A multi-channel fixed point for a Kondo spin coupled to a junction of Luttinger liquidsV. Ravi Chandra1, S. Rao2 and D. Sen1
1 Centre for High Energy Physics, Indian Institute of Science - Bangalore 560012, India
2 Harish-Chandra Research Institute - Chhatnag Road, Jhusi, Allahabad 211019, India
received 13 March 2006; accepted in final form 7 July 2006
published online 21 July 2006
We study a system of an impurity spin coupled to a junction of several Tomonaga-Luttinger liquids using a renormalization group scheme. For the decoupled S-matrix at the junction, there is a range of Kondo couplings which flow to a multi-channel fixed point for repulsive inter-electron interactions; this is associated with a characteristic temperature dependence of the spin-flip scatterings. If the junction is governed by the Griffiths S-matrix, the Kondo couplings flow to a strong-coupling fixed point where all the wires are decoupled.
73.63.Nm - Quantum wires.
72.15.Qm - Scattering mechanisms and Kondo effect.
73.23.-b - Electronic transport in mesoscopic systems.
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