Klein tunneling refers to the absence of normal backscattering of electronseven under the case of high potential barriers. At the barrier interface, theperfect matching of electron and hole wavefunctions enables a unit transmissionprobability for normally incident electrons. It is theoretically andexperimentally well understood in two-dimensional relativistic materials suchas graphene. Here we investigate the Klein tunneling effect in Weyl semimetalsunder the influence of magnetic field induced by anti-symmetric ferromagneticstripes placed at barrier boundaries. Our results show that the resonance ofFermi wave vector at specific barrier lengths gives rise to perfecttransmission rings, i.e., three-dimensional analogue of the so-called magictransmission angles in two-dimensional Dirac semimetals. Besides, thetransmission profile can be shifted by application of magnetic field, aproperty which may be utilized in electro-optic applications. When the appliedpotential is close to the Fermi level, a particular incident vector can beselected for transmission by tuning the applied magnetic field, thus enablinghighly selective transmission of electrons in the bulk of Weyl semimetals. Ouranalytical and numerical calculations obtained by considering Dirac electronsin three regions and using experimentally feasible parameters can pave the wayfor relativistic tunneling applications in Weyl semimetals.
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