SUPPLEMENTAL INFORMATION for Three-dimensional nanoscale study of Al segregation and quantum dot formation in GaAs/AlGaAs core-shell nanowires L. Mancini1, Y. Fontana2, S. Conesa-Boj2, I. Blum1, F. Vurpillot1, L. Francaviglia2, E. RussoAverchi2, M. Heiss2, J. Arbiol3,4, A. Fontcuberta i Morral2, L. Rigutti1 1 Groupe de Physique des Matériaux, UMR CNRS 6634, University and INSA of Rouen, Normandie University, 76800 St. Etienne du Rouvray, France 2 Laboratoire des Matériaux Semiconducteurs, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland 3 Institut de Ciència de Materials de Barcelona (ICMAB-CSIC), Campus de la UAB, 08193 Bellaterra, CAT, Spain 4 Institució Catalana de Recerca i Estudis Avançats (ICREA), 08010 Barcelona, CAT, Spain 1. Nanowire growth details The nanowire core-shell structures were grown by the Ga-assisted method using a DCA P600 Molecular beam epitaxy machine. The GaAs nanowire core structures were obtained at a temperature of 640 °C under a flux of Ga equivalent to a planar growth rate of 0.03 nm s −1 and a V/III flux ratio of 60. After one hour of growth, the conditions were switched to radial growth by increasing the As pressure to 2x10-5 mbar and reducing the substrate temperature down to 460C. Multi shells with a thickness of 50 nm were grown by alternating AlxGa1−xAs (3) and GaAs (2). The Al composition (correspondent to the AlAs alloy fraction in the main text) was x = 0.33. The last AlxGa1−xAs layer was capped with 5 nm GaAs to prevent oxidation. S-1 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires 2. Sample preparation protocol The core-shell nanowires were thus prepared for the experiment in the following way. (i) As a first step, sharp tungsten (W) tips were prepared by electrochemical polishing in NaOH; subsequently, a 400 nm wide and 4-5 µm long cut was milled by focused ion beam (FIB) along their axis. (ii) Single NWs were collected with the prepared W tips by micromanipulation under an optical microscope. As shown in fig. 1-(d) of the main text, the cut in the W tip allowed for a good alignment of the NW along the tip axis. This minimizes the stress related to the application of an intense electric field in the atom probe, which can easily lead to sample failure at the first stages of analysis. (iii) The NWs were glued to the W tip either by FIB-assisted Pt-C soldering or by conductive epoxy and (iv) the NW tip was eventually sharpened by FIB annular milling at 30 keV followed by a cleaning step at 2kV. This procedure yields a tip shape as shown in fig. 1-(d) of the main text and with a minimal amount of implanted Ga limited to the first few nanometers from the tip surface. 3. Considerations on tip reconstruction in atom probe tomography The analyzed sample NW1 tip is shown in the scanning electron microscopy (SEM) images of fig. [S1] before and after the APT analysis. The comparison of the tip shape before and after the analysis allows for the best possible 3D reconstruction. This data acquisition took around 5h, with around 5 millions of atoms collected. The tip was reconstructed with the so-called standard E-ϐ algorithm [1], with the following parameters: curvature factor 1.00, projection point m+1=1.6, E-ϐ factor E-ϐ=21 V/Å and detector efficiency =0.30. The best reconstruction was obtained by comparing the tip shapes before and after APT analysis. It is worth noticing that a correct reconstruction depth was only retrieved by S-2 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires assuming a detector efficiency equal to about one half of the theoretical efficiency, meaning that one over two atoms from the analyzed volume are lost either as uncorrelated evaporated ions or as neutrally evaporated/desorbed species. This mechanism has already been found in InGaN/GaN multiQW specimens, but should still be investigated in non-nitride III-V materials [2]. Notice that due to the fragility of the tips, often the APT analysis was performed until the tip flashed. Thus, for several analyzed tips only the SEM image of the tip before APT is available. However, as all tips were analyzed within a limited range of experimental parameters (detection rate, temperature and laser power), the reconstruction parameters have been assumed as stable – with the exception of the E-ϐ factor, which is function of the known tip radius before the analysis . Figure [S-1]. SEM images of the field-emission tip NW1 (a) before and (b) after APT analysis. (c) shows the superposition of a) and b), evidencing the evaporated part of the tip. 4. Analyzed tips, experimental conditions and main observations in Atom Probe The detailed information about the analyzed tips in terms of APT experimental parameters is reported in table S-I; It is worth noticing that only tips NW1 and NW3 could be analyzed without S-3 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires being flashed. Tip NW3 was analyzed twice (run NW3-I and NW3-II) and eventually flashed during the second run. The tips were analyzed under green (λ=515 nm) fs laser pulses, keeping the laser energy per pulse in the range 15-80 pJ (1 pJ corresponds to a peak intensity of around 0.22 mW/µm 2 during the 140 fs pulse). A typical mass histogram is reported in fig. [S-2]. The species