Aharonov-Bohm and Aharonov-Casher effects in condensed matter physics: A brief review

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Abstract

We briefly review the theoretical formulations and applications of the Aharonov-Bohm effect and the Aharonov-Casher effect in condensed physics with emphasis on mesoscopic physics. Topics relating to the Aharonov-Bohm effect include locality, periodicity, nonintegrable phase factors, Abelian gauge theory, interference, the spectrum and persistent current of electrons on a ring pierced by a magnetic field, Onsager reciprocity relations, and Aharonov-Bohm interferometer. Topics relating to the Aharonov-Casher effect include a magnetic dipole in an electric field, locality, periodicity, non-Abelian gauge invariance, SU(2) nonintegrable phase factors, spin-orbit coupling, Pauli equation, Rashba Hamiltonian, Aharonov-Casher interferometer, conductance and polarization in two-channel systems due to the Aharonov-Casher effect. We also touch upon Aharonov-Bohm effect in cold atom physics and the topic of magnetic monopoles.

Original languageEnglish
Title of host publicationEncyclopedia of Condensed Matter Physics
PublisherElsevier
PagesV1:218-V1:236
ISBN (Electronic)9780323908009
ISBN (Print)9780323914086
DOIs
StatePublished - 1 Jan 2024

Keywords

  • Analogy of Aharonov-Bohm effect in cold atoms physics
  • Dirac quantization
  • Dirac string
  • Magnetic monopole

ASJC Scopus subject areas

  • General Physics and Astronomy

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