Développement du modèle d’ion polarisable pour la modélisation de BaTiO3

Abstract : Ferroelectric based compounds present a wide range of properties which are from great fundamental and industrial interest on nanoscale. Ferroelectric based compounds possesses strong coupling between polarization, stress, electric field and temperature and are nowadays already used in capacitors, memories, sensors, and actuators. In order to understand the relationship between microstructure and the outstanding properties, numerical methods able to simulate at nanoscale are disired. For this propose, the Polarizable Ion Model (PIM) is employed that treats the ions as polarizable species with nominal charge. In comparison to current modelisation techniques, the use of nominal charges should facilitate the inclusion of various materials composition and the study of defect and surface effects. The pametrization of the model is derived by a fit on ab initio DFT reference calculations. For a first step towards ferroelectric modelling with PIM, the focus lies on the developpment of an interaction potential for the prototyp ferroelectric BaTiO3. BaTiO3 presents a complex phase transition sequence (rhombohedral, orthorhombic, tetragonal, cubic) that is related to small energy differences of the order of some meV/formula unit. Thus, the development of a reliable interaction potential requires high precision and a correct description of the balance between short range and long range interactions. It has been demonstrated during this work that for an accurate representation of the short range forces asymmetric size effects of the electron cloud with respect to the nucleus would be necessary. As such size effects are not included in the PIM, compensation errors in the fitting procedure between short range and long range interactions are allowed in order to obtain the best global fit. The developed PIM model reproduces several zero temperature properties of BaTiO3. At finite temperature the PIM predicts the rhombohedral phase to be stable up to 160K. In the temperature range between 160K and 210K strong fluctuations in polarization and cell parameters are observed and no well-defined phase can be distinguished. From 210K on, the average paraelectric cubic phase is reached.
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Cintia Hartmann. Développement du modèle d’ion polarisable pour la modélisation de BaTiO3. Autre. Université Paris-Saclay, 2018. Français. ⟨NNT : 2018SACLC012⟩. ⟨tel-02144323⟩

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