• 文献标题:   Bilayer graphene in magnetic fields generated by supersymmetry
  • 文献类型:   Article
  • 作  者:   FERNANDEZ DJ, GARCIA JD, OCAMPA D
  • 作者关键词:   bilayer graphene, supersymmetric quantum mechanic, non shapeinvariance, magnetic field
  • 出版物名称:   JOURNAL OF PHYSICS AMATHEMATICAL THEORETICAL
  • ISSN:   1751-8113 EI 1751-8121
  • 通讯作者地址:  
  • 被引频次:   5
  • DOI:   10.1088/1751-8121/abf870
  • 出版年:   2021

▎ 摘  要

The effective Hamiltonian for electrons in bilayer graphene with applied magnetic fields is solved through second-order supersymmetric quantum mechanics. This method transforms the corresponding eigenvalue problem into two intertwined one-dimensional stationary Schrodinger equations whose potentials are determined by choosing at most two seed solutions. In this paper new kinds of magnetic fields associated to non-shape-invariant SUSY partner potentials are generated. Analytic solutions for these magnetic fields are found, the associated spectrum is analyzed, and the probability and current densities are explored.