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On the spin–fermion connection

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Stanislav V Dobrov

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LETTER TO THE EDITOR

Jordan–Wigner-type transformations connecting the spin-3/2 operators and two types of fermion are derived. The general condition of fermionizability of spins is obtained. Discordances in the results of a previous attempt to generalize the Jordan–Wigner transformation for all spins (Batista and Ortiz 2001 Phys. Rev. Lett. 86 1082) are pointed out. After introducing clarity, a new interpretation is given for these results.


PACS

05.30.Fk Fermion systems and electron gas

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

75.10.Pq Spin chain models

75.10.Jm Quantized spin models

MSC

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

Subjects

Quantum gases, liquids and solids

Condensed matter: electrical, magnetic and optical

Statistical physics and nonlinear systems

Dates

Issue 39 (3 October 2003)

Received 13 May 2003, in final form 22 August 2003

Published 17 September 2003



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