Geodesic
Superconductivity in the Fr\"ohlich two-dimensional model with an arbitrary carrier concentration
Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 3, pp. 419-436

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Using the Fröhlich Hamiltonian, we obtain self-consistent equations for the energy gap and the chemical potential. Using these equations, we can analyze the superconductivity properties of the system for an arbitrary carrier concentration. We consider weak, intermediate, and strong interactions between fermions and observe the transition from the Cooper coupling to the local-pair regime in the indirect-interaction model. 
@article{TMF_1998_115_3_a7,
     author = {V. M. Loktev and V. M. Turkovsky and S. G. Sharapov},
     title = {Superconductivity in the {Fr\"ohlich} two-dimensional model with an arbitrary carrier concentration},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {419--436},
     publisher = {mathdoc},
     volume = {115},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a7/}
}
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V. M. Loktev; V. M. Turkovsky; S. G. Sharapov. Superconductivity in the Fr\"ohlich two-dimensional model with an arbitrary carrier concentration. Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 3, pp. 419-436. http://geodesic.mathdoc.fr/item/TMF_1998_115_3_a7/