Generalized harmonic confinement of massless Dirac fermions in (2+1) dimensions

In this article we discuss generalized harmonic confinement of massless Dirac fermions in (2+1) dimensions using smooth finite magnetic fields. It is shown that these types of magnetic fields lead to conditional confinement, that is confinement is possible only when the angular momentum (and paramet...

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Bibliographic Details
Published inPhysica. E, Low-dimensional systems & nanostructures Vol. 102; pp. 66 - 72
Main Authors Le, Dai-Nam, Le, Van-Hoang, Roy, Pinaki
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.08.2018
Subjects
Exact solutions
Harmonic confinement
Magnetic field
Harmonic confinement
Magnetic field
Exact solutions
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Summary:In this article we discuss generalized harmonic confinement of massless Dirac fermions in (2+1) dimensions using smooth finite magnetic fields. It is shown that these types of magnetic fields lead to conditional confinement, that is confinement is possible only when the angular momentum (and parameters which depend on it) assumes some specific values. The solutions for non zero energy states as well as zero energy states have been found exactly. •Massless Dirac fermions in a magnetic field.•Generalized harmonic confinement.•Exact solutions for zero as well as non zero energy states.
ISSN:1386-9477
1873-1759
DOI:10.1016/j.physe.2018.04.029