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We study Berry phase effects on conductance properties of diffusive mesoscopic conductors, which are caused by an electron spin moving through an orientationally inhomogeneous magnetic field. Extending previous work, we start with an exact,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hans-Andreas Engel , Daniel Loss

We address the controversy concerning the necessary conditions for the observation of Berry phases in disordered mesoscopic conductors. For this purpose we calculate the spin-dependent conductance of disordered two-dimensional structures in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Markus Popp , Diego Frustaglia , Klaus Richter

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

We investigate the effect of the environment on a Berry phase measurement involving a spin-half. We model the spin+environment using a biased spin-boson Hamiltonian with a time-dependent magnetic field. We find that, contrary to naive…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert S. Whitney , Yuval Gefen

Systematic effects caused by the Berry (geometric) phases in an electric-dipole-moment experiment in an all-electric storage ring are considered. We analyze the experimental setup when the spin is frozen and local longitudinal and vertical…

Nuclear Experiment · Physics 2018-01-26 Alexander J. Silenko

We have found a manifestation of spin-orbit Berry phase in the conductance of a mesoscopic loop with Rashba spin-orbit coupling placed in an external magnetic field perpendicular to the loop plane. In detail, the transmission probabilities…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Maxim P. Trushin , Alexander L. Chudnovskiy

We examine both quantum and classical versions of the problem of spin evolution in a slowly varying magnetic field. Main attention is given to the first- and second-order adiabatic corrections in the case of in-plane variations of the…

Quantum Physics · Physics 2008-11-26 K. Yu. Bliokh

The effect of fluctuations in the classical control parameters on the Berry phase of a spin 1/2 interacting with a adiabatically cyclically varying magnetic field is analyzed. It is explicitly shown that in the adiabatic limit dephasing is…

Quantum Physics · Physics 2009-11-10 Gabriele De Chiara , G. Massimo Palma

In this paper we define a non-dynamical phase for a spin-1/2 particle in a rotating magnetic field in the non-adiabatic non-cyclic case, and this phase can be considered as a generalized Berry phase. We show that this phase reduces to the…

Quantum Physics · Physics 2012-12-11 Siamak S. Gousheh , Azadeh Mohammadi , Leila Shahkarami

The energy eigenstates of a spin$-\frac{1}{2}$ particle in a magnetic field confined to a plane, define a planar spin. If the particle moves adiabatically around a loop in this plane, it picks up a topological Berry phase that can only be…

Quantum Physics · Physics 2017-11-22 Erik Sjöqvist

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…

General Relativity and Quantum Cosmology · Physics 2009-01-07 M. Alimohammadi , A. Shariati

We derive the general formula giving the Berry phase for an arbitrary spin, having both magnetic-dipole and electric-quadrupole couplings with external time-dependent fields. We assume that the effective E and B fields remain orthogonal…

Quantum Physics · Physics 2015-05-19 Marie-Anne Bouchiat , Claude Bouchiat

A theoretical model of transmission and reflection of an electron with spin is proposed for a mesoscopic ring with rotating localized magnetic moment. This model may be realized in a pair of domain walls connecting two ferromagnetic domains…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Maseim B. Kenmoe , Yosuke Kayanuma

We consider the spin 1/2 model coupled to a slowly varying magnetic field in the presence of a weak damping represented by a Lindblad-form operators. We show that Berry's geometrical phase remains unaltered by the two dissipation mechanism…

Quantum Physics · Physics 2009-11-06 K. M. Fonseca Romero , A. C. Aguiar Pinto , M. T. Thomaz

Berry phase was originally defined for systems whose states are separated by finite energy gaps. One might naively expect that a system without a gap cannot have a Berry phase. Despite this we ask whether a Berry phase can be observed in a…

Condensed Matter · Physics 2007-05-23 Robert S. Whitney , Yuval Gefen

We investigate the decoherence effect of a bosonic bath on the Berry phase of a spin-1/2 in a time-dependent magnetic field, without making the Markovian approximation. A two-cycle process resulting in a pure Berry phase is considered. The…

Quantum Physics · Physics 2015-06-16 Xin Li , Yu Shi

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…

Optics · Physics 2026-01-27 Aymeric Braud , Renaud Gueroult

We study the influence of nonuniform magnetic fields on the magneto conductance of mesoscopic microstructures. We show that the coupling of the electron spin to the inhomogenous field gives rise to effects of the Berry phase on ballistic…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 Diego Frustaglia , Klaus Richter

We study the energy spectrum of magnons in a ferromagnet with topologically nontrivial magnetization profile. In the case of inhomogeneous magnetization corresponding to a metastable state of ferromagnet, the spin-wave equation of motion…

Materials Science · Physics 2009-11-11 V. K. Dugaev , P. Bruno , B. Canals , C. Lacroix

We investigate relaxation and dephasing of an electron spin confined in a semiconductor quantum dot and subject to spin-orbit coupling. Even in vanishing magnetic field, B = 0, slow noise coupling to the electron's orbital degree of freedom…

Mesoscale and Nanoscale Physics · Physics 2007-12-03 Pablo San-Jose , Gerd Schön , Alexander Shnirman , Gergely Zarand
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