Polaron energy spectrum of AlAs/GaAs/AlAs and PbS/PbTe/PbS quasi two-dimensional heterostructure as a function of the wave-vector is investigated based on the adiabatic approximation and the Ritz variational technique. The electron interaction with confined, interface and half-space phonons is taken into account. A comparative analysis of the polaron energy spectrum in heterostructures with a finite and infinite breakdown of energy bands at the interface is performed by means of the Li-Lou-Pines variational method. The polaron density of states dependence as a function of energies with the values less than phonon energies is studied. The contribution of each phonon branch to the density of states is determined. A comparative analysis is made for two AlAs/GaAs/AlAs and PbS/PbTe/PbS heterostructures. : 63.20.Kr, 79.60.Jv Recently various low-dimensional structures such as film systems [1-13], superlattices [14], quantum wires [14][15][16] and quantum dots [17][18][19][20][21][22] have been widely investigated both experimentally and theoretically. These heterosystems are of great interest mainly due to their unique physical properties which can be used in the electronic and opto-electronic devices.
Key words: polaron, heterostructure, quantum well, density of states
PACSAlAs/GaAs/AlAs and PbS/PbTe/PbS with one-dimensional quantum well (QW) are among the most highly used low-dimensional heterostructures. The restriction of quasi-particle motion in one direction (perpendicular to the interface) causes an essential difference (in comparison with a massive crystal) not only in the energy spectrum of non-interactive quasi-particles, but also in the values of the interaction energy. Particularly, one can see the changes in the electron, phonon and polaron spectra, which, in its turn, effects the optical and kinetic properties of such structures.The theory of polaron states has been developed in many papers [3,4,23,24], where various calculation methods and heterostructure models were used. However, most investigations studied a polaron dependence of the main parameters (effective masses, dielectric permittivities, QW widths, etc.) at the minimum of the conduction band. Therefore, in performing theoretical interpretation of the experimental data it is assumed that the polaron dispersion law has a parabolic form just like the electron one. And the difference is observed only in the values of effective mass [23]. However, the electron-phonon interaction depends on the wave vector and this should effect the nature of the polaron distribution law.The object of this paper is to investigate the polaron dispersion law in AlAs/GaAs/AlAs, PbS/PbTe/PbS heterostructures for different values of QW width. A contribution of various phonon branches to the formation of the polaron dispersion law is determined. The polaron density of states dependence on the energy values is defined based on the calculations performed. *