Geodesic
Superradiant phase transitions of Fermi and bose operators with trilinear interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 456-464 
V. B. Kir'yanov; V. S. Yarunin. Superradiant phase transitions of Fermi and bose operators with trilinear interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 456-464. http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a16/
@article{TMF_1982_51_3_a16,
     author = {V. B. Kir'yanov and V. S. Yarunin},
     title = {Superradiant phase transitions of {Fermi} and bose operators with trilinear interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {456--464},
     year = {1982},
     volume = {51},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a16/}
}
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A model of the interaction of a field Bose operator with $2N$ Fermi (or Bose) lattice oscillators is considered. It is shown that in the limit $N\to\infty$ an equilibrium superradiant phase transition of the system can occur in the case of a Bose lattice for arbitrarily small (in contrast to a Fermi lattice) values of the coupling constant and the reciprocal temperature. The thermodynamics of the model is investigated. The results are interpreted and compared with the ordering in a Bose lattice at finite $N$.

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