Aharonov-Bohm/Casher effect in a Kondo ring

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

doi:10.1016/S0921-4526(99)02911-7

Aharonov-Bohm/Casher effect in a Kondo ring

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

Physics

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

Abstract

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 = f_απ, where f_α are integers, with spin index α = ↑, ↓,. For these special values of φ + _α, the model is solvable by the Bethe ansatz.

Original language	English (US)
Pages (from-to)	1872-1873
Number of pages	2
Journal	Physica B: Condensed Matter
Volume	284-288
Issue number	PART II
DOIs	https://doi.org/10.1016/S0921-4526(99)02911-7
State	Published - 2000

Keywords

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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10.1016/S0921-4526(99)02911-7

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@article{619021082c56453b8b171939eb7a5146,

title = "Aharonov-Bohm/Casher effect in a Kondo ring",

abstract = "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.",

keywords = "Bethe ansatz, Kondo effect, Persistent current, Quantum dots",

author = "Eckle, {H. P.} and H. Johannesson and Stafford, {C. A.}",

note = "Funding Information: This work was supported in part by a bilateral grant from the Finnish Academy and the Deutscher Akademischer Austauschdienst. H.P.E. is a Humboldt Fellow of the Finnish Academy. H.J. acknowledges financial support from the Swedish Natural Science Research Council.",

year = "2000",

doi = "10.1016/S0921-4526(99)02911-7",

language = "English (US)",

volume = "284-288",

pages = "1872--1873",

journal = "Physica B: Condensed Matter",

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publisher = "Elsevier",

number = "PART II",

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TY - JOUR

T1 - Aharonov-Bohm/Casher effect in a Kondo ring

AU - Eckle, H. P.

AU - Johannesson, H.

AU - Stafford, C. A.

N1 - Funding Information: This work was supported in part by a bilateral grant from the Finnish Academy and the Deutscher Akademischer Austauschdienst. H.P.E. is a Humboldt Fellow of the Finnish Academy. H.J. acknowledges financial support from the Swedish Natural Science Research Council.

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

KW - Bethe ansatz

KW - Kondo effect

KW - Persistent current

KW - Quantum dots

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UR - http://www.scopus.com/inward/citedby.url?scp=0033726732&partnerID=8YFLogxK

U2 - 10.1016/S0921-4526(99)02911-7

DO - 10.1016/S0921-4526(99)02911-7

M3 - Article

AN - SCOPUS:0033726732

SN - 0921-4526

VL - 284-288

SP - 1872

EP - 1873

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

IS - PART II

ER -

Aharonov-Bohm/Casher effect in a Kondo ring

Abstract

Keywords

ASJC Scopus subject areas

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