Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis

Abstract

We carry out a field-theoretical renormalization group procedure based on the Callan-Symanzik equation to calculate the detailed flow for the (multi) two-channel Kondo model and its compactified versions. In doing so, we go beyond the universal terms in the beta function we obtained using poor man's scaling (see arXiv:2308.03590 (companion paper II)) and culminate our analysis of how the compactified versions of the model fare against the original one. Among other results, we explore the large-channel-number limit and extend our considerations to the finite temperature crossover region. Moreover, we gain insights into the contradistinction between the consistent vs. conventional bosonization-debosonization formalisms, thereby advancing our understanding on multiple fronts. In particular, we make use of renormalization-flow arguments to further justify the consistent refermionization of the parallel Kondo interaction we presented earlier (see arXiv:2308.03569 (companion paper I))

28 pages, 14 figures, 2 tables

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Cited by in corpus (3)

• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons
• Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality
• Bosonization solution of the Kondo lattice in a Luttinger liquid