The influence of a magnetic impurity or ultrasmall quantum dot on the spin
and charge persistent currents of a mesoscopic ring is investigated. The sy
stem consists of electrons in a one-dimensional ring threaded by spin-depen
dent Aharonov-Bohm/Casher fluxes, and coupled via an antiferromagnetic exch
ange interaction to a localized electron. The problem is mapped onto a Kond
o model for the even-parity channel plus free electrons in the odd-parity c
hannel. The twisted boundary conditions representing the fluxes couple stat
es of opposite parity unless the twist angles phi(alpha) satisfy phi(alpha)
=f(alpha)pi, where f(alpha) are integers, with spin index alpha = up arrow
, down arrow. For these special values of phi(alpha), the model is solvable
by the Bethe ansatz. (C) 2000 Elsevier Science B.V. All rights reserved.