English

Conditional electron confinement in graphene via smooth magnetic fields

Mesoscale and Nanoscale Physics 2021-09-29 v1

Abstract

In this article we discuss confinement of electrons in graphene via smooth magnetic fields which are finite everywhere on the plane. We shall consider two types of magnetic fields leading to systems which are conditionally exactly solvable and quasi exactly solvable. The bound state energies and wave functions in both cases have been found exactly.

Keywords

Cite

@article{arxiv.1711.04509,
  title  = {Conditional electron confinement in graphene via smooth magnetic fields},
  author = {Dai-Nam Le and Van-Hoang Le and Pinaki Roy},
  journal= {arXiv preprint arXiv:1711.04509},
  year   = {2021}
}
R2 v1 2026-06-22T22:43:58.465Z