Transition from overscreening to underscreening in the multichannel Kondo model: exact solution at large N

Details Transition from overscreening to underscreening in the multichannel Kondo model: exact solution at large N Transition from overscreening to underscreening in the multichannel Kondo model: exact solution at large N

1997-07-31

arxiv.org/abs/cond-mat/9707337v2

Phys. Rev. Lett. 79 (1997) 4665

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, RevTeX3.0, 2 EPS figures. Published version

Scientific paper

10.1103/PhysRevLett.79.4665

A novel large-N limit of the multichannel Kondo model is introduced, for representations of the impurity spin described by Schwinger bosons. Three cases are found, associated with underscreening, overscreening and exact Kondo screening of the impurity. The saddle-point equations derived in this limit are reminiscent of the ``non-crossing approximation'', but preserve the Fermi-liquid nature of the model in the exactly screened case. Several physical quantities are computed, both numerically, and analytically in the low-\omega,T limit, and compared to other approaches.

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