Kondo Impurity in a Mesoscopic Ring: Charge Persistent Current

Details Kondo Impurity in a Mesoscopic Ring: Charge Persistent Current Kondo Impurity in a Mesoscopic Ring: Charge Persistent Current

1999-12-06

arxiv.org/abs/cond-mat/9912093v1

J. Low Temp. Phys. 118, 475 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

To appear in the Proceedings from "Electron Transport in Mesoscopic Physics", J. Low Temp. Phys. (in press); 5 pages

Scientific paper

We study the influence of a magnetic impurity or ultrasmall quantum dot on the charge persistent current of a mesoscopic ring. The system consists of electrons in a one-dimensional ring threaded by spin-dependent Aharonov-Bohm/Casher fluxes, coupled via an antiferromagnetic exchange interaction to a localized electron. By passing to a basis of electron states with definite parities, the problem is mapped onto a Kondo model for the even-parity channel plus free electrons in the odd-parity channel. States of opposite parities decouple for values of the flux corresponding to periodic or antiperiodic boundary conditions. For these special cases, the model is solved exactly by a Bethe ansatz, allowing for an exact calculation of the charge persistent current. In particular we show that the charge stiffness in the special case of spin-independent fluxes is insensitive to the presence of the magnetic impurity/quantum dot.

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