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 language | English |
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Title of host publication | Encyclopedia of Condensed Matter Physics |
Publisher | Elsevier |
Pages | V1:218-V1:236 |
ISBN (Electronic) | 9780323908009 |
ISBN (Print) | 9780323914086 |
DOIs | |
State | Published - 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