Aharonov-Casher phase: Considerations regarding force, time dependence, and Berry phase

Igor Kuzmenko; Y. B. Band; Yshai Avishai

doi:10.1103/r1f4-6tfp

Aharonov-Casher phase: Considerations regarding force, time dependence, and Berry phase

Igor Kuzmenko
, Y. B. Band
, Yshai Avishai

Research output: Contribution to journal › Article › peer-review

Abstract

The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries in which an analytic expression for the phase can be obtained are examined, as well as the relation of the AC phase to the Berry phase. The AC phase is determined for an arbitrary homogeneous electric field; it is quadratic (linear) in the field strength for small (large) electric field strengths.

Original language	English
Pages (from-to)	2243091-2243098
Number of pages	8
Journal	Physical Review B
Volume	112
Issue number	22
DOIs	https://doi.org/10.1103/r1f4-6tfp
State	Published - 10 Dec 2025

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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abstract = "The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries in which an analytic expression for the phase can be obtained are examined, as well as the relation of the AC phase to the Berry phase. The AC phase is determined for an arbitrary homogeneous electric field; it is quadratic (linear) in the field strength for small (large) electric field strengths.",

author = "Igor Kuzmenko and Band, \{Y. B.\} and Yshai Avishai",

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Y1 - 2025/12/10

N2 - The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries in which an analytic expression for the phase can be obtained are examined, as well as the relation of the AC phase to the Berry phase. The AC phase is determined for an arbitrary homogeneous electric field; it is quadratic (linear) in the field strength for small (large) electric field strengths.

AB - The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries in which an analytic expression for the phase can be obtained are examined, as well as the relation of the AC phase to the Berry phase. The AC phase is determined for an arbitrary homogeneous electric field; it is quadratic (linear) in the field strength for small (large) electric field strengths.

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JO - Physical Review B

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Aharonov-Casher phase: Considerations regarding force, time dependence, and Berry phase

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