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Issue: Vol. 11 No. 5 (2022): Natural Sciences Issue (English)
Section: Natural Sciences Issue (English)
Date Published: 10/10/2022
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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. Natural Sciences Issue, 11(5), 35-40. https://dthujs.vn/index.php/nsen/article/view/60

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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

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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.

Keywords

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

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

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