• 文献标题:   Caustical patterns in circular magnetic dots in graphene
  • 文献类型:   Article
  • 作  者:   GARG NA
  • 作者关键词:  
  • 出版物名称:   EUROPEAN PHYSICAL JOURNAL B
  • ISSN:   1434-6028 EI 1434-6036
  • 通讯作者地址:  
  • 被引频次:   0
  • DOI:   10.1140/epjb/s10051-022-00428-4
  • 出版年:   2022

▎ 摘  要

The scattered wavefunction of an incoming plane wave of electrons due to a circular symmetric step-like potential shows an interference pattern which resembles that of 'cup caustics'. The high intensity maximum located around caustics can be calculated from Snell's law with negative refractive index. This paper investigates the wavefunction for a plane wave incident on a circular magnetic dot where the magnetic field is nonzero only in a finite, circular disc-like region of space in the presence of a commensurate scalar potential barrier and vanishes outside that region. By formulating the optical analogy, the caustical curves are described inside the scattering region in terms of geometrical optics and analyse the effect of magnetic field on it. The caustical curves obtained in the presence of weak magnetic field are found to be rotated as compared to the case in the absence of magnetic field. This theoretical formulation using geometrical optics also captures the features developed due to bending of classical trajectories in the presence of magnetic field.