Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2000-07-05
J. Phys. A 33 (2000) L487
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages revtex; minor changes, references added
Scientific paper
10.1088/0305-4470/33/48/104
Deformed 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.
Amico Luigi
Eckern Ulrich
Osterloh Andreas
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