Finite-Size Bosonization of 2-Channel Kondo Model: A Bridge between Numerical Renormalization Group and Conformal Field Theory

Jan von Delft, Gergely Zaránd, and Michele Fabrizio
Phys. Rev. Lett. 81, 196 – Published 6 July 1998
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Abstract

We generalize Emery and Kivelson's (EK) bosonization-refermionization treatment of the 2-channel Kondo model to finite system size and on the EK line analytically construct its exact eigenstates and finite-size spectrum. The latter crosses over to conformal field theory's (CFT) universal non-Fermi-liquid spectrum (and yields the most-relevant operators' dimensions), and further to a Fermi-liquid spectrum in a finite magnetic field. Our approach elucidates the relation between bosonization, scaling techniques, the numerical renormalization group (NRG), and CFT. All CFT Green's functions are recovered with remarkable ease from the model's scattering states.

  • Received 10 June 1997

DOI:https://doi.org/10.1103/PhysRevLett.81.196

©1998 American Physical Society

Authors & Affiliations

Jan von Delft1, Gergely Zaránd2,3, and Michele Fabrizio3

  • 1Institut für Theoretische Festkörperphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 2Institute of Physics, Technical University of Budapest, H 1521 Budafoki út 8., Budapest, Hungary
  • 3International School for Advanced Studies, I-34014, Trieste, Italy

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Vol. 81, Iss. 1 — 6 July 1998

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