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βfunction of the multichannel Kondo model

1998/11/17 by Kurt Fischer
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.59.14845

4 pages

arxiv created 1998/11/17 · openalex publication_date 1999/06/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The \ensuremathβ function of the multichannel Kondo model is calculated exactly in the limit of large spin N and channel number M=\ensuremathγN, with constant \ensuremathγ. There are no corrections in any finite order of 1/N. One zero is found at a finite coupling strength, showing directly the non-Fermi-liquid behavior of the model. This renormalization group flow allows introduction of a variational principle for the entropy, to obtain the low-temperature thermodynamics. Thus, in particular, the low-temperature thermodynamics of the noncrossing approximation to the Kondo model becomes accessible.

Citations