Klein Bound States in Single-Layer Graphene

Abstract

The Klein paradox, first introduced in relation to chiral tunneling, is also manifested in the study of bound-states in single-layer graphene with a 1D square-well potential. We derive analytic (and numerical) solutions for bound-state wavefunctions, in the absence and in the presence of an external transverse magnetic field, and calculate the corresponding dipole transition rates, which can be probed by photon absorption experiments. The role of parity and time-reversal symmetries is briefly discussed. Our results are also relevant for the physics of bound states of light in periodic optical waveguide structures.

5.5 pages + 3 pages supplemental material

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Cited by in corpus (6)

• Bipolar electron waveguides in graphene
• Guided modes and terahertz transitions for two-dimensional Dirac fermions in a smooth double-well potential
• Effects of discrete topology on quantum transport across a graphene $n-p-n$ junction: A quantum gravity analogue
• Dirac fermions in armchair graphene nanoribbons trapped by electric quantum dots
• Klein Bound States in Single-Layer Graphene
• Chiral tunneling in single layer graphene with Rashba spin-orbit coupling: spin currents