Fermionic long range correlations realized by particles obeying deformed statistics

dc.creatorOsterloh, Andreas
dc.creatorAmico, Luigi
dc.creatorEckern, Ulrich
dc.date2000-07-05
dc.date2000-12-04
dc.date.accessioned2026-07-07T06:31:04Z
dc.date.available2026-07-07T06:31:04Z
dc.descriptionDeformed exchange statistics is realized in terms of electronic operators. This is employed to rewrite Hubbard type lattice models for particles obeying deformed statistics (we refer to them as deformed models) as lattice models for electrons. The resulting models show up gauge--like modulations in the hopping processes, which induce long-range correlations in the lattice. The conditions for the Bethe ansatz solvability of the latter are interpreted as restrictions imposed on the statistics to be compatible with the Bethe ansatz solvability of the deformed models. It is found that solvable deformed models are not unitarily equivalent to fermionic models if the exchange of particles with the same spin-orientations is deformed. Statistics deformations, where the exchange relation of two particles is influenced by the presence of other particles, cannot be realized by fermionic operators.
dc.description4 pages revtex; minor changes, references added
dc.identifierhttps://arxiv.org/abs/cond-mat/0007081
dc.identifierhttp://arxiv.org/abs/cond-mat/0007081
dc.identifierJ. Phys. A 33 (2000) L487
dc.identifierdoi:10.1088/0305-4470/33/48/104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98508
dc.subjectStrongly Correlated Electrons
dc.subjectExactly Solvable and Integrable Systems
dc.titleFermionic long range correlations realized by particles obeying deformed statistics
dc.typetext

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