Quantum Oscillations of the Landau-Pekar Polaron in the Dielectric Layers and Bipolaron Formations

The conditions are identified under which the electrostatic image forces at an interface dielectrics
result in spatial confinement of the large polarons. This paper presents the theoretical study of large
polarons state near the interface of two and three insulators. Action of a combination of external
magnetic and electric fields and forces of the electrostatic image on polaron quasi two-dimensional
nanostructures is analyzed. It is established that at certain ratios of dielectric constants of two
dielectrics there is a fixing of polarons at some equilibrium distance from an interface of dielectrics.
Polarons are fixed in the plane of the parallel to plane of the interface, forming a quasi twodimensional
nanolayer. The Bogolyubov method of collective coordinate is used to derive equations
describing quantum oscillations of the center of inertia of a polaron near its equilibrium position. A
long-range resonant interaction of two oscillators resulting in the appearance of effective attraction
between polarons is discussed. The dielectric properties of adjacent insulators required for complete
compensation of the Coulomb interpolaron repulsion are determined. Derivation is given on the
temperature and magnetic field in which the polaron oscillations are not suppressed. The reasons are
discussed why in some experiments high-temperature superconductivity of metal-ammonia systems
was found, while in other experiments it was not possible to detect superconductivity.