SUPPORTING INFORMATION FOR Improvement of the electrical contact resistance at rough interfaces using two dimensional materials Jianchen Hu1,a, Chengbin Pan1,a,Heng Li2, Panpan Shen3, Hui Sun3, Huiling Duan3, Mario Lanza1* 1 Institute of Functional Nano and Soft Materials (FUNSOM), Soochow University, Suzhou 215123, China.2Department of Physics, State Key Laboratory for Mesoscopic Physics, Peking University, Beijing 100871, China. 3 State Key Laboratory for Turbulence and Complex System, Department of Mechanics and Engineering Science, CAPT, College of Engineering, Peking University, Beijing 100871, China. a Equal contribution EXPERIMENTAL DETAILS Chemicals: The chemicals Zinc Acetate (Zn(AC)2), diethanol amine (DEA), Zinc nitrate (Zn(NO3)2 • 6H2O), HexamethyleneTetramine (HMTA) and Poly-methyl methacrylate (PMMA) were purchased from Sigma-Aldrich. Ethyl lactate, iron trichloride (FeCl3), ammonia water and hydrochloride (HCl) were produced by Sinopharm Chemical Reagent Beijing Co. Ltd. PMMA was dissolved in Ethyl lactate at 60 oC to form solution with the concentration of 3%. FeCl3 was dissolved in diluted HCl to form the mixture solution with the FeCl3 concentration of 0.6 M and HCl concentration of 0.72 M, respectively. All chemicals were used as received. Preparation of graphene: The graphene single layer was grown in low pressure chemical vapor deposition (LPCVD) system on a 25 µm thick Cu foil (from Alfa Aesar). The Cu foil was preprocessed at 1000 °C for 40 min under H2 flow (20 sccm) and then kept at 1000 ºC for 10 min to remove Cu oxide from the surface. During the graphene growth process, methane (10 sccm) was introduced into the system to grow graphene for 20-30 min. Preparation of ZnO nanowire arrays: (1) Seed layer deposition: i) Mixture solution of Zinc Acetate (0.1 M) and diethanol amine 0.1 M in ethanol was spin coated on p-type silicon substrate (3000 rpm). The obtained sample was annealed at 385 °C for 20 minutes for decomposition of zinc acetate into ZnO. (2) ZnO nanowire array growth: Ammonia water was added in mixture solutuin of zinc nitrate (0.1 M) and HMTA (0.1 M) in DI water until the solution getting clarifying. Immerse the substrate prepared in (1) in the solution prepared in (2) which was contained in hydrothermal synthesis reactor, and heat the hydrothermal synthesis reactor to 90 centigrade for 6 hours. Transfer graphene single layer to ZnO nanowire array: The GSL/Cu stack sample was spin-coated with a 150-200 nm thick PMMA film, after which the coated sample was etched in the mixture solution of FeCl3 and HCl. Cu foil fully dissolving, the PMMA-graphene film was lifted from the solution and washed in pure water and then transferred onto the ZnO nanowire array. After the film was dried up, PMMA was removed by hot acetone. Morphology characterization: SEM images were captured with a Hitachi S-4800 scanning electron microscope. AFM characterization of graphene has been made using the Seiko 3000 atomic force microscope working in a high vacuum environment of 10−7torr and using Pt-Ir coated Silicon AFM tips (k =0.2 N/m) and doped-Diamond coated Silicon AFM tips (k =2.8 N/m) from Bruker. The software used to analyze the images collected with the AFM was the WSxM 5.0 Develop 6.1 from Nanotec. [1]. Characterization of residual PMMA at the graphene edges: The presence of rests of polymer from the transfer process has been sporadically observed at the graphene edges. After the graphene transfer, the PMMA layer is etched using acetone vapor. Despite most of the graphene surface is PMMA-free after this step, we sporadically observe rests of PMMA at the graphene edges. Figure S1. SEM image of an area of the NWs sample partially covered with graphene. The top left corner is free of graphene, while the bottom right is totally covered by graphene. The dark area in the center is residual PMMA from the transfer process, which is more difficult to be etched at the graphene edge. We characterize the excess of PMMA at the edges by means of EDX surveys, and we observe an increase in the Carbon signal. Moreover, in Figure S1 we show that the remaining PMMA is much thicker than the graphene sheet, which impedes the correct observation of the underlying nanowires. Figure S2. EDX surveys captured at graphene-free NWs array (black curve, top-left of Figure S1), graphene-covered NWs (green curve, bottom-right area of Figure S1) and PMMA-covered graphene edge (red curve, central area of Figure S1). Panels (a), (b) and (c) of this figure correspond to Carbon, Oxygen and Zinc signals. The signal of carbon at graphene edge is much stronger than that of the other two locations. This demonstrates the residual PMMA at the graphene edge is more difficult to be etched, leading to worse observation of NWs beneath. Figure S3: Preview of the FIG. 3a in the manuscript. The small gaps between the nanowires can be clearly distinguished. (The area of the image is 5 μm × 5 μm, and the insert square is 1 μm × 1 μm) Physical and electronic interaction between graphene and the nanowires: When a piezoelectric ZnO nanowire bents (moved by the AFM tip), potentials of opposite polarities are generated at the compressed and elongated surfaces (Figure S4a). If a metallic particle is deposited on the top of a nanowire connecting all the points of its surface, the electronic potential may be neutralized, as previously suggested by Wang et al. [Ref. 7 in the manuscript] (Figure S4b). In our experiments, we observe that the use graphene as top electrode not only doesn't compensate the piezoelectric potentials, but it also increases the number of points showing large currents. Considering the exceptional conductivity of graphene, and by looking at the current images recorded with the CAFM, the only possible explanation for this behavior (at this point) is that graphene sheet may not be fully attached to the top part of the nanowires, but only contacts the surface of the NW at the subjection points (sides of the NW), leading to a small nanogap between them (Figure S4c, top). The presence of nanogaps in graphene-covered materials has been previously observed [Ref. 24 in the manuscript]. Under this situation, it may be reasonable to believe that, when the NW bends as due to the contact with the AFM tip, the graphene may detach from the compressed (or elongated) area, avoiding potential neutralization (Figure S4c). Further studies should be conducted to fully clarify this behavior, which are out of the scope of this letter. In any case, the presence of larger currents in the graphene-coated NWs array is evident and repetitive from CAFM maps. Figure S4. Proposed model for GSL/NW contact. Free-standing (top) and bent (bottom) nanowires without top electrode (a), with a metallic top electrode deposited on the nanowire (b) and with graphene electrode (c). The graphene only contacts one side of the nanowire, so that the potential is not neutralized, and currents can be collected, in agreement with Figure 4b of the manuscript. Additional Reference [1] Horcas, I.; Fernandez, R.;Gómez-Rodríguez, J.;Gómez-Herrero, J.;Baro, A. WSXM: A Software for Scanning Probe Microscopy and a Tool for Nanotechnology. Rev. Sci. Instrum.2007,78, 013705.