The polaron structure in the conducting layers of the high- temperature superconductors

The theory of the polaron-dimensional lattices arising in the conducting layers is constructed. The discussion is carried out using the model of two groups of charge carriers, namely: light holes and the heavy holes from the narrow band inducing the large radius polarons. It is shown that the light holes destroy the polaron state. The critical shielding length at which the polaron is destroyed is calculated. The dependence of the hole energy in the polaron well, the polaron size and the polaron mass on the concentration of the light carries, has been determined. The polaron lattice structures have been investigated. The energy of the polaron lattices and the spectrum of the smll oscillations were determined. It is shown that the results strongly depend on the shielding electron spectrum dimension. In particular, for a two-dimensional dispersion law the characteristic polaron properties do not depend on the shielding electron concentration.