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One-Dimensional Anyon Lattice and slq(2) Algebra Realization |
| Z. Bentalha1;M. Tahiri2;B. Liani1 |
| 1Theoretical Physics Laboratory, Tlemcen University, Tlemcen, Algeria
2Laboratoire de Physique Théorique, Université d’Essenia, 31100 Oran, Algeria |
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| Cite this article: |
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Z. Bentalha, M. Tahiri, B. Liani 2005 Chin. Phys. Lett. 22 1207-1209 |
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Abstract We discuss the connection between anyons (particles with fractional statistics) living on a one-dimensional lattice and slq(2) algebra. We assign to each site-anyon field, then we demand the anyonic fields to be noncommuting objects in agreement with the Chern--Simons picture of anyons. We show how the anyonic algebra can emerge from these noncommuting objects. Starting from the emerged algebra we build the slq(2) algebra at q roots of unity.
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71.10.Pm
02.20.Sr
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Published: 01 May 2005
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| PACS: |
71.10.Pm
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(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
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02.20.Sr
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