Tunneling for Dirac Fermions in Constant Magnetic Field

Abstract

The tunneling effect of two-dimensional Dirac fermions in a constant magnetic field is studied. This can be done by using the continuity equation at some points to determine the corresponding reflexion and transmission coefficients. For this, we consider a system made of graphene as superposition of two different regions where the second is characterized by an energy gap t'. In fact, we treat concrete systems to practically give two illustrations: barrier and diode. For each case, we discuss the transmission in terms of the ratio of the energy conservation and t'. Moreover, we analyze the resonant tunneling by introducing a scalar Lorentz potential where it is shown that a total transmission is possible.

Dirac fermions in an inhomogeneous magnetic field

“…Note that, for B = B ′ we discover the results obtained in [19], which shows that our results are more generals.…”

“…Subsequently, The tunneling effect of two-dimensional Dirac fermions in a constant magnetic field is studied [19]. This is done by using the continuity equation at fixed points to determine the corresponding reflexion and transmission coefficients.…”

Tunneling of Graphene Massive Dirac Fermions Through a Double Barrier

“…It was shown that contrary to the tunneling through a potential barrier, the transmission of electrons was, in this case, smaller than the one for normal incidence. These results were extended to the case of a magnetic field case [15] and different generalizations were obtained.…”

“…Motivated by the above reasons and in particular the investigation made in [14] and [15], we would like to extend the study of tunneling phenomena through a graphene sheet deposited on SiO 2 -BN layer in the presence of an external magnetic field B and double barrier potentials. Note that, actually there were many theoretical investigations on tunneling of electrons in graphene in the presence of magnetic field e.g.…”

Pengaruh Medan Elektromagnet terhadap Partikel Dirac dan Klein-Gordon dalam Potensial Penghalang Periodik Satu Dimensi

“…Fenomena fisika akan lebih menarik apabila partikel bergerak dalam suatu sistem yang dipengaruhi medan atau dalam kondisi yang lebih kompleks, semisal sistem beberapa partikel dimana ada interaksi antar partikel dan sistem yang mendapat pengaruh medan elektromagnet eksternal [16,17,18]. Sejauh ini, penelitian-penelitian yang ada masih membahas satu partikel baik fermion maupun boson berada dalam sistem potensial penghalang yang bergerak secara periodik tanpa ada pengaruh apapun.…”