Journal of Physical Studies 14(3), Article 3702 [9 pages] (2010) DOI: https://doi.org/10.30970/jps.14.3702 HOLE AND ACCEPTOR SPECTRA IN A TWO-LAYER SPHERICAL QUANTUM DOT V. I. Boichuk, I. V. Bilynskyi, R. Ya. Leshko Department of Theoretical Physics, Ivan Franko Drohobych State Pedagogical University, 3 Stryiska St., 82100, Drohobych, e-mail: leshkoroman@mail.ru

For a two-layer spherical Si/SiO$_2$/vacuum nanoheterostructure by neglecting the corrugation of constant-energy surfaces in $k$-space on the basis of 3$\times$3 Hamiltonian the energy of discrete hole states and hydrogenic acceptor impurity were calculated as a function of the quantum dot sizes. Exact solutions of all radial equation for a hole without an impurity and two equations with an impurity were derived. The matrix radial equation of a hole of the acceptor impurity was solved by approximate methods of quantum mechanics. The dependence of the energy spectrum on the polarization charges, which arise at the separation boundary of the media, was defined. The range of quantum dot sizes where the heteroboundary make the substantial effect was defined.

PACS number(s): 71.55.-i, 73.21.La, 79.60.Jv

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