Related papers: Massive Dirac particles based on gapped graphene with Rosen-Morse potential in a uniform magnetic field

Massive Dirac particles based on gapped graphene with Rosen-Morse potential in a uniform magnetic field

URL: http://arxiv.org/abs/2409.00234v1
Date: Fri, 30 Aug 2024 19:52:19 GMT
Title: Massive Dirac particles based on gapped graphene with Rosen-Morse potential in a uniform magnetic field
Authors: A. Kalani, Alireza Amani, M. A. Ramzanpour,
Abstract summary: 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. We analyze it by the wave functions of two-component spinors with pseudo-spin symmetry using the Dirac equation. Finally, the energy bands are plotted in terms of the wave vectors $K_x$ and $K_y$ with and without the magnetic term.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-sa/4.0/
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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