A. Kuriyama et al., THERMAL EFFECT IN LIPKIN MODEL .1. THERMAL-EQUILIBRIUM STATE AND PHASE-TRANSITION, Progress of theoretical physics, 94(6), 1995, pp. 1039-1059
We study the thermal effect with the use of Lipkin model. We define th
e density and entropy operator associated with the mixed state represe
ntation of Lipkin model, which has been developed with the aid of auxi
liary fermion field. We investigate the thermal equilibrium state and
its phase transition. In super phase, the thermal effect breaks the pa
rticle-hole pairs with coupled angular momentum 0 and does not lift up
nucleons from the lower level to upper one, contrary to the case of n
ormal phase.