Aharonov-Bohm/Casher effect in a Kondo ring

H. P. Eckle, H. Johannesson, C. A. Stafford

Research output: Contribution to journalArticlepeer-review


The influence of a magnetic impurity or ultrasmall quantum dot on the spin and charge persistent currents of a mesoscopic ring is investigated. The system consists of electrons in a one-dimensional ring threaded by spin-dependent Aharonov-Bohm/Casher fluxes, and coupled via an antiferromagnetic exchange interaction to a localized electron. The problem is mapped onto a Kondo model for the even-parity channel plus free electrons in the odd-parity channel. The twisted boundary conditions representing the fluxes couple states of opposite parity unless the twist angles φ + α satisfy φ + α = fαπ, where fα are integers, with spin index α = ↑, ↓,. For these special values of φ + α, the model is solvable by the Bethe ansatz.

Original languageEnglish (US)
Pages (from-to)1872-1873
Number of pages2
JournalPhysica B: Condensed Matter
Issue numberPART II
StatePublished - 2000


  • Bethe ansatz
  • Kondo effect
  • Persistent current
  • Quantum dots

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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