Simple formulation of the two-channel Kondo model

P. Coleman, L. B. Ioffe, and A. M. Tsvelik
Phys. Rev. B 52, 6611 – Published 1 September 1995
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Abstract

We reformulate the two-channel Kondo model to explicitly remove the unscattered charge degrees of freedom. This procedure permits us to move the non-Fermi-liquid fixed point to infinite coupling where we can apply a perturbative strong-coupling expansion. The fixed-point Hamiltonian involves a three-body Majorana zero mode whose scattering effects give rise to marginal self-energies. The compactified model is the N=3 member of a family of O(N) Kondo models that can be solved by semiclassical methods in the large N limit. For odd N, fermionic ‘‘kink’’ fluctuations about the N=∞ mean-field theory generate a fermionic N-body bound state which asymptotically decouples at low energies. For N=3, our semiclassical methods fully recover the non-Fermi-liquid physics of the original two-channel model. Using the same methods, we find that the corresponding O(3) Kondo lattice model develops a spin-gap and a gapless band of coherently propagating three-body bound states. Its strong-coupling limit offers a rather interesting realization of a marginal Fermi liquid.

  • Received 3 April 1995

DOI:https://doi.org/10.1103/PhysRevB.52.6611

©1995 American Physical Society

Authors & Affiliations

P. Coleman and L. B. Ioffe

  • Serin Laboratory, Rutgers University, P.O. Box 849, Piscataway, New Jersey 08855-0849

A. M. Tsvelik

  • Department of Physics, University of Oxford, 1 Keble Road, Oxford OX1, United Kingdom

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Issue

Vol. 52, Iss. 9 — 1 September 1995

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