Supporting Information for. Interfacial Electronic States and Self-Formed p-n Junctions in

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Electronic Supplementary Material (ESI) for Journal of Materials Chemistry C. This journal is The Royal Society of Chemistry 2018 Supporting Information for Interfacial Electronic States and Self-Formed p-n Junctions in Hydrogenated MoS 2 /SiC Heterostructure Qinglong Fang a, Xumei Zhao b, Yuhong Huang c, Kewei Xu a,d, Tai Min a, Paul K. Chu e,*, Fei Ma a,e,* a State Key Laboratory for Mechanical Behavior of Materials, Xi an Jiaotong University, Xi an 710049, Shaanxi, China b College of Materials Science and Engineering, Shaanxi Normal University, Xi an 710062, Shaanxi, China c College of Physics and Information Technology, Shaanxi Normal University, Xi an 710062, Shaanxi, China d Department of Physics and Opt electronic Engineering, Xi an University of Arts and Science, Xi an 710065, Shaanxi, China e Department of Physics and Department of Materials Science and Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China * Corresponding authors. E-mail addresses: mafei@mail.xjtu.edu.cn (F. Ma); paul.chu@cityu.edu.hk (Paul K. Chu). 1

Fig. S1. Optimized geometries for 4 4 1 supercell of monolayers (a) MoS 2 and (b) SiC. 2

Table S1 Bond lengths of Si-C (L Si-C ), C-H (L C-H ), and Si-H (L Si-H ), and buckling height h (Å) of SiC sheet with or without hydrogenation. System L Mo-S (Å) L Si-C (Å) L Si-H (Å) L C-H h (Å) (Å) SiC 1.787 H-SiC 1.858 1.524 0.379 SiC-H 1.878 0.903 0.473 H-SiC-H 1.891 1.108 1.496 0.574 3

Fig. S2. Top and side views of the MoS 2 /SiC heterostructure with different stacking configurations: (a) Mo and S atoms over Si and C atoms, respectively; (b) Mo and S atoms over Si atoms and hollow sites, respectively; (c) Mo and S atoms over C atoms and hollow sites, respectively; (d) Mo and S atoms over C and Si atoms, respectively; (f) Mo and S atoms over hollow sites and Si atoms, respectively; (f) Mo and S atoms over hollow sites and C atoms, respectively. 4

Fig. S3. Binding energy per S atom of MoS 2 /SiC as a function of the interlayer distance (d 0 ) between the topmost S atom of MoS 2 and SiC in the MoS 2 /SiC heterostructure. To evaluate the interfacial interaction, the binding energy between monolayer MoS 2 and the SiC substrate is calculated as E E E E ), in which, E, and ( N 2 2 b MoS /SiC MoS SiC / S EMoS 2 /SiC MoS2 are energies of the MoS 2 /SiC heterostructure, isolated monolayer MoS 2, and monolayer SiC, ESiC respectively, N S is the number of S atoms in the supercell of MoS 2 /SiC heterostructure. If E b is negative, the configuration should be stable, and the larger the absolute value is, the stronger is the interaction between monolayer MoS 2 and SiC. As shown in Fig. S3, all the six stacking configurations have the negative E b value, indicating that the MoS 2 /SiC heterostructure is energetically favorable. Although the absolute value of binding energy of the MoS 2 /SiC heterostructure is slightly larger than that of monolayer MoS 2 on silicene (-64 mev per S atom) and on germanene (-71 mev per S atom), 1 MoS 2 is bonded onto SiC via van der Waals interaction. The interlayer distance (d 0 ) changes in the range of 2.928-3.637 Å, characteristic of physical adsorption between monolayer MoS 2 and SiC, and the in plane structure changes little. 5

Fig. S4. Optimized structures of partially hydrogenated SiC sheet: (a) H-SiC and (b) SiC-H, and (c) and (d) the band structures, (e) and (f) the magnetic densities. Black and red lines are used to indicate the spin-up and spin-down channels, respectively. The Fermi level is set at 0 ev. The red surface corresponds to the magnetic density isosurface of 0.02 eå -3. SiC is partially hydrogenated on Si sites (labeled as H-SiC) or C sites (labeled as SiC-H), the optimized structures and structural parameters are given in Fig. S4 and Table S1, respectively. The lattice constants of H-SiC and SiC-H are a=b=3.151 Å and a=b=3.147 Å, respectively, that is, they are enlarged upon hydrogenation. Moreover, the hybridization states are changed from sp 2 to sp 3. The optimized Si-H/C-H bond length in H-SiC/ SiC-H is 1.524 Å/0.903 Å, and the buckling heights on H-SiC and SiC-H are 0.379 Å and 0.473 Å, respectively. 2 The partially hydrogenated SiC is still a semiconductor, and spin polarization emerges (Fig. S4c,d). In essential, hydrogenation on Si (C) atoms produces Si-H (C-H) bonds and the dangling bonds of C (Si) atoms on surface are spin unpaired. The spin polarization is localized on Si and H in SiC-H and H-SiC, respectively (Fig. S4e,f). 6

Fig. S5. Magnetization density of MoS 2 on the half-hydrogenated SiC. The red surface corresponds to the spin density isosurface of 0.01 /Å 3. 7

Fig. S6. The density of states of the MoS 2 -b and MoS 2 -t in MoS 2 -H-SiC-MoS 2 -based device with Au as the electrode. References 1 M. Brandbyge, J. -L. Mozos, P. Ordejón, J. Taylor and K. Stokbro, Phys. Rev. B: Condens. Matter Mater. Phys., 2002, 65, 165401. 2 Y. Ma, L. Kou, A. Du and T. Heine, Nano Res., 2015, 8, 3412-3420. 8