Article Sidebar

PDF
Date Published: 10/10/2022
Online Published: 10/10/2022
Abstract Views: 50
Views PDF: 33
DOI: https://doi.org/10.52714/dthu.11.5.2022.978
Issue
Vol. 11 No. 5 (2022): Natural Sciences Issue (English)
Section
Natural Sciences Issue
How to Cite
Le, T. H., Tran, N. B., Nguyen, N. H., Le, T. N. T., & Huynh, V. P. (2022). Dirac electron in gapped graphene under exponentially decaying magnetic field. Dong Thap University Journal of Science, 11(5), 35-40. https://doi.org/10.52714/dthu.11.5.2022.978

Dirac electron in gapped graphene under exponentially decaying magnetic field

Thi Hoa Le1, Ngoc Bich Tran1, Ngoc Hieu Nguyen2,3, Thi Ngoc Tu Le4, Vinh Phuc Huynh4,
1 Physics Department, University of Education, Hue University, Vietnam
2 Institute of Research and Development, Duy Tan University, Vietnam
3 Faculty of Natural Sciences, Duy Tan University, Vietnam
4 Faculty of Natural SciencesTeacher Education, Dong Thap University, Vietnam

Main Article Content

Abstract

In this work, we present a Dirac electron in gapped graphene under the exponentially decaying magnetic field. Solving Dirac-Weyl equations, we obtain exact expressions of the eigenfunctions and their corresponding eigenvalues. The probability density and current distributions are also investigated in detail. The results are compared to those in the gapless graphene as well as in the gapped graphene in the presence of a uniform magnetic field.

Article Details

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Keywords

Dirac-Weyl equations, exponentially decaying magnetic field, gapped graphene

References

Cooper, F., Khare, A., & Sukhatme, U. (1995). Supersymmetry and quantum mechanics. Physics Reports, 251(5-6), 267-385.
Eshghi, M., & Mehraban, H. (2017). Exact solution of the Dirac–Weyl equation in graphene under electric and magnetic fields. Comptes Rendus Physique, 18(1), 47-56.
Ghosh, T. K. (2008). Exact solutions for a Dirac electron in an exponentially decaying magnetic field. Journal of Physics: Condensed Matter, 21(4), 045505.
Handrich, K. (2005). Quantum mechanical magnetic-field-gradient drift velocity: An analytically solvable model. Physical Review B, 72(16), 161308.
Jiang, L., Zheng, Y., Li, H., & Shen, H. (2010). Magneto-transport properties of gapped graphene. Nanotechnology, 21(14), 145703.
Krstajić, P., & Vasilopoulos, P. (2012). Integer quantum Hall effect in gapped single-layer graphene. Physical Review B, 86(11), 115432.
Kuru, Ş., Negro, J., & Nieto, L. (2009). Exact analytic solutions for a Dirac electron moving in graphene under magnetic fields. Journal of Physics: Condensed Matter, 21(45), 455305.
Midya, B., & Fernandez, D. J. (2014). Dirac electron in graphene under supersymmetry generated magnetic fields. Journal of Physics A: Mathematical and Theoretical, 47(28), 285302.
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I., Dubonos, S., Firsov., , & AA (2005). Two- dimensional gas of massless Dirac fermions in graphene. Nature, 438(7065), 197-200.
Novoselov, K. S., Jiang, D., Schedin, F., Booth, T., Khotkevich, V., Morozov, S., & Geim, A. K. (2005). Two-dimensional atomic crystals. Proceedings of the National Academy of Sciences, 102(30), 10451-10453.
Wang, D., & Jin, G. (2013). Effect of a nonuniform magnetic field on the Landau states in a biased AA-stacked graphene bilayer. Physics Letters A, 377(40), 2901-2904.
Wang, D., Shen, A., Lv, J.-P., & Jin, G. (2019). Unique Landau-level structure of monolayer black phosphorus under an exponentially decaying magnetic field. Journal of Physics: Condensed Matter, 32(9), 095301.