کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1856648 1529885 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Graphene and the Zermelo optical metric of the BTZ black hole
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Graphene and the Zermelo optical metric of the BTZ black hole
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 327, Issue 11, November 2012, Pages 2617–2626
نویسندگان
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