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Bosonization in $R$-paraparticle Luttinger models
by Dennis F. Salinel, Kristian Hauser A. Villegas
Submission summary
| Authors (as registered SciPost users): | Kristian Hauser Villegas |
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| Preprint Link: | https://arxiv.org/abs/2508.20429v2 (pdf) |
| Date submitted: | Sept. 12, 2025, 9:59 a.m. |
| Submitted by: | Villegas, Kristian Hauser |
| Submitted to: | SciPost Physics Core |
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| Academic field: | Physics |
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| Approach: | Theoretical |
The author(s) disclose that the following generative AI tools have been used in the preparation of this submission:
We used ChatGPT 4 to check our grammar and improve some sentences.
Abstract
We reintroduce the parafermion-paraboson classification in $R$-paraparticles in terms of their average occupation numbers, analogous to Green's parastatistics. The notion of $p$-order in $R$-parafermions is also redefined as the maximum number of particles that can occupy a quantum state. An example of an order-$2$ $R$-parafermion with $m=2$ internal degrees of freedom is presented, which obeys an exclusion principle that is not Pauli's. The interacting $R$-parafermions are studied in the context of bosonization. Specifically, we show that while density waves are generally bosonic in nature and that flavor-charge separation naturally occurs for any one-dimensional $R$-parafermion system described by the Luttinger model, flavor waves do not always satisfy bose statistics. Comparison of the partition functions further show that only $(p=1)$-ordered $R$-parafermions are compatible with the bosonization procedure in the low-energy limit. Based from these results, we discuss a potential realization of $R$-parafermion signatures in one-dimensional systems.