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Dielectric mismatch and shallow donor impurities in GaN/HfO2 quantum wells

, , , and . PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, (2015)
DOI: 10.1016/j.physe.2014.10.005

Abstract

In this work we investigate electron-impurity binding energy in GaN/HfO2 quantum wells. The calculation considers simultaneously all energy contributions caused by the dielectric mismatch: (i) image self-energy (i.e., interaction between electron and its image charge), (ii) the direct Coulomb interaction between the electron-impurity and (iii) the interactions among electron and impurity image charges. The theoretical model account for the solution of the time-dependent Schrodinger equation and the results shows how the magnitude of the electron-impurity binding energy depends on the position of impurity in the well-barrier system. The role of the large dielectric constant in the barrier region is exposed with the comparison of the results for GaN/HfO2 with those of a more typical GaN/AIN system, for two different confinement regimes: narrow and wide quantum wells. (C) 2014 Elsevier B.V. All rights reserved.

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