Self-consistent approach to solving the~problem of crystal lattice formation in an~electron--hole plasma
Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 1, pp. 158-170

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We transform the Hubbard Hamiltonian for electrons of $ns$ bands of crystal atoms into the electron–hole Hamiltonian using Shiba operators. We use this Hamiltonian to study the behavior of the electron–hole system as a function of its internal and external parameters and show that in contrast to a one-component electron system, there are no conditions for the appearance of structural phase transitions in this two-component system.
Keywords: structural phase transition.
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     author = {T. O. Voronkova and A. M. Sarry and M. F. Sarry and S. G. Skidan},
     title = {Self-consistent approach to solving the~problem of crystal lattice formation in an~electron--hole plasma},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2019_200_1_a9/}
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T. O. Voronkova; A. M. Sarry; M. F. Sarry; S. G. Skidan. Self-consistent approach to solving the~problem of crystal lattice formation in an~electron--hole plasma. Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 1, pp. 158-170. http://geodesic.mathdoc.fr/item/TMF_2019_200_1_a9/