کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1856648 | 1529885 | 2012 | 10 صفحه PDF | دانلود رایگان |

It is well known that the low energy electron excitations of the curved graphene sheet ΣΣ are solutions of the massless Dirac equation on a 2+12+1 dimensional ultra-static metric on R×ΣR×Σ. An externally applied electric field on the graphene sheet induces a gauge potential which could be mimicked by considering a stationary optical metric of the Zermelo form, which is conformal to the BTZ black hole when the sheet has a constant negative curvature. The Randers form of the metric can model a magnetic field, which is related by a boost to an electric one in the Zermelo frame. We also show that there is a fundamental geometric obstacle to obtaining a model that extends all the way to the black hole horizon.
► Electrons on graphene sheets obey the Dirac equation in ultra-static metrics.
► External magnetic fields on give ultra-stationary metrics.
► These metrics are of optical-Zermelo form.
► Embedded surfaces corresponding to BTZ black holes are given.
Journal: Annals of Physics - Volume 327, Issue 11, November 2012, Pages 2617–2626