Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis
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| Format: | Preprint |
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2023
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| _version_ | 1866916351057068032 |
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| author | Ljepoja, Aleksandar Bolech, C. J. Shah, Nayana |
| author_facet | Ljepoja, Aleksandar Bolech, C. J. Shah, Nayana |
| contents | 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)) |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_03606 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis Ljepoja, Aleksandar Bolech, C. J. Shah, Nayana Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Physics 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)) |
| title | Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2308.03606 |