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Parafermion theory from the q-deformed algebra with q a root of unity
- Authors
- Chung, Won Sang; Hassanabadi, H.
- Issue Date
- Mar-2020
- Publisher
- World Scientific Publishing Co
- Keywords
- Parafermion gas; parafermion star; q-deformed algebra
- Citation
- International Journal of Geometric Methods in Modern Physics, v.17, no.3
- Indexed
- SCIE
SCOPUS
- Journal Title
- International Journal of Geometric Methods in Modern Physics
- Volume
- 17
- Number
- 3
- ISSN
- 0219-8878
1793-6977
- Abstract
- In this paper, we find the q-deformed algebra with the finite- and infinite-dimensional Pock space and both the fermionic limit and the bosonic limit. Using the cardinality of set theory, we propose the Hamiltonian interpolating bosonic case and fermionic case, which enables us to construct the proper partition function and internal energy. As examples, we discuss the specific heat of free p = 3 parafermion gas model and p = 3 parafermion star.
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