• 文献标题:   Electron in bilayer graphene with magnetic fields leading to shape invariant potentials
  • 文献类型:   Article
  • 作  者:   FERNANDEZ DJ, GARCIA JD, OCAMPA D
  • 作者关键词:   bilayer graphene, supersymmetric quantum mechanic, shape invariance
  • 出版物名称:   JOURNAL OF PHYSICS AMATHEMATICAL THEORETICAL
  • ISSN:   1751-8113 EI 1751-8121
  • 通讯作者地址:   CINVESTAV
  • 被引频次:   0
  • DOI:   10.1088/1751-8121/abb6ad
  • 出版年:   2020

▎ 摘  要

The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed into two intertwined one dimensional stationary Schrodinger equations whose potentials are required to be shape invariant. Analytical solutions for the energy bound states are obtained for several magnetic fields. The associated spectrum is analyzed, and the probability and current densities are determined.