The Intrinsic Electronic Transport Properties of Germanene by Ensemble Monte Carlo Simulation
Abstract
Using the Ensemble Monte Carlo (EMC) simulation technique, the electronic transport performance of germanene sheets is explored, where only intrinsic scattering effects are included. The transport properties of the material are obtained where intra- and inter-valley scatterings are considered. The average velocity of carriers as a function of time, the steady state velocity of carriers as a function of applied field curves, and the best linear fits to these curves at low fields at each temperature are made, and the mobility is calculated from the slope of these best lines. The evaluated velocity–electric field characteristics reveal a negative differential resistance (NDR) behavior. Carrier mobility as a function of temperature is obtained, exhibiting consistency with previously reported theoretical findings.
Keywords
Ensemble Monte Carlo, Germanene, Mobility, Scattering, Transport
References
- [1]Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Zhang, Y., Dubonos, S. V., Grigorieva, I. V., & Firsov, A. A. (2004). Electric field effect in atomically thin carbon films. Science, 306(5696), 666–669. https://doi.org/10.1126/science.1102896
- [2]Cahangirov, S., Topsakal, M., Aktürk, E., Şahin, H., & Ciraci, S. (2009). Two- and one-dimensional honeycomb structures of silicon and germanium. Physical Review Letters, 102(23), 236804. https://doi.org/10.1103/PhysRevLett.102.236804
- [3]Şahin, H., Cahangirov, S., Topsakal, M., Bekaroğlu, E., Aktürk, E., Senger, R. T., & Ciraci, S. (2009). Monolayer honeycomb structures of group-IV elements and III–V binary compounds: First-principles calculations. Physical Review B, 80, 155453. https://doi.org/10.1103/PhysRevB.80.155453
- [4] Ni, Z., Liu, Q., Tang, K., Zheng, J., Zhou, J., Qin, R., Gao, Z., Yu, D., & Lu, J. (2012). Tunable bandgap in silicene and germanene. Nano Letters, 12(1), 113–118. https://doi.org/10.1021/nl203065e
- [5] Dávila, M. E., Xian, L., Cahangirov, S., Rubio, A., & Le Lay, G. (2014). Germanene: A novel two-dimensional germanium allotrope akin to graphene and silicene. New Journal of Physics, 16, 095002. https://doi.org/10.1088/1367-2630/16/9/095002
- [6] Li, L., Lu, S-z., Pan, J., Qin, Z., Wang , Y-q., Wang, Y., Cao , G-y., Du, S., and Gao, H.-J. (2014). Buckled Germanene Formation on Pt(111). Advanced Materials, 26, 4820–4824. https://doi.org/10.1002/adma.201400909
- [7] Derivaz, M., Dentel, D., Stephan, R., Hanf, M.-C., Mehdaoui, A., Sonnet, P., & Pirri, C. (2015). Continuous germanene layer on Al(111). Nano Letters, 15, 2510–2516. https://doi.org/10.1021/acs.nanolett.5b00085
- [8] Bampoulis, P., Zhang, L., Safaei, A., van Gastel, R., Poelsema, B., & Zandvliet, H. J. W. (2014). Germanene termination of Ge2Pt crystals on Ge(110). Journal of Physics: Condensed Matter, 26, 442001. https://doi.org/10.1088/0953-8984/26/44/442001
- [9] Houssa, M., Scalise, E., van den Broek, B., Lu, A., Pourtois, G., Afanas’ev, V. V., & Stesmans, A. (2015). Interaction of silicene and germanene with non-metallic substrates. 574, 012015. https://doi.org/10.1088/1742-6596/574/1/012015
- [10] Zhang, L., Bampoulis, P., Rudenko, A. N., Yao, Q., van Houselt, A., Poelsema, B., Katsnelson, M. I., & Zandvliet, H. J. W. (2016). Structural and electronic properties of germanene on MoS₂. Physical Review Letters, 116, 256804. https://doi.org/10.1103/PhysRevLett.116.256804