Topological to trivial insulating phase transition in stanene

Abstract

Electronic properties of stanene, the Sn counterpart of graphene are theoretically studied using first-principles simulations. The topological to trivial insulating phase transition induced by an out-of-plane electric field or by quantum confinement effects is predicted. The results highlight the potential to use stanene nanoribbons in gate-voltage controlled dissipationless spin-based devices and are used to set the minimal nanoribbon width for such devices, which is typically approximately 5 nm.

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References

  1. [1]

    Butler, S. Z.; Hollen, S. M.; Cao, L. Y.; Cui, Y.; Gupta, J. A.; Gutiérrez, H. R.; Heinz, T. F.; Hong, S. S.; Huang, J. X.; Ismach, A. F. et al. Progress, challenges, and opportunities in two-dimensional materials beyond graphene. ACS Nano 2013, 7, 2898–2926.

    Article  Google Scholar 

  2. [2]

    Fiori, G.; Bonaccorso, F; Iannaccone, G.; Palacios, T.; Neumaier, D.; Seabaugh, A.; Banerjee, S. K.; Colombo, L. Electronics based on two-dimensional materials. Nat. Nanotechnol. 2014, 9, 768–779.

    Google Scholar 

  3. [3]

    Schwierz, F.; Pezoldt, J.; Granzner, R. Two-dimensional materials and their prospects in transistor electronics. Nanoscale 2015, 7, 8261–8283.

    Article  Google Scholar 

  4. [4]

    Lin, Y. M.; Dimitrakopoulos, C.; Jenkins, K. A.; Farmer, D. B.; Chiu, Y. H.; Grill, A.; Avouris, Ph. 100-GHz transistors from wafer-scale epitaxial graphene. Science 2010, 327, 662.

    Article  Google Scholar 

  5. [5]

    Kang, K.; Xie, S.; Huang, L. J.; Han, Y. M.; Huang, P. Y.; Mak, K. F.; Kim, C. J.; Muller, D.; Park, J. High-mobility three-atom-thick semiconducting films with wafer-scale homogeneity. Nature 2015, 520, 656–660.

    Article  Google Scholar 

  6. [6]

    Vogt, P.; De Padova, P.; Quaresima, C.; Avila, J.; Frantzeskakis, E.; Asensio, M. C.; Resta, A.; Ealet, B.; Le Lay, G. Silicene: Compelling experimental evidence for graphenelike twodimensional silicon. Phys. Rev. Lett. 2012, 108, 155501.

    Article  Google Scholar 

  7. [7]

    Tao, L.; Cinquanta, E.; Chiappe, D.; Grazianetti, C.; Fanciulli, M.; Dubey, M.; Molle, A.; Akinwande, D. Silicene field-effect transistors operating at room temperature. Nat. Nanotechnol. 2015, 10, 227–231.

    Google Scholar 

  8. [8]

    Houssa, M.; Dimoulas, A.; Molle, A. Silicene: A review of recent experimental and theoretical investigations. J. Phys.: Condens. Matter 2015, 27, 253002–253020.

    Google Scholar 

  9. [9]

    Dávila, M. E.; Xian, L.; Cahangirov, S.; Rubio, A.; Le Lay, G. Germanene: A novel two-dimensional germanium allotrope akin to graphene and silicene. New J. Phys. 2014, 16, 095002.

    Google Scholar 

  10. [10]

    Xu, Y.; Yan, B. H.; Zhang, H. J.; Wang, J.; Xu, G.; Tang, P.; Duan, W.; Zhang, S. Z. Large-gap quantum spin hall insulators in tin films. Phys. Rev. Lett. 2013, 111, 136804.

    Article  Google Scholar 

  11. [11]

    Wu, S. C.; Shan, G. C.; Yan, B. H. Prediction of near-roomtemperature quantum anomalous Hall effect on honeycomb materials. Phys. Rev. Lett. 2014, 113, 256401.

    Article  Google Scholar 

  12. [12]

    Suarez Negreira, A.; Vandenberghe, W. G.; Fischetti, M. V. Ab initio study of the electronic properties and thermodynamic stability of supported and functionalized two-dimensional Sn films. Phys. Rev. B 2015, 91, 245103.

    Google Scholar 

  13. [13]

    van den Broek, B.; Houssa, M.; Scalise, E.; Pourtois, G.; Afanas’ev, V. V.; Stesmans, A. Two-dimensional hexagonal tin: ab initio geometry, stability, electronic structure and functionalization. 2D Materials 2014, 1, 021004.

    Article  Google Scholar 

  14. [14]

    Zhu, F. F.; Chen, W. J.; Xu, Y.; Gao, C. L.; Guan, D. D.; Liu, C. H.; Qian, D.; Zhang, S. C.; Jia, J. F. Epitaxial growth of two-dimensional stanene. Nat. Mater. 2015, 14, 1020–1025.

    Google Scholar 

  15. [15]

    Xu, Y.; Tang, P. Z.; Zhang, S. C. Large-gap quantum spin Hall states in decorated stanene grown on a substrate. Phys. Rev. B 2015, 92, 081112.

    Google Scholar 

  16. [16]

    Giannozzi, P.; Baroni, S.; Bonini, N.; Calandra, M.; Car, R.; Cavazzoni, C.; Ceresoli, D.; Chiarotti, G. L.; Cococcioni, M.; Dabo, I. et al. Quantum espresso: A modular and open-source software project for quantum simulations of materials. J. Phys.: Condens. Matter 2009, 21, 395502.

    Google Scholar 

  17. [17]

    Perdew, J. P.; Burke, K.; Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 1996, 77, 3865–3868.

    Article  Google Scholar 

  18. [18]

    Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 1994, 50, 17953–17979.

    Google Scholar 

  19. [19]

    Ezawa, M. A topological insulator and helical zero mode in silicene under an inhomogeneous electric field. New J. Phys. 2012, 14, 033003.

    Google Scholar 

  20. [20]

    Kane, C. L.; Mele, E. J. Quantum spin Hall effect in graphene. Phys. Rev. Lett. 2005, 95, 226801.

    Article  Google Scholar 

  21. [21]

    Min, H.; Hill, J. E.; Sinitsyn, N. A.; Sahu, B. R., Kleinman, L.; MacDonald, A. H. Intrinsic and Rashba spin-orbit interactions in graphene sheets. Phys. Rev. B 2006, 74, 165310.

    Article  Google Scholar 

  22. [22]

    Liu, C. C.; Jiang, H.; Yao, Y. G. Low-energy effective Hamiltonian involving spin-orbit coupling in silicene and two-dimensional germanium and tin. Phys. Rev. B 2011, 84, 195430.

    Article  Google Scholar 

  23. [23]

    Barone, V.; Hod, O.; Scuseria, G. E. Electronic structure and stability of semiconducting graphene nanoribbons. Nano Lett. 2006, 6, 2748–2754.

    Article  Google Scholar 

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Correspondence to Michel Houssa.

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Houssa, M., van den Broek, B., Iordanidou, K. et al. Topological to trivial insulating phase transition in stanene. Nano Res. 9, 774–778 (2016). https://doi.org/10.1007/s12274-015-0956-y

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Keywords

  • two-dimensional (2D) materials
  • topological insulators
  • density functional theory (DFT) simulations
  • electronic structure