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Pairing of Parafermions of Order 2: Seniority Model

Charles A. Nelson
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Abstract

As generalizations of the fermion seniority model, four multi-mode Hamiltonians are considered to investigate some of the consequences of the pairing of parafermions of order two. 2-particle and 4-particle states are explicitly constructed for H_A = - G A^+ A with A^+}= 1/2 Sum c_{m}^+ c_{-m}^+ and the distinct H_C = - G C^+ C with C^+}= 1/2 Sum c_{-m}^+ c_{m}^+, and for the time-reversal invariant H_(-)= -G (A^+ - C^+)(A-C) and H_(+) = -G (A^+dagger + C^+)(A+C), which has no analogue in the fermion case. The spectra and degeneracies are compared with those of the usual fermion seniority model.

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Charles A. Nelson. 2003-11-19. Pairing of Parafermions of Order 2: Seniority Model. https://doi.org/10.1088/0305-4470%2F37%2F6%2F038

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