Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910561197883392 |
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| author | Ljepoja, Aleksandar Shah, Nayana Bolech, C. J. |
| author_facet | Ljepoja, Aleksandar Shah, Nayana Bolech, C. J. |
| contents | Following up on the systematic compactification of the two-channel Kondo model (and its multichannel extensions; arXiv:2308.03569 (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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03590 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality Ljepoja, Aleksandar Shah, Nayana Bolech, C. J. Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Physics Following up on the systematic compactification of the two-channel Kondo model (and its multichannel extensions; arXiv:2308.03569 (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. |
| title | Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2308.03590 |