title: Quantum Spin Hall States in Stanene/Ge(111).
abstract: For topological insulators to be implemented in practical applications, it is a prerequisite to select suitable substrates that are required to leave insulators' nontrivial properties and sizable opened band gaps (due to spin-orbital couplings) unaltered. Using ab initio calculations, we predict that Ge(111) surface qualified as a candidate to support stanene sheets, because the band structure of √3 × √3 stanene/Ge(111) (2 × 2) surface displays a typical Dirac cone at Γ point in the vicinity of the Fermi level. Aided with the result of Z2 invariant calculations, a √3 × √3 stanene/Ge(111) (2 × 2) system has been proved to sustain the nontrivial topological phase, with the prove being confirmed by the edge state calculations of stanene ribbons. This finding can serve as guidance for epitaxial growth of stanene on substrate and render stanene feasible for practical use as a topological insulator.
authors.affiliation: Department of Physics, Xiamen University, Xiamen 361005, China.|Institute of Theory Physics and Astrophysics, Xiamen University, Xiamen 361005, China.
authors.forename: Yimei
authors.initials: Y
authors.lastname: Fang
authors.affiliation: Department of Physics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan.
authors.forename: Zhi-Quan
authors.initials: ZQ
authors.lastname: Huang
authors.affiliation: Department of Physics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan.
authors.forename: Chia-Hsiu
authors.initials: CH
authors.lastname: Hsu
authors.affiliation: Department of Physics, Xiamen University, Xiamen 361005, China.|Institute of Theory Physics and Astrophysics, Xiamen University, Xiamen 361005, China.
authors.forename: Xiaodan
authors.initials: X
authors.lastname: Li
authors.affiliation: Department of Physics, Xiamen University, Xiamen 361005, China.|Institute of Theory Physics and Astrophysics, Xiamen University, Xiamen 361005, China.
authors.forename: Yixu
authors.initials: Y
authors.lastname: Xu
authors.affiliation: Department of Physics, Xiamen University, Xiamen 361005, China.
authors.forename: Yinghui
authors.initials: Y
authors.lastname: Zhou
authors.affiliation: Department of Physics, Xiamen University, Xiamen 361005, China.|Institute of Theory Physics and Astrophysics, Xiamen University, Xiamen 361005, China.
authors.forename: Shunqing
authors.initials: S
authors.lastname: Wu
authors.affiliation: Department of Physics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan.
authors.forename: Feng-Chuan
authors.initials: FC
authors.lastname: Chuang
authors.affiliation: Department of Physics, Xiamen University, Xiamen 361005, China.|Institute of Theory Physics and Astrophysics, Xiamen University, Xiamen 361005, China.|Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, Xiamen 361005, China.
authors.forename: Zi-Zhong
authors.initials: ZZ
authors.lastname: Zhu