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The state-of-the-art theoretical description of magnetic materials relies on solving effective Heisenberg spin problems or their generalizations to relativistic or multi-spin-interaction cases that explicitly assume the presence of local…

Strongly Correlated Electrons · Physics 2022-04-27 E. A. Stepanov , S. Brener , V. Harkov , M. I. Katsnelson , A. I. Lichtenstein

Based on the microscopic Maxwell equations, we develop a method of description of the electric field in a spontaneously polarized isotropic nonpolar dielectric. We find the solution for the electric field $\textbf{E}(\textbf{r})$ for…

Other Condensed Matter · Physics 2019-09-26 Maksim D. Tomchenko

It is nowadays a quite diffuse idea that variations of electronic polarisation, as introduced by Resta[1], in condensed matter theory are related to a "Berry phase"[2], as shown by Vanderbilt. The derivation of the latter geometric phase is…

Other Condensed Matter · Physics 2010-06-14 Simone Selenu

Mobile charge in an electrolytic solution can in principle be represented as the divergence of ionic polarization. After adding explicit solvent polarization a finite volume of electrolyte can then be treated as a composite non-uniform…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

Polarization in ferroelectrics, described by the Landau-Ginzburg Hamiltonian, is considered, based on a multi-dimensional Fokker-Planck equation. This formulation describes the time evolution of the probability distribution function over…

Statistical Mechanics · Physics 2015-06-24 J. Kaupuzs , J. Rimshans , N. F. Smyth

The dynamical effects of topological charge in two-dimensional QED can be expressed in terms of a topological order parameter via a Berry phase construction. The Berry phase describes the electric charge polarization of the vacuum in a…

High Energy Physics - Theory · Physics 2015-03-18 H. B. Thacker , Gabriel Wong

Ferroelectricity, a hallmark of spontaneous inversion-symmetry breaking, has been a central concept in condensed matter physics and functional materials research, yet recent discoveries are revealing that switchable polarization can emerge…

Materials Science · Physics 2026-05-11 Yudi Yang , Changming Ke , Shi Liu

We extend a path-integral approach to bosonization previously developed in the framework of equilibrium Quantum Field Theories, to the case in which time-dependent interactions are taken into account. In particular we consider a non…

High Energy Physics - Theory · Physics 2009-11-10 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

We present a continuum theory on statics and dynamics of polar fluids, where the orientational polarization ${\bi p}_1$ and the induced polarization ${\bi p}_2$ are governed by the Onsager directing field ${\bi E}_d$ and the Lorentz…

Soft Condensed Matter · Physics 2025-05-12 Akira Onuki

We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state…

Quantum Physics · Physics 2007-05-23 Pavel Exner , Vladimir A. Geyler

A conceptual problem of the electric-field mediated polarization correlations during a stochastic formation of polarization domain structure in ferroelectrics is addressed by using an exactly solvable stochastic model of polarization…

Materials Science · Physics 2023-10-05 Yuri A. Genenko , Olga Y. Mazur , Leonid I. Stefanovich

We have developed and implemented a formalism for computing the structural response of a periodic insulating system to a homogeneous static electric field within density-functional perturbation theory (DFPT). We consider the thermodynamic…

Materials Science · Physics 2009-12-18 Na Sai , Karin M. Rabe , David Vanderbilt

Electric field plays an important role in ferroelectric phase transition. There have been numerous phase field formulations attempting to account for electrostatic interactions subject to different boundary conditions. In this paper, we…

Computational Physics · Physics 2019-10-18 Qiang Du , Ruotai Li , Lei Zhang

We propose the construction of a set of quantum hydrodynamics equations for the Bose-Einstein condensate (BEC) where atoms have electric dipole moment (EDM). The contribution of the dipole-dipole interactions (DDI) to the Euler equation is…

Quantum Gases · Physics 2011-09-28 P. A. Andreev , L. S. Kuzmenkov

A pseudospin model for description of the influence of the electric field, confined to the plane of sublattice polarization, on the two-dimensional squaric acid antiferroelectrics is developed. The system behavior is analyzed in terms of…

Materials Science · Physics 2021-06-09 A. P. Moina

An original dispersion relation between the stationary coherent nonlinear optical responses by current and polarisation is obtained. The dispersion relation provides a new complimentary tool that can be employed to study light-induced…

Materials Science · Physics 2015-05-19 A. Pishtshev , N. Kristoffel

In the framework of the modern theory of polarization, we rigorously establish the microscopic nature of the electric displacement field D. In particular, we show that the longitudinal component of D is preserved at a coherent and…

Materials Science · Physics 2011-03-03 Massimiliano Stengel , David Vanderbilt

We study the adiabatic evolution of a two-level model in the presence of an external classical electric field. The coupling between the quantum model and the classical field is taken in the electric dipole approximation. In this regime, we…

Quantum Physics · Physics 2009-07-25 A. C. Aguiar Pinto , M. Moutinho , M. T. Thomaz

Recently, it has been established that Chern insulators possess an intrinsic two-dimensional electric polarization, despite having gapless edge states and non-localizable Wannier orbitals. This polarization, $\vec{P}_{\text{o}}$, can be…

Strongly Correlated Electrons · Physics 2025-12-05 Yuxuan Zhang , Maissam Barkeshli

We present quadratic dynamical invariant and evaluate Berry's phase for the time-dependent Schroedinger equation with the most general variable quadratic Hamiltonian.

Mathematical Physics · Physics 2011-08-26 Barbara Sanborn , Sergei K. Suslov , Luc Vinet