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The effect of electric field, applied on systems in the nanoscale regime has attracted a lot of research in recent times. We highlight some of the recent results in the field of single molecule electronics and then move on to focus on some…

Materials Science · Physics 2008-10-11 S. Lakshmi , Sudipta Dutta , Swapan K. Pati

We present a semiclassical theory for electron drag between two parallel two-dimensional electron systems in a strong magnetic field, which provides a transparent picture of the most salient qualitative features of anomalous drag phenomena…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sergej Brener , Walter Metzner

Boundary dependent corrections to the spin energy eigenvalues of an electron in a weak magnetic field and confined by a harmonic trapping potential are investigated. The electromagnetic field is quantized through a normal mode expansion…

Quantum Physics · Physics 2014-04-17 Robert Bennett , Claudia Eberlein

The anomalous Hall conductivity of "dirty" ferromagnetic metals is dominated by a Berry-phase contribution which is usually interpreted as an intrinsic property of the Bloch electrons in the pristine crystal. In this work we evaluate the…

Materials Science · Physics 2015-12-25 Raffaello Bianco , Raffaele Resta , Ivo Souza

The topological properties of a material's electronic structure are encoded in its Berry curvature, a quantity which is intimately related to the transverse electrical conductivity. In transition metal dichalcogenides with broken inversion…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Fei Xue , V. P. Amin , P. M. Haney

We show that when the electron and hole densities are unbalanced, observable nonlinear anomalous Hall effect and current-induced orbital magnetization appear at zero magnetic field in the weak charge ordering (CO) state of an organic…

Strongly Correlated Electrons · Physics 2020-10-21 Toshihito Osada , Andhika Kiswandhi

We comment on the relation between Berry phase and quantized Hall conductivities for charge and spin currents in some Bloch states, such as Bloch electrons in the presence of electromagnetic fields and quasiparticles in the vortex states of…

Superconductivity · Physics 2015-06-24 Jun Goryo , Mahito Kohmoto

The shift in Aharanov-Bohm electron-interference fringe positions has been previously derived as resulting from phase differences induced by the magnetic vector potential, without being clear on the physical mechanism behind it. In this…

Quantum Physics · Physics 2019-12-05 Keith J. Kasunic

We consider Bloch electrons in the electromagnetic field and argue the relation between the Berry phase and the quantized Hall conductivity in three-dimension. The Berry phase we consider here is induced by the adiabatic change of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Goryo , M. Kohmoto

We develop a comprehensive theory for the effective dynamics of Bloch electrons based on symmetry. We begin with a scheme to systematically derive the irreducible representations (IRs) characterizing the Bloch functions. Starting from a…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 E. A. Fajardo , R. Winkler

Classical electromagnetic forces can account for the experimentally observed phase shifts seen in an electron interference pattern when a line of electric dipoles or a line of magnetic dipoles (a solenoid) is placed between the electron…

Quantum Physics · Physics 2007-05-23 Timothy H. Boyer

Due to spin-orbit coupling, the adiabatic perturbation of an electron's orbital motion induced by a revolving external electric field lead to the electron spin-precession. The obtained results describe both transverse and longitudinal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yuri Serebrennikov

When a conduction electron couples with a non-coplanar localized magnetic moment, the realspace Berry curvature is exerted to cause the geometrical Hall effect, which is not simply proportional to the magnetization. So far, it has been…

We have studied the spin dependent force and the associated momentum space Berry curvature in an accelerating system. The results are derived by taking into consideration the non relativistic limit of a generally covariant Dirac equation…

Mesoscale and Nanoscale Physics · Physics 2013-01-24 Debashree Chowdhury , B. Basu

Using the Keldysh technique, we derive a set of quasiclassical equations for Bloch electrons in noncentrosymmetric crystals upon excitation with quasimonochromatic radiation in the presence of external electrical and magnetic fields. These…

Mesoscale and Nanoscale Physics · Physics 2021-05-28 Dieter Hornung , Ralph von Baltz

Circularly polarized photons have the Berry curvature in the semiclassical regime. Based on the kinetic equation for such chiral photons, we derive the (non)equilibrium expression of the photon current in the direction of the vorticity. We…

High Energy Physics - Theory · Physics 2017-10-09 Naoki Yamamoto

We consider a two-dimensional electron gas with Rashba's spin-orbit interaction and two in-plane potentials superimposed along directions perpendicular to each other. The first of these potentials is assumed to be a general periodic…

Mesoscale and Nanoscale Physics · Physics 2007-09-19 S. Smirnov , D. Bercioux , M. Grifoni

We give a derivation for the indirect interaction between two magnetic dipoles induced by the quantized electromagnetic field. It turns out that the interaction between permanent dipoles directly returns to the classical form; the…

Quantum Physics · Physics 2018-01-19 Jiaxuan Wang , Hui Dong , Sheng-Wen Li

The chirality of electronic Bloch bands is responsible for many intriguing properties of layered two-dimensional materials. We show that in bilayers of transition metal dichalcogenides (TMDCs), unlike in few-layer graphene and monolayer…

Mesoscale and Nanoscale Physics · Physics 2018-07-09 Andor Kormányos , Viktor Zólyomi , Vladimir I. Fal'ko , Guido Burkard

Formulas for the contribution of the conduction electrons to the polarization and magnetization are derived for disordered systems and within a one-particle framework. These results generalize known formulas for Bloch electrons and the…

Mathematical Physics · Physics 2014-01-10 Hermann Schulz-Baldes , Stefan Teufel
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