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Massive Dirac particles based on gapped graphene with Rosen-Morse potential in a uniform magnetic field |
| A. Kalani, Alireza Amani†, and M. A. Ramzanpour |
| Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran |
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Abstract We explore the gapped graphene structure in the two-dimensional plane in the presence of the Rosen-Morse potential and an external uniform magnetic field. In order to describe the corresponding structure, we consider the propagation of electrons in graphene as relativistic fermion quasi-particles, and analyze it by the wave functions of two-component spinors with pseudo-spin symmetry using the Dirac equation. Next, to solve and analyze the Dirac equation, we obtain the eigenvalues and eigenvectors using the Legendre differential equation. After that, we obtain the bounded states of energy depending on the coefficients of Rosen-Morse and magnetic potentials in terms of quantum numbers of principal $n$ and spin-orbit $k$. Then, the values of the energy spectrum for the ground state and the first excited state are calculated, and the wave functions and the corresponding probabilities are plotted in terms of coordinates $r$. In what follows, we explore the band structure of gapped graphene by the modified dispersion relation and write it in terms of the two-dimensional wave vectors $K_x$ and $K_y$. Finally, the energy bands are plotted in terms of the wave vectors $K_x$ and $K_y$ with and without the magnetic term.
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Received: 03 January 2024
Revised: 06 April 2024
Accepted manuscript online:
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PACS:
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03.65.Pm
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(Relativistic wave equations)
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02.30.Gp
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(Special functions)
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72.80.Vp
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(Electronic transport in graphene)
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31.30.J-
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(Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions)
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Corresponding Authors:
Alireza Amani
E-mail: al.amani@iau.ac.ir
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Cite this article:
A. Kalani, Alireza Amani, and M. A. Ramzanpour Massive Dirac particles based on gapped graphene with Rosen-Morse potential in a uniform magnetic field 2024 Chin. Phys. B 33 080303
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