Systematic compactification of the (multi) two-channel Kondo model. II.
Comparative study of scaling and universality
- URL: http://arxiv.org/abs/2308.03590v1
- Date: Mon, 7 Aug 2023 13:46:45 GMT
- Title: Systematic compactification of the (multi) 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: 68.8204255655161
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Following up on the systematic compactification of the two-channel Kondo
model (and its multi-channel extensions; see 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 what are 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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