occurring with highest frequency are Al1+, Ga1+, and different atomic and molecular cluster As-containing species. Ga2+ is present in concentrations under 1%, while events corresponding to unidentified ions and background noise constitute about 1.8% of the counts. Ga1+ Al1+ 105 Counts 4 10 Al 2+ As As1+ 2+ As32+ As21+ As31+ As52+ 3 10 102 101 0 20 40 60 80 100 150 200 250 Mass/Charge ratio (amu) Figure [S-2].A typical mass spectrum issued from the atom probe analysis of a nanowire sample. S-4 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires Table S-I: Details of analyzed samples and experimental conditions. All runs have been performed at al laser wavelength λ=515 nm and at a constant detection rate =2 x 10-3 Ions/pulse. Sample Tip NW1 Millions of atoms collected and (State of the tip after analysis) Depth (nm) x Width (nm) of analysis T (K) Laser pulse energy 5.7 200x40 60 30 1 Al segregation area at the hexagon edge, no evidence of QDs. 270x64 60 72 2 Al segregation areas at the hexagon edges well defined. Fluctuation of Al concentration near the base of the analyzed area. 145x40 50 30 2 Al segregation areas visible but rougher than in sample A. No alloy fluctuations can be related to the presence of QD. 342x47 40 30 Better defined Al seg. areas than in the volume analyzed at 50K (C-I) but still rougher than in sample A. One of the two segregation areas is considerably rougher, with strong AlAs alloy fluctuations, than the other. Presence of a QD close ot the Al-rich region on one of the hexagon corners. 188x52 40 15 2 Al segregation areas at the hexagon edges are visible. Segregation outside the two main areas may be due to artefacts. No QD could be assessed. Main observations (pJ) (Preserved) NW2 16.7 (Flashed) NW3-I 3.3 (Preserved) NW3-II 8.5 (Flashed) NW4 13.0 (Flashed) 5. Atom Probe analysis of sample NW1 The 3D reconstructed volume issued by the second APT analysis of sample NW1 is reported in fig.[S3]. The analyzed region was centered at the interface between the innermost AlGaAs shell and one intermediate GaAs shell. The interface between the GaAs shell and an outer AlGaAs shell is also visible, though very close to the limit of the field of view. As in sample NW3 shown in the main text, Al segregation occurs on the planes crossing the hexagon vertices along the (101) planes. S-5 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires Figure [S-3].(a) 3D reconstruction of APT data issued from sample NW1 and (b) 2D AlAs alloy fraction maps defined for the three 2 nm thick slices displayed in (a). An animated version of the 3D reconstructed volume is also available as a supporting information video. For sample NW1, the Al segregation along the planes crossing the hexagon vertices can be assessed through the proximity histogram reported in fig. [S-4], which was calculated as follows: first, an isoconcentration surface is defined by a threshold Al elemental concentration of 30%; then, the elemental concentration is calculated as a function of the distance from this surface. The proxigram shows that the Al concentration can become as high as 80% in the segregation volume, with an interface defined over around 2 nm. These data are consistent with those relative to sample NW3 reported in the main text. S-6 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires 140 Element fraction (at %) 60 x=0 in correspondence of the isoconcentration surface with 30% Al threshold concentration 120 100 40 80 60 20 40 AlAs, GaAs fraction (%) Al % Ga % As % 20 0 0 -10 -8 -6 -4 -2 0 2 Distance (nm) Figure [S-4]. Proximity histogram showing the concentration profile across the iso-concentration surface defined by the threshold elemental Al concentration of 30% (60% AlAs fraction) in sample NW1 : the region at x>0 corresponds to the Al segregation region on the plane connecting the vertices of the hexagons. 6. Analysis of alloy fluctuations and interface definition in the Al-rich segregation region In the following, we report the results of the characterization of the Al-rich segregation region defined along the planes connecting the internal and external vertices of the hexagon in an AlGaAs shell. This analysis was motivated by previous scanning transmission electron microscopy (STEM) analyses indicating that Ga-rich regions (i.e. quantum dots) could form at the external edge of the Alsegregation line, at the interface with the GaAs shell [3]. We could not perform an analogous observation by APT, possibly because of the relatively small total volume analyzed. However, we could ascertain that the interface of the Al segregation planes present a certain roughness and alloy fluctuations, which could be related to the formation of the QDs observed in ref. [3]. Sample NW2 The reconstructed volume of sample NW2 allows for the identification of two hexagon edges, for both of which the Al segregation area can be easily identified. In fig. [S-5], the 3D distribution of Al S-7 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires atoms is presented. The isoconcentration surface, defined for a threshold Al elemental concentration of 22%, envelops the high Al concentration region along the hexagon edge. Figure [S-5]. APT analysis of sample NW2: (a) 3D reconstruction of the