Something about spin-fermion connection

Details Something about spin-fermion connection Something about spin-fermion connection

2003-06-19

arxiv.org/abs/cond-mat/0306495v4

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, LaTeX 2.09. See also J. Phys. A: Math. Gen. 36 (2003) L503-L508 (FREE for downloading). Except these comments, nothi

Scientific paper

Jordan-Wigner-type transformations connecting the spin-3/2 operators and two kinds of fermions are derived. A general condition of fermionizability of spins is obtained and a theorem establishing connection between half integer spins and fermions is proved. The fallibility of a previous attempt to generalize the Jordan-Wigner transformation for all spins (C.D. Batista and G. Ortiz, Phys. Rev. Lett. 86, 1082 (2001)) is pointed out.

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