We study the effects of the vicinity between a shallow donor nucleus and an I 1 -type basal stacking fault ͑BSF͒ in GaN. We propose a numerical calculation, in the "effective potential" formalism, of energies and envelope functions of electrons submitted to the conjunction of attractive potentials caused by the BSF and the donor. We show that the donor localizes the electron along the plane of the BSF, even when the donor lies as far as 10 nm from the BSF. Conversely, the presence of the BSF enhances the donor binding energy by up to a factor of 1.8, when the donor is placed exactly on the BSF. We briefly discuss the probability of occurrence of such a situation in, e.g., a-plane GaN, as well as its consequences on transport and optical properties of this material. DOI: 10.1103/PhysRevB.80.153309 PACS number͑s͒: 71.55.Eq, 73.21.Fg, 73.22.Dj The current interest in the growth of wurtzite GaN along the nonpolar ͓11-20͔ a-axis is fostered by the possibility of eliminating the internal electric fields that are induced in nitride-based quantum structures when grown along ͓0001͔, 1-3 the polar c-axis. In such a-plane GaN, however, large densities of a particular class of extended defects, namely, basal stacking faults ͑BSFs͒, are usually observed. After a number of theoretical and experimental studies, [4][5][6][7][8][9][10] these BSFs are generally considered to consist in ultrathin ͑three monolayers͒, perfectly smooth insertions of cubiclike GaN in a wurtzite GaN matrix. Electrons are confined in the cubiclike layer, but with significant spreading of the wave function in the surrounding barrier. On the other hand, the corresponding valence-band discontinuity has been predicted to be such that the cubiclike layer constitutes a potential barrier for holes, leading for the overall structure to a type-II band line-up. 7 In usual quantum wells ͑QWs͒ produced by epitaxy, potential fluctuations of diverse origins induce, especially at low temperatures, a natural in-plane localization of carriers ͑electrons, holes, or excitons͒. Quite generally, well-width fluctuations of typically one atomic monolayer occur during the epitaxial growth of QWs, leading to the localization of carriers where the QW is wider, i.e., with lower quantized energy. Moreover, even in nitride-based QWs with flat interfaces, the large effective mass of holes make them also sensitive to potential fluctuations due to alloy disorder in the well 11 or in the barriers. 12 In any case, the energy lost by, say, an exciton, when localized at such fluctuations, is larger than the energy that this exciton would lose by localizing onto a neutral donor in the bulk material. Donor-related excitonic transitions are consequently not observed in QWs: excitons are better localized by fluctuations than they are by donors.
13Given their intrinsic nature, BSFs represent the unprecedented situation of QWs without any well-width fluctuations. Consequently, and contrary to usual heterostructures produced by epitaxy, no in-plane exciton localization is expected. Now,...