Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality

• URL: http://arxiv.org/abs/2308.03590v2
• Date: Wed, 7 Aug 2024 19:36:25 GMT
• Title: Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality
• Authors: Aleksandar Ljepoja, Nayana Shah, C. J. Bolech,
• Abstract summary: We study scaling using Anderson's simple poor man's procedure. We unveil a universal agreement among the three models in how they flow upon scaling.
• Score: 44.99833362998488
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Following up on the systematic compactification of the two-channel Kondo model (and its multichannel extensions; see $\href{https://doi.org/10.48550/arXiv.2308.03569}{\textsf{companion paper I}}$) and the demonstration of its validity over the past proposal of compactification, we resort to a study of scaling using Anderson's simple poor man's procedure to carry out a comparative study of these two and the original model. By doing so we unveil a universal agreement among the three models in how they flow upon scaling, and suggest the general limits of such a concordance. In this way we further elucidate the conditions under which the standard simplifications implicit in many bosonization-based mappings (particularly of quantum impurity models) can be used reliably, and when the consistent bosonization-debosonization approach is needed.

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