Spin-flavor separation and non-Fermi-liquid behavior in the multichannel Kondo problem: a large-N approach

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Date
1993-09-06
Authors
Cox, D. L.
Ruckenstein, A. E.
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Accepted manuscript
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Citation
D.L. COX, A.E. RUCKENSTEIN. 1993. "SPIN-FLAVOR SEPARATION AND NON-FERMI-LIQUID BEHAVIOR IN THE MULTICHANNEL KONDO PROBLEM - A LARGE-N APPROACH." PHYSICAL REVIEW LETTERS, Volume 71, Issue 10, pp. 1613 - 1616 (4). https://doi.org/10.1103/PhysRevLett.71.1613
Abstract
We present an analytical solution of a SU(N)×SU(M) generalization of the multichannel single-impurity Kondo model in the limit N→∞, M→∞, with γ=M/N fixed. Non-Fermi-liquid behavior of the single electron Green function and of the local spin and flavor susceptibilities occurs in both regimes, N≤M and N>M, with leading critical exponents identical to those found in the conformal field theory solution for all N and M (with M≥2). We explain this remarkable agreement and connect it to ‘‘spin-flavor separation,’’ the essential feature of the non-Fermi-liquid, fixed point.
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