title: Field-induced percolation of polar nanoregions in relaxor ferroelectrics.
abstract: A first-principles-based effective Hamiltonian is used to investigate low-temperature properties of Ba(Zr,Ti)O(3) relaxor ferroelectrics under an increasing dc electric field. This system progressively develops an electric polarization that is highly nonlinear with the dc field. This development leads to a maximum of the static dielectric response at a critical field, E(th), and involves four different field regimes. Each of these regimes is associated with its own behavior of polar nanoregions, such as shrinking, flipping, and elongation of dipoles or change in morphology. The clusters propagating inside the whole sample, with dipoles being parallel to the field direction, begin to form at precisely the E(th) critical field. Such a result, and further analysis we perform, therefore, reveal that field-induced percolation of polar nanoregions is the driving mechanism for the transition from the relaxor to ferroelectric state.
authors.affiliation: Physics Department and Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, Arkansas 72701, USA and Physics Department and Institute of Physics, South Federal University, Rostov on Don, Russia.
authors.forename: S
authors.initials: S
authors.lastname: Prosandeev
authors.affiliation: Electronic Materials Research Laboratory, Key Laboratory of the Ministry of Education and International Center for Dielectric Research, Xi'an Jiaotong University, Xi'an 710049, China.
authors.forename: Dawei
authors.initials: D
authors.lastname: Wang
authors.affiliation: Wiess School of Natural Sciences, Rice University, 6100 Main Street, MS-103, Houston, Texas 77005, USA.
authors.forename: A R
authors.initials: AR
authors.lastname: Akbarzadeh
authors.affiliation: Laboratoire Structures, Propriétés et Modélisation des Solides, CNRS-UMR 8580, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Châtenay-Malabry Cedex, France.
authors.forename: B
authors.initials: B
authors.lastname: Dkhil
authors.affiliation: Physics Department and Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, Arkansas 72701, USA.
authors.forename: L
authors.initials: L
authors.lastname: Bellaiche