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The propagation of electromagnetic waves in unmagnetized periodic plasma media is studied using the semiclassical wave packet approximation. The formalism gives rise to Berry effect terms in the equation of motion. The Berry effect…

Soft Condensed Matter · Physics 2024-02-28 Reza Torabi

We study the polarization transport of transverse phonons by adopting a new approach based on the quantum mechanics of spin-orbit interactions. This approach has the advantage of being apt for incorporating fluctuations in the system. The…

Mathematical Physics · Physics 2011-07-04 Mohammad Mehrafarin , Reza Torabi

We carry out a detailed analysis of the short-wave (semiclassical) approximation for the linear equations of the elasticity in a smoothly inhomogeneous isotropic medium. It is shown that the polarization properties of the transverse waves…

Other Condensed Matter · Physics 2008-11-26 K. Yu. Bliokh , V. D. Freilikher

The propagation of electromagnetic waves in an unmagnetized weakly inhomogeneous cold plasma is examined. We show that the inhomogeneity induces a gauge connection term in wave equation, which gives rise to Berry effects in the dynamics of…

Plasma Physics · Physics 2015-06-05 Reza Torabi , Mohammad Mehrafarin

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

We derive the semiclassical equation of motion for the wave-packet of light taking into account the Berry curvature in the momentum space. This equation naturally describes the interplay between the orbital and spin angular momenta, i.e.,…

Other Condensed Matter · Physics 2009-11-10 Masaru Onoda , Shuichi Murakami , Naoto Nagaosa

It has been recently found that the equations of motion of several semiclassical systems must take into account anomalous velocity terms arising from Berry phase contributions. Those terms are for instance responsible for the spin Hall…

High Energy Physics - Theory · Physics 2008-12-18 Pierre Gosselin , Alain Berard , Herve Mohrbach

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Basu , P. Bandyopadhyay

In weakly inhomogeneous media, Maxwell equations assume a Dirac-like form that is particularly apt for the study of paraxial propagation. Using this form, and via the Foldy-Wouthuysen transformation technique of the Dirac equation, we study…

Mathematical Physics · Physics 2015-05-18 M. Mehrafarin , H. Balajani

We develop a semiclassical theory of nonlinear transport and the photogalvanic effect in non-centrosymmetric media. We show that terms in semiclassical kinetic equations for electron motion which are associated with the Berry curvature and…

Mesoscale and Nanoscale Physics · Physics 2009-04-14 E. Deyo , L. E. Golub , E. L. Ivchenko , B. Spivak

It has been recently found that the equations of motion of several semiclassical systems must take into account terms arising from Berry phases contributions. Those terms are responsible for the spin Hall effect in semiconductor as well as…

High Energy Physics - Theory · Physics 2008-11-26 Pierre Gosselin , Alain Bérard , Herve Mohrbach

Ever since its discovery, the Berry phase has permeated through all branches of physics. Over the last three decades, it was gradually realized that the Berry phase of the electronic wave function can have a profound effect on material…

Mesoscale and Nanoscale Physics · Physics 2010-12-01 Di Xiao , Ming-Che Chang , Qian Niu

We present a unified theory for wave-packet dynamics of electrons in crystals subject to perturbations varying slowly in space and time. We derive the wave-packet energy up to the first order gradient correction and obtain all kinds of…

Condensed Matter · Physics 2009-10-31 Ganesh Sundaram , Qian Niu

We investigate the propagation of electromagnetic waves through materials displaying a non-linear Hall effect. The coupled Maxwell-Boltzmann equations for traveling waves can be mapped onto ordinary differential equations that resemble…

Mesoscale and Nanoscale Physics · Physics 2024-12-06 Falko Pientka , Inti Sodemann Villadiego

It is well-known that Dirac particles gain geometric phase, namely Berry phase, while moving in an electromagnetic field. Researchers have already shown covariant formalism for the Berry connection due to an electromagnetic field. A similar…

General Relativity and Quantum Cosmology · Physics 2022-12-12 Achal Kumar , Banibrata Mukhopadhyay

We review the geometrical-optics evolution of an electromagnetic wave propagating along a curved ray trajectory in a gradient-index dielectric medium. A Coriolis-type term appears in Maxwell equations under transition to the rotating…

Optics · Physics 2009-09-19 Konstantin Y. Bliokh

Berry phases strongly affect the properties of crystalline materials, giving rise to modifications of the semiclassical equations of motion that govern wave-packet dynamics. In non-Hermitian systems, generalizations of the Berry connection…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Navot Silberstein , Jan Behrends , Moshe Goldstein , Roni Ilan

We consider the propagation of light in arbitrarily curved step-index optical fibers. Using a multiple-scales approximation scheme, set-up in Fermi normal coordinates, the full vectorial Maxwell equations are solved in a perturbative…

Optics · Physics 2023-06-02 Thomas Mieling , Marius A. Oancea

We consider the adiabatic evolution of the Dirac equation in order to compute its Berry curvature in momentum space. It is found that the position operator acquires an anomalous contribution due to the non Abelian Berry gauge connection…

High Energy Physics - Theory · Physics 2016-08-16 Alain Bérard , Herve Mohrbach

Berry phases have long been known to significantly alter the properties of periodic systems, resulting in anomalous terms in the semiclassical equations of motion describing wave-packet dynamics. In non-Hermitian systems, generalizations of…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Bar Alon , Roni Ilan , Moshe Goldstein
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