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We study the connection between Berry phases and quantum phase transitions of generic quantum many-body systems. Consider sequences of Berry phases associated to sequences of loops in the parameter space whose limit is a point. If the…

量子物理 · 物理学 2007-05-23 Alioscia Hamma

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 propose a topological quantum phase transition for quantum states with different Berry phases in hole-doped III-V semiconductor quantum wells with bulk and structure inversion asymmetry. The Berry phase of the occupied Bloch states can…

介观与纳米尺度物理 · 物理学 2007-08-09 Bin Zhou , Chao-Xing Liu , Shun-Qing Shen

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

介观与纳米尺度物理 · 物理学 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

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

Symmetry protected quantization of the Berry phase is discussed in relation to edge states. Assuming an existence of some adiabatic process which protects quantization of the Berry phase, non trivial Berry phase $\gamma=\pm 2\pi\rho$…

强关联电子 · 物理学 2015-01-30 Toshikaze Kariyado , Yasuhiro Hatsugai

The linear and nonlinear Hall effects in 2D systems are considered theoretically within the isotropic k-cubed Rashba model. We show that the presence of an out-of-plane external magnetic field or net magnetization is a necessary condition…

介观与纳米尺度物理 · 物理学 2024-04-12 A. Krzyzewska , A. Dyrdal

A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic potential. The asymptotic parameter is 1/T, where $T\gg1$ is…

数学物理 · 物理学 2009-11-11 F. N. Litvinets , A. V. Shapovalov , A. Yu. Trifonov

The Aharonov-Bohm effect is a physical phenomenon where the vector potential induces a phase shift of electron wavepackets in regions with zero magnetic fields. It is often referred to as evidence for the physical reality of the vector…

介观与纳米尺度物理 · 物理学 2025-06-26 Francesco Di Colandrea , Nazanin Dehghan , Filippo Cardano , Alessio D'Errico , Ebrahim Karimi

Berry curvature does not show itself in the relative phase correlation of wave-functions at different spatial points in a metal unless the fermions have closed trajectories in momentum space, for example those around isolated impurities.…

强关联电子 · 物理学 2026-01-21 Chandra M. Varma

It is shown that Berry's phase associated with the adiabatic change of local variables in the Hamiltonian can be used to characterize the multimode Peierls state, which has been proposed as a new type of the ground state of the…

统计力学 · 物理学 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Chiduru Watanabe

We argue that the static non-linear Hall conductivity can always be represented as a vector in two-dimensions and as a pseudo-tensor in three-dimensions independent of its microscopic origin. In a single band model with a constant…

介观与纳米尺度物理 · 物理学 2019-12-05 Snehasish Nandy , Inti Sodemann

The observation of a Hall effect, a finite transverse voltage induced by a longitudinal current, usually requires the breaking of time-reversal symmetry, for example through the application of an external magnetic field or the presence of…

介观与纳米尺度物理 · 物理学 2024-11-15 Patrick W. Krantz , Alexander Tyner , Pallab Goswami , Venkat Chandrasekhar

The Berry phase of Bloch states can have profound effects on electron dynamics lead to novel transport phenomena, such as the anomalous Hall effect and the valley Hall effect. Recently, it was predicted that the Berry phase effect can also…

We propose a method for analyzing Berry phase for a multi-qubit system of superconducting charge qubits interacting with a microwave field. By suitably choosing the system parameters and precisely controlling the dynamics, novel connection…

量子物理 · 物理学 2015-05-13 Mahmoud Abdel-Aty

We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear optical medium, coupled to a single-mode quantized…

量子物理 · 物理学 2020-06-12 C. A. Estrada Guerra , J. Mahecha-Gómez , J. G. Hirsch

Recently it has been suggested that the complicated temperature dependence of the extraordinary Hall effect (EHE) in the itinerant ferromagnet SrRuO3 could be explained by the Berry phase effect in the crystal momentum space. We test this…

材料科学 · 物理学 2009-11-10 Yevgeny Kats , Isaschar Genish , Lior Klein , James W. Reiner , M. R. Beasley

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…

介观与纳米尺度物理 · 物理学 2018-07-09 Andor Kormányos , Viktor Zólyomi , Vladimir I. Fal'ko , Guido Burkard

We consider the electron transport through a single molecule magnet transistor in the presence of a local transverse magnetic field and ac-driven gate voltage. We calculate the conductance as a function of the electron energy and transverse…

介观与纳米尺度物理 · 物理学 2026-05-19 Gabriel Gonzalez

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…

介观与纳米尺度物理 · 物理学 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu