Relativistic Double Barrier Problem with Three Sub-Barrier Transmission Resonance Regions

Abstract

We obtain exact scattering solutions of the Dirac equation in 1+1 dimensions for a double square barrier vector potential. The potential floor between the two barriers is higher than 2mc^2 whereas the top of the barriers is at least 2mc^2 above the floor. The relativistic version of the conventional double barrier transmission resonance is obtained for energies within + or - mc^2 from the height of the barriers. However, we also find two more (sub-barrier) transmission resonance regions below the conventional one. Both are located within the two Klein energy zones and characterized by resonances that are broader than the conventional ones.

11 pages, 2 figures, one table (animations could be obtained from first author)

References in corpus (4)

• Chiral tunneling and the Klein paradox in graphene
• Substrate-induced band gap opening in epitaxial graphene
• Resolution of the Klein Paradox
• Tunneling and transmission resonances of a Dirac particle by a double barrier

Cited by in corpus (6)

• Bipolar electron waveguides in graphene
• Tunneling of Graphene Massive Dirac Fermions through a Double Barrier
• Guided modes and terahertz transitions for two-dimensional Dirac fermions in a smooth double-well potential
• Transmission through Biased Graphene Strip
• Transport Properties for Triangular Barriers in Graphene
• Controlled electron transmission by lead chalcogenide barrier potential