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• W3155479037 abstract "In this paper, we study the massive Dirac equation with the presence of the Morse potential in polar coordinate. The Dirac Hamiltonian is written as two second-order differential equations in terms of two spinor wavefunctions. Since the motion of electrons in graphene is propagated like relativistic fermionic quasi-particles, then one is considered only with pseudospin symmetry for aligned spin and unaligned spin by arbitrary $k$. Next, we use the confluent Heun's function for calculating the wavefunctions and the eigenvalues. Then, the corresponding energy spectrum obtains in terms of $N$ and $k$. Afterward, we plot the graphs of the energy spectrum and the wavefunctions in terms of $k$ and $r$, respectively. Moreover, we investigate the graphene band structure by a linear dispersion relation which creates an energy gap in the Dirac points called gapped graphene. Finally, we plot the graph of the valence and conduction bands in terms of wavevectors." @default.
• W3155479037 created "2021-04-26" @default.
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• W3155479037 date "2021-08-01" @default.
• W3155479037 modified "2023-10-18" @default.
• W3155479037 title "Energy spectrum of massive Dirac particles in gapped graphene with Morse potential" @default.
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• W3155479037 doi "https://doi.org/10.1016/j.physb.2021.413045" @default.
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