Frozen Gaussian Approximation for the Dirac Equation in Curved Space with Application to Strained Graphene
Year: 2023
Author: Lihui Chai, Lorin Emmanuel, Xu Yang
Communications in Computational Physics, Vol. 34 (2023), Iss. 1 : pp. 18–37
Abstract
In this paper, we derive the frozen Gaussian approximation (FGA) for computing the solution to the Dirac equation in curved space in the semi-classical regime. The latter equation is used in particular for modeling electronic scattering on strained graphene surfaces. We present numerical comparisons of the Dirac solutions on curved and flat spaces, illustrating the focusing effect of graphene surfaces, as well as qualitative comparisons with a tight-binding model. A CPU-time comparison shows that FGA becomes more efficient than an IMEX pseudospectral method when the semiclassical parameter is small.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2021-0209
Communications in Computational Physics, Vol. 34 (2023), Iss. 1 : pp. 18–37
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Dirac equation semi-classical regime frozen Gaussian approximation strained graphene.