Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential

• Main Authors: Hartmann, R. R., Portnoi, M. E.
• Format: text
• Published: Animo Repository 2014
• Subjects: Dirac equation; Bound states (Quantum mechanics); Physics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/598
• Institution: De La Salle University

We analyze bound modes of two-dimensional massless Dirac fermions confined within a hyperbolic secant potential, which provides a good fit for potential profiles of existing top-gated graphene structures. We show that bound states of both positive and negative energies exist in the energy spectrum a...