Super-Klein tunneling of Klein-Gordon particles
arXiv:1901.04655
Abstract
We study the total transmission of quantum particles satisfying the Klein-Gordon equation through a potential barrier based on the classical wave propagation theory. We deduce an analytical expression for the wave impedance for Klein-Gordon particles. From the condition that the impedance is matched throughout the space, we show that super-Klein tunneling, which refers to the omnidirectional total transmission of particles through a potential barrier when the energy of the particle is equal to the half of the barrier potential, should occur in these systems. We also derive a condition for total transmission of Klein-Gordon particles in the presence of both scalar and vector potentials and discuss the influence of weak scattering at the interfaces on super-Klein tunneling. The theoretical predictions are confirmed by explicit numerical calculations of the transmittance based on the invariant imbedding method.
arXiv comment5 pages, 4 figures
References in corpus (12)
- Chiral tunneling and the Klein paradox in graphene
- Quantum interference and Klein tunneling in graphene heterojunctions
- Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
- Evidence of Klein tunneling in graphene p-n junctions
- Dirac and Klein-Gordon particles in one-dimensional periodic potentials
- Barrier transmission of Dirac-like pseudospin-one particles
- Klein tunneling and supercollimation of pseudospin-1 electromagnetic waves
- Negative Refraction Gives Rise to the Klein Paradox
- Klein tunneling and electron optics in Dirac-Weyl fermion systems with tilted energy dispersion
- Oblique Klein tunneling in 8-Pmmn borophene p-n junctions
- Invariant imbedding theory of wave propagation in arbitrarily inhomogeneous stratified bi-isotropic media
- Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions