Perovskite Crystals: Unique Pseudo-Jahn–Teller Origin of Ferroelectricity, Multiferroicity, Permittivity, Flexoelectricity, and Polar Nanoregions

In a semi-review paper, we show that the local pseudo-Jahn–Teller effect (PJTE) in transition metal B ion center of ABO<sub>3</sub> perovskite crystals, notably BaTiO<sub>3</sub>, is the basis of all their main properties. The vibronic coupling between the ground and excited...

Full description

Bibliographic Details
Main Authors: Isaac B. Bersuker, Victor Polinger
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Condensed Matter
Subjects:
Online Access:https://www.mdpi.com/2410-3896/5/4/68
_version_ 1827703011444523008
author Isaac B. Bersuker
Victor Polinger
author_facet Isaac B. Bersuker
Victor Polinger
author_sort Isaac B. Bersuker
collection DOAJ
description In a semi-review paper, we show that the local pseudo-Jahn–Teller effect (PJTE) in transition metal B ion center of ABO<sub>3</sub> perovskite crystals, notably BaTiO<sub>3</sub>, is the basis of all their main properties. The vibronic coupling between the ground and excited electronic states of the local BO<sub>6</sub> center results in dipolar distortions, leading to an eight-well adiabatic potential energy surface with local tunneling or over-the-barrier transitions between them. The intercenter interaction between these dipolar dynamic units results in the formation of the temperature-dependent three ferroelectric and one paraelectric phases with order–disorder phase transitions. The local PJTE dipolar distortion is subject to the presence of sufficiently close in energy local electronic states with opposite parity but the same spin multiplicity, thus limiting the electronic structure and spin of the B(<inline-formula><math display="inline"><semantics><mrow><msup><mi>d</mi><mi>n</mi></msup></mrow></semantics></math></inline-formula>) ions that can trigger ferroelectricity. This allowed us to formulate the necessary conditions for the transition metal perovskites to possess both ferroelectric and magnetic (multiferroic) properties simultaneously. It clarifies the role of spin in the spontaneous polarization. We also show that the interaction between the independently rotating dipoles in the paraelectric phase may lead to a self-assembly process resulting in polar nanoregions and relaxor properties. Exploring interactions of PJTE ferroelectrics with external perturbations, we revealed a completely novel property—<i>orientational polarization in solids—</i>a phenomenon first noticed by P. Debye in 1912 as a possibility, which was never found till now. The hindered rotation of the local dipole moments and their ordering along an external field is qualitatively similar to the behavior of polar molecules in liquids, thus adding a new dimension to the properties of solids—notably, the perovskite ferroelectrics. We estimated the contribution of the orientational polarization to the permittivity and flexoelectricity of perovskite crystals in different limiting conditions.
first_indexed 2024-03-10T15:09:30Z
format Article
id doaj.art-e3c9f085816a49599aa64da347ba0636
institution Directory Open Access Journal
issn 2410-3896
language English
last_indexed 2024-03-10T15:09:30Z
publishDate 2020-11-01
publisher MDPI AG
record_format Article
series Condensed Matter
spelling doaj.art-e3c9f085816a49599aa64da347ba06362023-11-20T19:31:00ZengMDPI AGCondensed Matter2410-38962020-11-01546810.3390/condmat5040068Perovskite Crystals: Unique Pseudo-Jahn–Teller Origin of Ferroelectricity, Multiferroicity, Permittivity, Flexoelectricity, and Polar NanoregionsIsaac B. Bersuker0Victor Polinger1Department of Chemistry, University of Texas at Austin, Austin, TX 78712-1229, USADepartment of Chemistry, University of Washington, Seattle, WA 98195-1700, USAIn a semi-review paper, we show that the local pseudo-Jahn–Teller effect (PJTE) in transition metal B ion center of ABO<sub>3</sub> perovskite crystals, notably BaTiO<sub>3</sub>, is the basis of all their main properties. The vibronic coupling between the ground and excited electronic states of the local BO<sub>6</sub> center results in dipolar distortions, leading to an eight-well adiabatic potential energy surface with local tunneling or over-the-barrier transitions between them. The intercenter interaction between these dipolar dynamic units results in the formation of the temperature-dependent three ferroelectric and one paraelectric phases with order–disorder phase transitions. The local PJTE dipolar distortion is subject to the presence of sufficiently close in energy local electronic states with opposite parity but the same spin multiplicity, thus limiting the electronic structure and spin of the B(<inline-formula><math display="inline"><semantics><mrow><msup><mi>d</mi><mi>n</mi></msup></mrow></semantics></math></inline-formula>) ions that can trigger ferroelectricity. This allowed us to formulate the necessary conditions for the transition metal perovskites to possess both ferroelectric and magnetic (multiferroic) properties simultaneously. It clarifies the role of spin in the spontaneous polarization. We also show that the interaction between the independently rotating dipoles in the paraelectric phase may lead to a self-assembly process resulting in polar nanoregions and relaxor properties. Exploring interactions of PJTE ferroelectrics with external perturbations, we revealed a completely novel property—<i>orientational polarization in solids—</i>a phenomenon first noticed by P. Debye in 1912 as a possibility, which was never found till now. The hindered rotation of the local dipole moments and their ordering along an external field is qualitatively similar to the behavior of polar molecules in liquids, thus adding a new dimension to the properties of solids—notably, the perovskite ferroelectrics. We estimated the contribution of the orientational polarization to the permittivity and flexoelectricity of perovskite crystals in different limiting conditions.https://www.mdpi.com/2410-3896/5/4/68perovskite crystalsPseudo-Jahn-Teller effectferroelectricitymultiferroicitypermittivityflexoelectricity
spellingShingle Isaac B. Bersuker
Victor Polinger
Perovskite Crystals: Unique Pseudo-Jahn–Teller Origin of Ferroelectricity, Multiferroicity, Permittivity, Flexoelectricity, and Polar Nanoregions
Condensed Matter
perovskite crystals
Pseudo-Jahn-Teller effect
ferroelectricity
multiferroicity
permittivity
flexoelectricity
title Perovskite Crystals: Unique Pseudo-Jahn–Teller Origin of Ferroelectricity, Multiferroicity, Permittivity, Flexoelectricity, and Polar Nanoregions
title_full Perovskite Crystals: Unique Pseudo-Jahn–Teller Origin of Ferroelectricity, Multiferroicity, Permittivity, Flexoelectricity, and Polar Nanoregions
title_fullStr Perovskite Crystals: Unique Pseudo-Jahn–Teller Origin of Ferroelectricity, Multiferroicity, Permittivity, Flexoelectricity, and Polar Nanoregions
title_full_unstemmed Perovskite Crystals: Unique Pseudo-Jahn–Teller Origin of Ferroelectricity, Multiferroicity, Permittivity, Flexoelectricity, and Polar Nanoregions
title_short Perovskite Crystals: Unique Pseudo-Jahn–Teller Origin of Ferroelectricity, Multiferroicity, Permittivity, Flexoelectricity, and Polar Nanoregions
title_sort perovskite crystals unique pseudo jahn teller origin of ferroelectricity multiferroicity permittivity flexoelectricity and polar nanoregions
topic perovskite crystals
Pseudo-Jahn-Teller effect
ferroelectricity
multiferroicity
permittivity
flexoelectricity
url https://www.mdpi.com/2410-3896/5/4/68
work_keys_str_mv AT isaacbbersuker perovskitecrystalsuniquepseudojahntelleroriginofferroelectricitymultiferroicitypermittivityflexoelectricityandpolarnanoregions
AT victorpolinger perovskitecrystalsuniquepseudojahntelleroriginofferroelectricitymultiferroicitypermittivityflexoelectricityandpolarnanoregions