Al distribution (blue dots) in a side view without and (b) with a superposed isoconcentration surface defined by the threshold of Al elemental concentration equal to 22% (~44% AlAs alloy fraction)); (c,d) Same as (a,b) but top view. In figure [S-6], we report a series of isosurface with progressively increasing Al threshold concentration. From these isosurfaces, some points can be identified (e.g. the one marked by the red arrow) where the spatial fluctuations of the Al concentration are more pronounced. For these regions, we applied then a 2D concentration analysis on slices parallel and perpendicular to the NW axis. The details of the distribution are reported in figs. [S-7] and [S-8]. Within this wire, we found no evidence of QD formation. However, the spatial fluctuations we assessed could be related to QD formation: it is possible that QDs only form where these fluctuations become more pronounced. This could happen quite rarely along a single nanowire, as previous cathodoluminescence (CL) analysis showed [3]. S-8 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires Figure [S-6] Isoconcentration surfaces with progressively higher Al elemental concentration (i.e. half of the AlAs alloy fraction) threshold indicating fluctuations in the spatial definition of the Al-rich region at the hexagon edge in sample NW2. The red arrow indicates a feature potentially related with the mechanism of formation of QDs at the corner of the shell hexagon. Figure [S-7] Sample NW2: 2D distribution of Al within a slice parallel to the high concentration region along the hexagon edge (a) with and (b) without a 21%-Al isosurface superposed. The red arrow indicates the same location as in the previous figure. The color scale indicates the Al elemental concentration (approximately 1/2 of the AlAs alloy fraction). S-9 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires Figure [S-8] Sample NW2: 2D distribution of the Al atoms in slices approximately perpendicular to the NW axis, around the location indicated by the red arrow in this and in the previous images. No evidence of QD can be assessed. The color scale indicated the Al elemental concentration ( ½ of the AlAs alloy fraction). Note on the protrusion of the Al-rich region at the corner of the hexagon. From the 2D concentration maps shown in fig. [S-7], it seems that the Al-rich region tends to protrude towards the surrounding GaAs shell (but also, more moderately, towards the inner GaAs shell). This is a residual reconstruction artifact known as “local magnification effect” and is due to the different evaporation fields of the GaAs and of the AlGaAs phase [1] [4]. The Al richer regions may be slightly distorted and look larger than the al-poorer regions. At present, there are no ways to completely eliminate this sort of artifacts in complex 3D structures with abrupt phase interfaces; in our case, the effect was limited by a careful choice of the experimental parameters and does not play any role in the assessment of QD formation and interface roughness. Sample NW3 The 3D analysis of the Al segregation regions imaged by APT in sample NW3-II is reported in fig. [S-9]. This sample exhibits similar structural features as the previously shown sample NW2. In the figure, we show the position of the two boxes (5 nm thick) over which the Al elemental concentration was S-10 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires mapped in the 2D color plots. Box 1 shows a more regular distribution than box2. In box 2, in particular, it is possible to identify strong alloy fluctuations which correspond to Al-poorer regions with a size of several nanometers. However, the AlAs fraction in these regions was still quite high, around 15-20%, and therefore hardly compatible with a properly defined QD. Figure [S-9] (a) 3D distribution of Al atoms in sample NW3, with the position of the two 5 nm thick boxes used for the concentration mapping along the Al-rich region of the AlGaAs shell; (b) same as (a) but with 22% Al isosurfaces superposed; (c) 2D Al elemental concentration extracted from box 1 and (d) extracted from box 2; (e) zoom of (d) in a region exhibiting strong concentration fluctuations at the interface between the Al-rich region of the AlGaAs shell and the GaAs surrounding shell. S-11 Supplemental information 3D atom probe analysis of Al segregation and quantum dot formation in GaAs/AlGaAs core-multishell nanowires References [1] F. Vurpillot, B. Gault, B. Geiser et D. J. Larson, «Reconstructing atom probe data: A review,» Ultramicroscopy, vol. 132, pp. 19-30, 2013. [2] L. Mancini, N. Amirifar, D. Shinde, I. Blum, M. Gilbert, A. Vella, ... et L. Rigutti, «Composition of Wide Bandgap Semiconductor Materials and Nanostructures Measured by Atom Probe Tomography and Its Dependence on the Surface Electric Field,» Journal of Physical Chemistry C, vol. 118, n° %141, pp. 24136-24151, 2014. [3] M. Heiss, Y. Fontana, A. Gustafsson, ... et A. Fontcuberta i Morral, «Self-assembled quantum dots in a nanowire system for photonics,» Nature Materials, 2012. [4] F. Vurpillot, M. Gruber, G. Da Costa, I. Martin, L. Renaud et A. Bostel, «Pragmatic reconstruction methods in atom probe tomography,» Ultramicroscopy, vol. 111, p. 1286, 2011. S-12