[suny Bing 7/1/03 ] Pairing of Parafermions of Order 2: Seniority Model

As generalizations of the seniority model, four Hamiltonians are considered to investigate some of the physics associated with the pairing of parafermions of order p = 2. 2-particle and 4-particle states are explicitly constructed for HA ≡ −G A†A with A† ≡ 1 2 ∑ m>0 c † mc † −m and the distinct HC ≡ −G C†C with C† ≡ 1 2 ∑ m>0 c † −mc † m, and for the time-reversal invariant H(−) ≡ −G (A† − C†)(A − C) and H(+) ≡ −G (A† + C†)(A + C), which has no analogue in the p = 1 case. The spectra and degeneracies are compared with those of the usual p = 1 seniority model. Electronic address: cnelson @ binghamton.edu