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We consider Bloch electrons in the presence of the uniform electromagnetic field in two- and three-dimensions. It is renowned that the quantized Hall effect occurs in such systems. We suppose a weak and homogeneous electric field…

介观与纳米尺度物理 · 物理学 2009-11-07 J. Goryo , M. Kohmoto

In this work, we derive a generalized constitutive relation describing the current response to external electromagnetic fields in electrically biased quantum materials. While our semiclassical Boltzmann approach reveals the existence of…

介观与纳米尺度物理 · 物理学 2024-08-07 D. J. P. de Sousa , C. O. Ascencio , Tony Low

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…

介观与纳米尺度物理 · 物理学 2009-11-07 J. Goryo , M. Kohmoto

We provide a unified semiclassical theory for thermoelectric responses of any observable represented by an operator $\hat{\boldsymbol{\theta}}$ that is well-defined in periodic crystals. The Einstein and Mott relations are established…

介观与纳米尺度物理 · 物理学 2020-02-14 Liang Dong , Cong Xiao , Bangguo Xiong , Qian Niu

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…

介观与纳米尺度物理 · 物理学 2010-12-01 Di Xiao , Ming-Che Chang , Qian Niu

We investigate the geometric phase or Berry phase of adiabatic quantum evolution in an atom-molecule conversion system, and find that the Berry phase in such system consists of two parts: the usual Berry connection term and a novel term…

量子气体 · 物理学 2015-05-13 Li-Bin Fu , Jie Liu

Applying adiabatic, cyclic two parameter modulations we investigate quantum heat transfer across an anharmonic molecular junction contacted with two heat baths. We demonstrate that the pumped heat typically exhibits a Berry phase effect in…

介观与纳米尺度物理 · 物理学 2010-05-03 Jie Ren , Peter Hänggi , Baowen Li

Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples is the Berry phase (M.V. Berry (1984), Proc. Royal. Soc.…

统计力学 · 物理学 2012-05-11 V. Gritsev , A. Polkovnikov

The Berry phase acquired by an electromagnetic field undergoing an adiabatic and cyclic evolution in phase space is a purely quantum-mechanical effect of the field. However, this phase is usually accompanied by a dynamical contribution and…

量子物理 · 物理学 2012-03-05 Shi-Biao Zheng

We study the magnetic Bloch oscillations performed by a quantum particle moving in a two-dimensional lattice in the presence of a strong (synthetic) magnetic field and a uniform force. An elementary derivation of the Berry curvature effect…

量子气体 · 物理学 2013-07-25 Marco Cominotti , Iacopo Carusotto

We propose a Berry phase effect on the chiral degrees of freedom of a triangular magnetic molecule. The phase is induced by adiabatically varying an external electric field in the plane of the molecule via a spin-electric coupling mechanism…

量子物理 · 物理学 2016-12-22 Vahid Azimi Mousolou , Carlo M. Canali , Erik Sjöqvist

We consider area-preserving deformations of the plane, acting on electronic wavefunctions through "quantomorphisms" that change both the underlying metric and the confining potential. We show that adiabatic sequences of such transformations…

介观与纳米尺度物理 · 物理学 2023-10-11 Blagoje Oblak , Benoit Estienne

Electric polarization or transferred charge due to an adiabatic change of external parameters $\vec{Q}$ is expressed in terms of a vector field defined in the $\vec{Q}$ space. This vector field is characterized by strings, i.e.,…

材料科学 · 物理学 2009-11-10 Shigeki Onoda , Shuichi Murakami , Naoto Nagaosa

We show, within QED and other possible nonlinear theories, that a static charge localized in a finite domain of space becomes a magnetic dipole, if it is placed in an external (constant and homogeneous) magnetic field in the vacuum. The…

高能物理 - 理论 · 物理学 2014-04-25 T. C. Adorno , D. M. Gitman , A. E. Shabad

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…

超导电性 · 物理学 2015-06-24 Jun Goryo , Mahito Kohmoto

Variations of polarization of the electronic field is a dielectric property quantified by Resta et al. and discovered to be a Berry phase of the electronic subsystem. In order to continue the previous research we wrote a scalar phase \Phi…

材料科学 · 物理学 2008-03-21 Simone Selenu

Motivated by a recent proposal on the possibility of observing a monopole in the band structure, and by an increasing interest on the role of Berry phase in spintronics, we studied the adiabatic motion of a wave packet of Bloch functions,…

介观与纳米尺度物理 · 物理学 2010-04-05 Ryuichi Shindou , Ken-Ichiro Imura

The Berry curvature of a Bloch band can be interpreted as a local magnetic field in reciprocal space. This analogy can be extended by defining an electric field analog in reciprocal space which arises from the time-dependent Berry…

量子气体 · 物理学 2018-09-12 Swati Chaudhary , Manuel Endres , Gil Refael

We analytically investigate a non-equilibrium quantum pumping for a single quantum dot connected to external leads on the basis of the quantum master equation (QME). We show that the Coulomb interaction associated with the spin effect in…

介观与纳米尺度物理 · 物理学 2013-12-16 Ryosuke Yoshii , Hisao Hayakawa

Recent theoretical calculations, demonstrating that quantized charge transfer due to adiabatically modulated potentials in mesoscopic devices can result purely from the interference of the electron wave functions (without invoking…

介观与纳米尺度物理 · 物理学 2015-06-24 O. Entin-Wohlman , A. Aharony , V. Kashcheyevs
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