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Physical review. B./Physical review. B

Interplay between non-Fermi liquid and non-Hermiticity: A multimethod study of non-Hermitian multichannel Kondo model

Wei-Zhu Yi, Yun Chen, Jun-Jun Pang, Hong Chen, Baigeng Wang, Rui Wang

Published Mar 18, 2026• 0 citations
Publisher
DOI
10.1103/4dyh-rbfq

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It is shown that a non-Fermi-liquid fixed point of the multichannel Kondo problem is unstable for repulsive interaction at the impurity site between conduction electrons with different flavors and the same pseudospin. The anomalous fixed point is shown, by the perturbative renormalization group argument, to move into the strong coupling region with increasing repulsion. The low-temperature properties at the so-called “Toulouse limit” are calculated by the bosonization method to show that the Fermi-liquid like behavior is recovered quickly as soon as repulsion is switched on. This result poses a question as to the reality of the non-Fermi-liquid state for the multichannel Kondo model which has been examined extensively so far.
We solve the multichannel Kondo model with channel anisotropy using the Bethe ansatz method. The model generates energy scales, characterizing the neighborhoods of the various infrared fixed points, reflecting the structure of the symmetry breaking in the channel sector. The nature of these fixed points also depends on the magnitude of the impurity spin SSS. We present a detailed discussion for the two channel case and point out some possible non-Fermi-liquid behavior.