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arXiv · 1810.02102

Confining massless Dirac particles in two-dimensional curved space

Kyriakos Flouris·Miller Mendoza Jimenez·Jens-Daniel Debus·Hans J. Herrmann
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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.

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Kyriakos Flouris, Miller Mendoza Jimenez, Jens-Daniel Debus, Hans J. Herrmann. 2018-10-04. Confining massless Dirac particles in two-dimensional curved space. https://doi.org/10.1103/physrevb.98.155419

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