A multi-channel fixed point for a Kondo spin coupled to a junction of Luttinger liquids

Physics – Condensed Matter – Strongly Correlated Electrons

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7 pages including 3 figures; the RG equations have been corrected, and the discussion of the muti-channel fixed point has been

Scientific paper

10.1209/epl/i2006-10167-8

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.

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