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We consider the relation between spin and the Berry-phase contribution to the anomalous velocity of massive and massless Dirac particles. We extend the Berry connection that depends only on the spatial components of the particle momentum to…

高能物理 - 理论 · 物理学 2015-01-14 Michael Stone , Vatsal Dwivedi , Tianci Zhou

We show that the geometric phase of the gyro-motion of a classical charged particle in a uniform time-dependent magnetic field described by Newton's equation can be derived from a coherent Berry phase for the coherent states of the…

等离子体物理 · 物理学 2017-02-28 Hongxuan Zhu , Hong Qin

We develop an effective field theory for a multi-orbital fermionic system using the method of coadjoint orbits for higher-dimensional bosonization. The dynamical bosonic fields are single-particle distribution functions defined on the phase…

强关联电子 · 物理学 2025-03-07 Mengxing Ye , Yuxuan Wang

The Berry phase is analyzed for Weyl and Dirac fermions in a phase space representation of the worldline formalism. Kinetic theories are constructed for both at a classical level. Whereas the Weyl fermion case reduces in dimension,…

高能物理 - 理论 · 物理学 2022-06-28 Patrick Copinger , Shi Pu

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

Berry phase is a very general concept. It is applied here to families of solutions of the Dirac equation with different values of spin. The value of the Berry phase in the spin space is given by the same expression as was found before in…

量子物理 · 物理学 2020-12-02 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

Berry phase for a spin--1/2 particle moving in a flat spacetime with torsion is investigated in the context of the Einstein-Cartan-Dirac model. It is shown that if the torsion is due to a dense polarized background, then there is a Berry…

广义相对论与量子宇宙学 · 物理学 2009-01-07 M. Alimohammadi , A. Shariati

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

By considering an extended double-exchange model with spin-orbit coupling (SOC), we derive a general form of the Berry phase $\gamma$ that electrons pick up when moving around a closed loop. This form generalizes the well-known result valid…

强关联电子 · 物理学 2020-01-29 Shang-Shun Zhang , Hiroaki Ishizuka , Hao Zhang , Gábor B. Halász , Cristian D. Batista

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

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…

高能物理 - 理论 · 物理学 2008-12-18 Pierre Gosselin , Alain Berard , Herve Mohrbach

Geometric phases are well known in classical electromagnetism and quantum mechanics since the early works of Pantcharatnam and Berry. Their origin relies on the geometric nature of state spaces and has been studied in many different systems…

量子物理 · 物理学 2009-11-07 A. Carollo , M. Franca Santos , V. Vedral

Geometric or Berry phases are fundamental manifestations that appear in many areas of physics. They arise from the geometry of the space describing the properties of multi-component wave fields. An important example for electromagnetic…

光学 · 物理学 2026-01-27 Aymeric Braud , Renaud Gueroult

Resorting to Berry's phase, a new idea to detect, at quantum level, the gravitomagnetic field of any metric theory of gravity, is put forward. It is found in this proposal that the magnitude of the gravitomagnetic field appears only in the…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Abel Camacho

Quantum mechanical phases arising from a periodically varying Hamiltonian are considered. These phases are derived from the eigenvalues of a stationary, ``dressed'' Hamiltonian that is able to treat internal atomic or molecular structure in…

原子与分子团簇 · 物理学 2015-05-14 Edmund R. Meyer , Aaron Leanhardt , Eric Cornell , John L. Bohn

The dynamical effects of topological charge in two-dimensional QED can be expressed in terms of a topological order parameter via a Berry phase construction. The Berry phase describes the electric charge polarization of the vacuum in a…

高能物理 - 理论 · 物理学 2015-03-18 H. B. Thacker , Gabriel Wong

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…

高能物理 - 理论 · 物理学 2016-08-16 Alain Bérard , Herve Mohrbach

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 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

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…

等离子体物理 · 物理学 2015-06-05 Reza Torabi , Mohammad Mehrafarin
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