Confining massless Dirac particles in two-dimensional curved space
Mesoscale and Nanoscale Physics
2018-11-02 v1
Abstract
Dirac particles have been notoriously difficult to confine. Implementing a curved space Dirac equation solver based on the quantum Lattice Boltzmann method, we show that curvature in a 2-D space can confine a portion of a charged, mass-less Dirac fermion wave-packet. This is equivalent to a finite probability of confining the Dirac fermion within a curved space region. We propose a general power law expression for the probability of confinement with respect to average spatial curvature for the studied geometry.
Keywords
Cite
@article{arxiv.1810.02102,
title = {Confining massless Dirac particles in two-dimensional curved space},
author = {Kyriakos Flouris and Miller Mendoza Jimenez and Jens-Daniel Debus and Hans J. Herrmann},
journal= {arXiv preprint arXiv:1810.02102},
year = {2018}
}
Comments
10 pages 8 figures