Dresden 2006 – wissenschaftliches Programm

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HL: Halbleiterphysik

HL 50: Poster II

HL 50.58: Poster

Donnerstag, 30. März 2006, 16:30–19:00, P3

Ground State of Electron on Short-Range Potential in Two Dimensional Structure in Magnetic Field — •Tatiana Pavlova — Moscow Engineering Physics Institute, Kashirskoe sh. 31, 115409 Moscow, Russia

The exact energy spectrum of an electron in a negative ion located in a two-dimensional structure and in a magnetic field applied perpendicular to the layer surface is derived. In our calculations we used the method of the zero-range potential derived for the three-dimensional problem (Yu.N. Demkov and G.F. Drukarev, 1965). The energy of the electron located in a short-range potential of arbitrary scattering length is obtained. The dependence of the binding energy on the magnetic field is investigated in the layer with different thickness. The diamagnetic and anti-diamagnetic energy shifts from the continuous spectrum boundary are studied. In the limit of infinite layer thickness the obtained energy coincides with energy in the three-dimensional problem. The electron energy in the shallow impurity potential in a weak magnetic field agrees with the results derived previously (S.P. Andreev and T.V. Pavlova, 2005).