Mater. 21, 5527 (2009).
  34. A. Sartbaeva, S. A. Wells, M. F. Thorpe, E. S. Božin, and S. J. L. Billinge, Geometric simulation of perovskite frameworks with Jahn-Teller distortions: applications to the cubic manganites, Phys. Rev. Lett. 97, 065501 (2006).
  35. A. Sartbaeva, S. A. Wells, M. F. Thorpe, E. S. Božin, and S. J. L. Billinge, Quadrupolar ordering in LaMnO3 revealed from scattering data and geometric modeling, Phys. Rev. Lett. 99, 155503 (2007).
  36. J. He and C. Franchini, Screened hybrid functional applied to 3d0→3d8 transition-metal perovskites LaMO3(M=Sc−Cu): Influence of the exchange mixing parameter on the structural, electronic, and magnetic properties, Phys. Rev. B 86, 235117 (2012).
  37. P. Rivero, V. Meunier, and W. Shelton, Electronic, structural, and magnetic properties of LaMnO3 phase transition at high temperature, Phys. Rev. B 93, 024111 (2016).
  38. A. Stukowski, Visualization and analysis of atomistic simulation data with OVITO–the open visualization tool, Modelling Simul. Mater. Sci. Eng. 18, 015012 (2010).
  39. E. Fransson, M. Slabanja, P. Erhart, and G. Wahnström, dynasor—a tool for extracting dynamical structure factors and current correlation functions from molecular dynamics simulations, Adv. Theor. Simul. 4, 2000240 (2021).
  40. E. Berger, E. Fransson, F. Eriksson, E. Lindgren, G. Wahnström, T. H. Rod, and P. Erhart, Dynasor 2: From simulation to experiment through correlation functions, Comput. Phys. Commun. 316, 109759 (2025).
  41. U. D. Wdowik, M. M. Koza, and T. Chatterji, Phonons in lanthanum manganite: Inelastic neutron scattering and density functional theory studies, Phys. Rev. B 86, 174305 (2012).
  42. A. P. Scott and L. Radom, Harmonic vibrational frequencies: An evaluation of Hartree-Fock, Møller-Plesset, quadratic configuration interaction, density functional theory, and semiempirical scale factors, J. Phys. Chem. 100, 16502 (1996).
  43. B. Deng, Y. Choi, P. Zhong, J. Riebesell, S. Anand, Z. Li, K. Jun, K. A. Persson, and G. Ceder, Systematic softening in universal machine learning interatomic potentials, npj Comput. Mater. 11, 9 (2025).
  44. L. A. V. Nagle-Cocco and S. E. Dutton, Van Vleck analysis of angularly distorted octahedra using VanVleckCalculator, J. Appl. Crystallogr. 57, 20 (2024).
  45. M. R. Ahmed and G. A. Gehring, Potts model for the distortion transition in LaMnO3, Phys. Rev. B 74, 014420 (2006).
  46. M. Paściak, T. R. Welberry, J. Kulda, S. Leoni, and J. Hlinka, Dynamic displacement disorder of cubic BaTiO3, Phys. Rev. Lett. 120, 167601 (2018).
  47. E. S. Božin, C. D. Malliakas, P. Souvatzis, T. Proffen, N. A. Spaldin, M. G. Kanatzidis, and S. J. L. Billinge, Entropically stabilized local dipole formation in lead chalcogenides, Science 330, 1660 (2010).
  48. O. Delaire, J. Ma, K. Marty, A. F. May, M. A. McGuire, M.-H. Du, D. J. Singh, A. Podlesnyak, G. Ehlers, M. D. Lumsden, and B. C. Sales, Giant anharmonic phonon scattering in PbTe, Nat. Mater. 10, 614 (2011).
  49. B. Sangiorgio, E. S. Bozin, C. D. Malliakas, M. Fechner, A. Simonov, M. G. Kanatzidis, S. J. L. Billinge, N. A. Spaldin, and T. Weber, Correlated local dipoles in PbTe, Phys. Rev. Mater. 2, 085402 (2018).
  50. K. M. Ø. Jensen, E. S. Božin, C. D. Malliakas, M. B. Stone, M. D. Lumsden, M. G. Kanatzidis, S. M. Shapiro, and S. J. L. Billinge, Lattice dynamics reveals a local symmetry breaking in the emergent dipole phase of PbTe, Phys. Rev. B 86, 085313 (2012).
  51. L. Celiberti, A. Ehrentraut, L. Leoni, and C. Franchini, Machine learning the order–disorder Jahn–Teller transition in LaMnO3, J. Chem. Phys. 164, 174703 (2026).
  52. A. Richards, University of Oxford Advanced Research Computing, Zenodo, 2015, DOI:10.5281/zenodo.22558

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation