Self-consistent approach to solving the problem of crystal lattice formation in an electron–hole plasma

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.