Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
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...
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| Main Authors: | , |
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| Format: | text |
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Animo Repository
2014
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| Online Access: | https://animorepository.dlsu.edu.ph/faculty_research/598 |
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| Institution: | De La Salle University |
| Summary: | 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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