Kondo Impurity in a Mesoscopic Ring: Charge Persistent Current |
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Authors: | H-P Eeckle H Johannesson and C A Stafford |
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Affiliation: | (1) Department of Physics, University of Jyväskylä, FIN-40351 Jyväskylä, Finland;(2) Department of Physics, University of Arizona, 1118 E. 4th Street, Tucson, AZ 85721, USA;(3) Institute of Theoretical Physics, Chalmers University of Technology and Göteborg University, SE 412 96 Göteborg, Sweden;(4) Fakultät für Physik, Albert-Ludwigs-Universität, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany |
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Abstract: | We study the influence of a magnetic impurity or ultrasmallquantum dot on the charge persistent current of a mesoscopicring. The system consists of electrons in a one-dimensionalring threaded by spin-dependent Aharonov–Bohm/Casher fluxes,coupled via an antiferromagnetic exchange interaction to alocalized electron. By passing to a basis of electron stateswith definite parities, the problem is mapped onto a Kondomodel for the even-parity channel plus free electrons in theodd-parity channel. The twisted boundary conditionsrepresenting the fluxes couple states of opposite parityunless the twist angles satisfy ![phgr](/content/wk4612521075044n/xxlarge966.gif) =f![agr](/content/wk4612521075044n/xxlarge945.gif) ,where f are integers, with spin index = , . For these special values of![phgr](/content/wk4612521075044n/xxlarge966.gif) , the model is solved exactly by a Bethe ansatz.Special cases are investigated in detail. In particular weshow that the charge stiffness in the case![phgr](/content/wk4612521075044n/xxlarge966.gif) =![phgr](/content/wk4612521075044n/xxlarge966.gif) is insensitive to the presenceof the magnetic impurity/quantum dot. |
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