Physics – Condensed Matter – Materials Science
Scientific paper
2011-08-11
Physics
Condensed Matter
Materials Science
presentation of the experimental proposal improved, more theoretical issues addressed, references added, 2 figures added (now
Scientific paper
A central issue in the ongoing studies of graphene is how the morphology of the sample modifies its electronic properties. For curved shapes its well-known special relativistic-like properties naturally point to quantum field theory in curved spaces that is not a general relativistic-like description as yet because the time components of the metric are left over. Here we find that, if graphene is shaped as Beltrami pseudosphere the problem is solved. As a result, through the appropriate identifications of the graphene counterpart of the customary relativistic procedures, we are able to predict that the curved graphene sample has a finite temperature electronic local density of states that is a realization of the Hawking-Unruh effect. We then propose an experiment with a Scanning Tunneling Microscope that should easily detect such effect and measure the Hawking temperature.
Iorio Alfredo
Lambiase Gaetano
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