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

作　　者：A.Kalani Alireza Amani M.A.Ramzanpour 

机构地区：[1]Department of Physics,Ayatollah Amoli Branch,Islamic Azad University,Amol,Iran

出　　处：《Chinese Physics B》2024年第8期170-178,共9页中国物理B（英文版）

摘　　要：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.

关 键 词：massive Dirac equation Rosen–Morse potential Legendre polynomial gapped graphene pseudospin symmetry 

分 类 号：O469[理学—凝聚态物理]