Vm. Loktev et al., SUPERCONDUCTIVITY IN THE FROHLICH 2-DIMENSIONAL MODEL WITH AN ARBITRARY CARRIER CONCENTRATION, Theoretical and mathematical physics, 115(3), 1998, pp. 694-706
Using the Frohlich Hamiltonian, we obtain self-consistent equations fo
r the energy gap and the chemical potential. Using these equations, ry
e can analyze the superconductivity properties of the system for an ar
bitrary carrier concentration. We consider weak, intermediate, and str
ong interactions between fermions and observe the transition from the
Cooper coupling to the local-pair regime in the indirect-interaction m
odel.