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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 investigate the anomalous effects due to the Berry correction and the considerable perturbations in the silicene-like hexagonal lattice system. The Berry curvature in periodic Bloch band system which related to the electromagnetic field…

Mesoscale and Nanoscale Physics · Physics 2018-07-31 Chen-Huan Wu

We consider a two-dimensional particle of charge $e$ interacting with a homogeneous magnetic field perpendicular to the plane and a potential well which is transported along a closed loop in the plane. We show that a bound state…

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

Berry phases occur when a system adiabatically evolves along a closed curve in parameter space. This tutorial-like article focuses on Berry phases accumulated in real space. In particular, we consider the situation where an electron…

Strongly Correlated Electrons · Physics 2014-05-06 Karin Everschor-Sitte , Matthias Sitte

The voltage-controlled Berry phases in two vertically coupled InGaAs/GaAs quantum dots are investigated theoretically. It is found that Berry phases can be changed dramatically from 0 to 2$\pi$ (or 2$\pi$ to 0) only simply by turning the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Huan Wang , Ka-Di Zhu

A perturbation theory of the static response of insulating crystals to homogeneous electric fields, that combines the modern theory of polarization (MTP) with the variation-perturbation framework is developed, at unrestricted order of…

Materials Science · Physics 2009-11-07 R. W. Nunes , Xavier Gonze

In 1937 the Jahn-Teller (JT) effect addressed the instability (potential or actual) of non-linear symmetric molecules with degenerate orbital electronic states. In view of the large variety of JT activity that has taken place since then, we…

Other Condensed Matter · Physics 2007-05-23 R. Englman , A. Yahalom

Adiabatic time evolution of degenerate eigenstates of a quantum system provides a means for controlling electronic states since mixing between degenerate levels generates a matrix Berry phase. In the presence of spin-orbit coupling in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. -R. Eric Yang

The electron-phonon interaction in $C_{70}$ anions is studied by making use of a lattice relaxation approach. We find there exists a Jahn-Teller effect in $C_{70}^{3-}$ system, due to an extra electron being doped to the double degenerate…

Materials Science · Physics 2016-08-31 Lin Tian , Ya-Sha Yi , Chui-Lin Wang , Zhao-Bin Su

In this work, we propose a new design of an ion trap which can enable us to generate state specific Berry phase in a single trapped ion. Such a design will enable us to study the physics at the boundary of abelian and non-abelian symmetries…

Quantum Physics · Physics 2015-06-04 D. De Munshi , M. Mukherjee , B. Dutta-Roy

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

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

When conduction electrons are forced to follow the local spin texture, the resulting Berry phase can induce an anomalous Hall effect (AHE). In gadolinium, as in double-exchange magnets, the exchange interaction is mediated by the conduction…

Strongly Correlated Electrons · Physics 2009-11-10 S. A. Baily , M. B. Salamon

The usual, "static" version of the quantum Zeno effect consists in the hindrance of the evolution of a quantum systems due to repeated measurements. There is however a "dynamic" version of the same phenomenon, first discussed by von Neumann…

Quantum Physics · Physics 2007-05-23 P. Facchi , S. Pascazio

We present the first measurements of the Berry phase in a superconducting Cooper pair pump. A fixed amount of Berry phase is accumulated to the quantum-mechanical ground state in each adiabatic pumping cycle, which is determined by…

Superconductivity · Physics 2009-11-13 Mikko Mottonen , Juha J. Vartiainen , Jukka P. Pekola

The canonical commutation relations in quantum mechanics are not maintained in the anomalous Hall effect described by Berry's phase in the presence of the electromagnetic vector potential. To define quantum mechanical formulation, one may…

Strongly Correlated Electrons · Physics 2023-10-04 Kazuo Fujikawa , Koichiro Umetsu

The geometry of electronic bands in a solid can drastically alter single-particle charge and spin transport. We show here that collective optical excitations arising from Coulomb interactions also exhibit unique signatures of Berry…

Mesoscale and Nanoscale Physics · Physics 2015-07-16 Ajit Srivastava , Ataç Imamoğlu

The electronic topology is generally related to the Berry curvature, which can induce the anomalous Hall effect in time-reversal symmetry breaking systems. Intrinsic monolayer transition metal dichalcogenides possesses two nonequivalent K…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Mao-Sen Qin , Peng-Fei Zhu , Xing-Guo Ye , Wen-Zheng Xu , Zhen-Hao Song , Jing Liang , Kaihui Liu , Zhi-Min Liao

Finding new phase is a fundamental task in physics. Landau's theory explained the deep connection between symmetry breaking and phase transition commonly occurring in magnetic, superconducting and super uid systems. The discovery of the…

Mesoscale and Nanoscale Physics · Physics 2017-03-31 Xuele Liu , G. S. Agarwal

In the presence of spin-orbit coupling and inversion symmetry of the lateral confinement potential a single electron does not exhibit matrix Berry phases in quasi-two-dimensional semiconductor quantum dots. In such a system we investigate…

Mesoscale and Nanoscale Physics · Physics 2008-10-03 S. C. Kim , Y. J. Kim , P. S. Park , N. Y. Hwang , S. -R. Eric Yang