In this work we show that the incidence angle of group-III elements fluxes plays a significant role on the diffusion-controlled growth of III-V nanowires (NWs) by molecular beam epitaxy (MBE). We present a thorough experimental study on the self-assisted growth of GaAs NWs by using a MBE reactor equipped with two Ga cells located at different incidence angles with respect to the surface normal of the substrate, so as to ascertain the impact of such a parameter on the NW growth kinetics. The as-obtained results show a dramatic influence of the Ga flux incidence angle on the NW length and diameter, as well as on the shape and size of the Ga droplets acting as catalysts. In order to interpret the results we developed a semi-empirical analytic model inspired by those already developed for MBE-grown Au-catalyzed GaAs NWs. Numerical simulations performed with the model allow to reproduce thoroughly the experimental results (in terms of NW length and diameter and of droplet size and wetting angle), putting 1 arXiv:1907.03226v1 [cond-mat.mes-hall] 7 Jul 2019 in evidence that under formally the same experimental conditions the incidence angle of the Ga flux is a key parameter which can drastically affect the growth kinetics of the NWs grown by MBE.
IntroductionGaAs nanowires (NWs) are one of the most promising materials for the integration of III-V semiconductors on Si, since they can be grown by molecular beam epitaxy (MBE) on Si substrates via self-assisted vapor-liquid-solid (VLS) mechanism 1-8 preventing the use of Au catalyst which would jeopardize the electronic and optoelectronic properties of these semiconductors, forming deep-level states in both of them. 9-14 When it comes to MBE, both Au-catalyzed and self-assisted growths of NWs are diffusion-controlled processes. Many theoretical and experimental studies were carried out to understand the growth mechanisms and to identify the parameters influencing the NW structure and the growth kinetics. 2,3,7,[15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] First works have shown that the catalyst droplet volume or shape 15,16,18,27,31 and, more recently, that the droplet wetting angle 20,22,24 do control the NW crystal structure through the location of the nucleation site. Moreover, the volume of the catalyst droplet controls the kinetics of the axial growth through the related capture surface, 25,26,28 and in particular, through the capture area for As in the case of self-assisted GaAs NWs. 18,22 Concerning the NW growth kinetics, the growth models developed so far take into account the Ga flux incidence angle 17,18,22,23,25,26,28,30 but do not demonstrate its influence. In particular, the model of Glas et al 17 for self-assisted GaAs NWs was based on the assumption that the Ga flux adopted is always high enough to supply the Ga droplet, therefore neglecting to consider the influence of the incidence angle of the Ga flux on the amount of