https://doi.org/10.1140/epjb/s10051-022-00428-4
Regular Article - Solid State and Materials
Caustical patterns in circular magnetic dots in graphene
1
Department of Physics, Government Girls Degree College Kurawali, Mainpuri, Uttar Pradesh, India
2
Department of Higher Education, Prayagraj, Uttar Pradesh, India
Received:
23
June
2022
Accepted:
27
September
2022
Published online:
7
October
2022
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.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
