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

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: 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
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Institution: De La Salle University
id oai:animorepository.dlsu.edu.ph:faculty_research-1597
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-15972022-01-02T23:57:20Z Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential Hartmann, R. R. Portnoi, M. E. 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. 2014-02-01T08:00:00Z text text/html https://animorepository.dlsu.edu.ph/faculty_research/598 Faculty Research Work Animo Repository Dirac equation Bound states (Quantum mechanics) Physics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Dirac equation
Bound states (Quantum mechanics)
Physics
spellingShingle Dirac equation
Bound states (Quantum mechanics)
Physics
Hartmann, R. R.
Portnoi, M. E.
Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
description 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.
format text
author Hartmann, R. R.
Portnoi, M. E.
author_facet Hartmann, R. R.
Portnoi, M. E.
author_sort Hartmann, R. R.
title Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
title_short Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
title_full Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
title_fullStr Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
title_full_unstemmed Quasi-exact solution to the Dirac equation for the hyperbolic-secant potential
title_sort quasi-exact solution to the dirac equation for the hyperbolic-secant potential
publisher Animo Repository
publishDate 2014
url https://animorepository.dlsu.edu.ph/faculty_research/598
_version_ 1722366333597777920

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