Numerical issues of the two-dimensional Dirac equation
Abstract
The two-dimensional Dirac equation has been widely used in graphene physics, the surface of topological insulators, and especially quantum scarring. Although a numerical approach to tackling an arbitrary confining problem was proposed several years ago, several fundamental issues must be thoroughly understood and solved. In this work, we conceal and address these challenges and finally develop a complete method, validated by comparison with analytical results.
Cite
@article{arxiv.2211.10914,
title = {Numerical issues of the two-dimensional Dirac equation},
author = {Jiale Sun and Xiaoshui Lin},
journal= {arXiv preprint arXiv:2211.10914},
year = {2023}
}
Comments
A new and more complete paper (including the idea of this paper but much more detailed and advanced) will be published in several months (The same first author). This paper includes some uncertain descriptions and not-fully-verified claims, and therefore need to be withdrawn to avoid misleading. Please check the new paper when available on arxiv