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Pair Mode in Two-Level Parafermion Systems

For the system of two parafermionic degrees of freedom, we obtain the partition function which is very compact. It exhibits pair mode behaviour, the total excitation number of three modes corresponding to the energies E1, E2 and E1 + E2 being not more than the order p. We compare it with those of para-Bose systems which also show similar pair mode behaviour.