Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
College
College of Science
Department/Unit
Physics
Document Type
Article
Source Title
Physical Review A - Atomic, Molecular, and Optical Physics
Volume
89
Issue
1
Publication Date
2-1-2014
Abstract
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 and that there is a threshold value of the characteristic potential strength for which the first mode appears. Analytical solutions are presented in several limited cases and supercriticality is discussed. © 2014 American Physical Society.
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Digitial Object Identifier (DOI)
10.1103/PhysRevA.89.012101
Recommended Citation
Hartmann, R. R., & Portnoi, M. E. (2014). Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential. Physical Review A - Atomic, Molecular, and Optical Physics, 89 (1) https://doi.org/10.1103/PhysRevA.89.012101
Disciplines
Physics
Keywords
Dirac equation; Bound states (Quantum mechanics)
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