The formation energies of n-and p-type dopants in III−V arsenide and phosphide semiconductors (GaAs, GaP, and InP) are calculated within a first-principles total energy approach.Our findings indicate thatfor all the considered systemsboth the solubility and the shallowness of the dopant level depend on the crystal phase of the host material (wurtzite or zincblende) and are the result of a complex equilibrium between local structural distortion and electronic charge reorganization. In particular, in the case of acceptors, we demonstrate that impurities are always more stable in the wurtzite lattice with an associated transition energy smaller with respect to the zincblende case. Roughly speaking, this means that it is easier to p-type dope a wurtzite crystal and the charge carrier concentration at a given temperature and doping dose is larger in the wurtzite as well. As for donors, we show that neutral chalcogen impurities have no clear preference for a specific crystal phase, while charged chalcogen impurities favor substitution in the zincblende structure with a transition energy that is smaller when compared to the wurtzite case (thus, charge carriers are more easily thermally excited to the conduction band in the zincblende phase).
■ INTRODUCTIONCrystal-phase engineering is an emerging field in nanoscience that consists of the design of materials with tailor-made properties by growing ad hoc crystal phases. The interest in this field was boosted by the enormous progresses made in recent years in the growth of semiconducting nanowires (NWs) 1,2 and, specifically, by the fact that metastable crystal phases, which in bulk can only be obtained under extreme conditions of temperature and pressure, can be stabilized at room temperature and atmospheric pressure, thanks to a tight control of growth conditions. 3 Many III−V semiconductors, such as arsenides 4−7 and phosphides, 8−11 that in bulk only exhibit the zincblende (ZB) phase, can take the wurtzite (WZ) structure when grown as NWs. Similarly, Si and Ge group-IV semiconductors that in bulk have the 3C cubic-diamond crystal structure can be synthesized in the 2H hexagonal-diamond (i.e., lonsdaleite) polytype. 12−15 The possibility of growing semiconductors in different crystal phases is very appealing, as it might enable novel applications. 16 For instance, ZB GaP has an indirect band gap and thus a limited light emission efficiency, but in WZ GaP NWs, the band gap becomes direct, resulting in a strong photoluminescence. 9 Direct-band gap emission has also been predicted and reported in hexagonal Ge and SiGe alloys, 17,18 materials that have a notoriously poor light emission in the conventional cubic polytype adopted in the bulk. Moreover, in general, different polytypes can present different electronic, 7,19−21 optical, 22−26 and phononic properties. 27−31 48 Perhaps, the most ambitious (and exciting) goal of crystal-49 phase engineering is the design of complex structures by 50 working only (or mostly) with different polytypes of the same 51 material. The co...