Dirac fermions in an inhomogeneous magnetic field

Abstract

We study a confined system of Dirac fermions in the presence of inhomogeneous magnetic field. Splitting the system into different regions, we determine their corresponding energy spectrum solutions. We underline their physical properties by considering the conservation energy where some interesting relations are obtained. These are used to discuss the reflexion and transmission coefficients for Dirac fermions and check the probability condition for different cases. We generalize the obtained results to a system with gap and make some analysis. After evaluating the currentcarrying states, we analyze the Klein paradox and report interesting discussions.

Transmission through biased graphene strip

“…On the other hand, magnetic barrier could in principle be realized with the creation of magnetic dots. In the case of graphene, results of the transmission coefficient and the tunneling conductance were already reported for the electrostatic barriers [4][5][6][7][8][9][10] and magnetic barriers [11][12][13].…”

Tunneling of Electrons in Graphene via Double Triangular Barrier in External Fields

“…For instance, it can be realized by applying a gate voltage, cutting the graphene sheet into a finite width to create a nanoribbons, using doping or through the creation of a magnetic barrier. In the case of graphene, results of the transmission coefficient and the tunneling conductance were already reported for the electrostatic barriers [5][6][7], magnetic barriers [6,8,9], potential barrier [10], linear [11] and triangular [12] barriers.…”

“…One of the present author [10] theoretically studied the electronic transport properties of Dirac fermions through one and double triangular barriers in graphene nanoribbon. The transmission, conductance and Fano factor are obtained to be various parameters dependent such as well width, barrier height and barrier width.…”

Effect of magnetic field on Goos-Hänchen shifts in gaped graphene triangular barrier

“…There are various ways for creating barrier structures in graphene [7,8], for instance it can be done by applying a gate voltage, cutting the graphene sheet into finite width to create nanoribbons, using doping or through the creation of a magnetic barrier. In the case of graphene, computation of the transmission coefficient and the tunneling conductance were already reported for electrostatic barriers [8][9][10][11], magnetic barriers [10,12,13], potential barrier [14] and triangular barrier [16].…”