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We extend a field theoretic approach for the investigation of the electronic charge-current density response of crystalline systems to arbitrary applied electromagnetic fields. The approach leads to the introduction of microscopic…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Perry T. Mahon , J. E. Sipe

Ionic crystals play a central role in functional applications. Mesoscale descriptions of these crystals are based on the continuum polarization density field to represent the effective physics of charge distribution at the scale of the…

Mesoscale and Nanoscale Physics · Physics 2024-06-28 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

Ionic crystals, such as solid electrolytes and complex oxides, are central to modern technologies for energy storage, sensing, actuation, and other functional applications. An important fundamental issue in the atomic and quantum-scale…

Materials Science · Physics 2026-02-12 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

We apply a microscopic theory of polarization and magnetization to crystalline insulators at zero temperature and consider the orbital electronic contribution of the linear response to spatially varying, time-dependent electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2021-11-08 Perry T. Mahon , J. E. Sipe

In clouds of suspended particles (grains, droplets, spheres, crystals, etc.), collisions electrify the particles and the clouds, producing large electric potential differences over large scales. This is seen most spectacularly in the…

Soft Condensed Matter · Physics 2017-07-28 Freja Nordsiek , Daniel P. Lathrop

The relation between microscopic and macroscopic entities in the generally covariant theories is considered, and it is argued that a sensible definition of the macroscopic averages requires a restriction of the allowed transformations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Antoci

A feature of the "modern theory" is that electric polarization is not well-defined in a metallic ground state. A different approach invokes the general existence of a complete set of exponentially localized Wannier functions, with respect…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 Perry T. Mahon , J. E. Sipe

A relationship is derived between differences in electric polarization between bands and the "shift vector" that controls part of a material's bulk photocurrent, then demonstrated in several models. Electric polarization has a quantized…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Benjamin M. Fregoso , Takahiro Morimoto , Joel E. Moore

The article presents an alternative approach to the definition of vector electrodynamic potential and its properties. It is shown that generally it has vortical and potential components. The system of differential equations of generalized…

General Physics · Physics 2009-09-29 A. K. Tomilin

We introduce microscopic polarization and magnetization fields at each site of an extended system, as well as free charge and current density fields associated with charge movement from site to site, by employing a lattice gauge approach…

Mesoscale and Nanoscale Physics · Physics 2019-06-21 Perry T. Mahon , Rodrigo A. Muniz , J. E. Sipe

Electrodynamics is usually written with a polarization vector field to describe the response of matter to electric fields, or more specifically, to describe changes in distribution of charge as an electric field is changed. This approach…

General Physics · Physics 2021-02-24 Robert S. Eisenberg

This work revisits the classical concept of electric energy and suggests that the common definition is likely to generate large errors when dealing with nanostructures. For instance, deriving the electrostatic energy in semiconductors using…

Classical Physics · Physics 2016-06-06 Jean-Michel Sallese

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

Despite the intrinsic coupling between electric and magnetic fields in random stationary light, their polarization properties are not mutually determined. A complete second-order description thus necessitates a joint electromagnetic…

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

The response of an infinite, periodic, insulating, solid to an infinitesimally small electric field is investigated in the framework of Density Functional Theory. We find that the applied perturbing potential is not a unique functional of…

mtrl-th · Physics 2016-09-07 X. Gonze , Ph. Ghosez , R. W. Godby , .

The difficulties with which the concept of point-like particles is beset, such as the infinities encountered in the existing theories of elementary particles, suggest a different approach to the study of these particles. Instead of…

General Physics · Physics 2011-07-25 Seyyed Mahmoud Hessaby

Based on the derivation of the macroscopic Maxwell's equations by spatial averaging of the microscopic equations, we discuss the electrophysiology of living organs. Other methods of averaging (or homogenization) like the bidomain model are…

Biological Physics · Physics 2010-06-18 Günter Scharf , Christoph Scharf

This study considers electronic transitions within donor-acceptor complexes dissolved in media with macroscopic polarization. The change of the polarizability of the donor-acceptor complex in the course of electronic transition couples to…

Soft Condensed Matter · Physics 2007-05-23 Dmitry V. Matyushov

A close examination of the Maxwell-Lorentz theory of electrodynamics reveals that polarization and magnetization of material media need not be treated as local averages over small volumes - volumes that nevertheless contain a large number…

Optics · Physics 2014-04-10 Masud Mansuripur
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