Triangular potential effects on the fermi velocity renormalization in 8-Pmmn borophene

A novel mechanism has been reported for the intrinsic electronic properties of the 8-Pmmn Borophene to investigate the electronic energy spectrum and spectrum parameters of the structure. To examine the structure, we extract the energy spectrum of the Hamiltonian for the monolayer borophene by using analytical method. Additionally, for the intrinsic properties, first we obtained the bare Fermi velocity which findings of the study are consistent with experimental results. After obtained the bare state Fermi velocity 8-Pmmn borophene, dressed with triangular potential and renormalized Fermi velocity has been obtained. Corresponding renormalized Fermi velocity reshaped with the triangular potential which has non-negligible contribution to the intrinsic properties of borophene. This finding has important implications for developing electronic devices which made from the boron due to increasing the controllability of the structure.

Keywords:

8-Pmmn Borophene, Fermi velocity Triangular potential,

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[1] Novoselov K. S., Geim A. K., Morozov S. V., Jiang D., Zhang Y., Dubonos S. V., Grigorieva I. V., Firsov A. A., Electric field effect in atomically thin carbon films, Science 306, 666–669, 2004.
[2] Yao Y., Ye F., Qi X. L., Zhang S. C., Fang Z., Spin-orbit gap of graphene: Firstprinciples calculations, Phys. Rev. B 75, p. 041401(R), 2007.
[3] Boettger J. C. Trickey S. B., First-principles calculation of the spin-orbit splitting in graphene, Phys. Rev. B 75, p. 121402(R), 2007.
[4] Shakouri K., Masir M. R., Jellal A., Choubabi E., Peeters F., Effect of spin-orbit couplings in graphene with and without potential modulation, Phys. Rev. B 88, p. 115408, 2013.
[5] Kandemir B. S., Akay D., The effect of electron-A1g phonon coupling in spin–orbit-coupled graphene, Philos. Mag 97, 2225, 2017.
[6] Akay D., Trigonal warping and photo-induced effects on zone boundary phonon in monolayer graphene, Superlattices Microstruct., 117, 18-24, 2018.
[7] Kandemir B. S., Akay D., Photoinduced Dynamical Band Gap in Graphene: The Effects of Electron–Phonon and Spin–Orbit Interaction, Phys. Status Solidi B , 255(10), 2018.
[8] Auer C., Schürrer F., Ertler C., Hot phonon effects on the high-field transport in metallic carbon nanotubes, Phys. Rev. B, 74, 165409, 2006.
[9] Lazzeri M., Mauri F., Coupled dynamics of electrons and phonons in metallic nanotubes: Current saturation from hot-phonon generation, Phys. Rev. B 73, 165419, 2006.
[10] Xia F., Wang H., Xiao D., Dubey M., Ramasubramaniam A., Two‐Dimensional Material Nanophotonics, Nat. Photonics, 8 (12), 899–907, 2014.
[11] Gupta A., Sakthivel T., Seal S. Recent development in 2D materials beyond graphene, Prog. Mater. Sci., 73, 44–126, 2015.
[12] Niu T., Li A. From two‐dimensional materials to heterostructures, Prog. Surf. Sci., 90, 21–45, 2015.
[13] Mas‐Ballesté R., Gómez‐Navarro C., Gómez‐Herrero J., Zamora F. 2D Materials: To graphene and beyond, Nanoscale, 3 (1), 20–30, 2011.
[14] Koppens F. H. L., Mueller T., Avouris P., Ferrari A. C., Vitiello M. S., Polini M., Photode‐tectors Based on Graphene, Other Two‐Dimensional Materials and Hybrid Systems. Nat. Nanotechnol. 9 (10), 780–793, 2014.
[15] Mannix A. J., Zhou X. F., Kiraly B., Wood J. D., Alducin D., Myers B. D., Liu X., Fisher B. L., Santiago U., Guest J. R., Yacaman M. J., Ponce A., Oganov A. R., Hersam M. C., Guisinger N. P., Synthesis of borophenes: Anisotropic, two‐dimensional boron polymorphs., Sci, 350 (6267), 1513–1516, 2015.
[16] Verma S., Mawrie A., Ghosh T. K., Effect of electron-hole asymmetry on optical conductivity in 8−Pmmn borophene, Phys. Rev., B 96, 155418, 2017.
[17] Lopez-Bezanilla A., Littlewood P. B., Electronic properties of 8−Pmmn borophene, Phys. Rev. B 93 241405, 2016.
[18] Li Z., Cao T., Wu M., Louie S. G., Generation of anisotropic massless dirac fermions and asymmetric klein tunneling in few-layer black phosphorus superlattices, Nano Lett. 17, 2280, 2017.
[19] Zabolotskiy A. D., Lozovik Y. E., Strain-induced pseudomagnetic field in the Dirac semimetal borophene, Phys. Rev. B 94 165403, 2016.
[20] [20] Xiao H., Cao W., Ouyang T., Guo S., He C., Zhong J., Lattice thermal conductivity of borophene from first principle calculation, Sci. Rep. 7, 45986, 2017.