D. Bonatsos et al., THE Q-DEFORMED THOULESS MODEL FOR SUPERCONDUCTIVITY AND THE STUDY OF THERMAL EFFECTS USING NUMBER NONCONSERVING COHERENT STATES, Physics letters. A, 192(2-4), 1994, pp. 192-200
Two different quantum deformations of the Thouless model for supercond
uctivity are introduced. The ground state energy is estimated by using
a coherent state variational method. The coherent states do not conse
rve the number of particles, since pairs can be broken by temperature.
Thus the number non-conserving coherent states are used in mimicking
temperature effects. The point where the second order phase transition
takes place is calculated analytically.