1305.6651 (D. V. Khveshchenko)
D. V. Khveshchenko
In the spirit of the broadly defined holographic conjecture, we explore a relationship between the bulk and boundary properties of non-interacting massive Dirac fermions living on a deformable surface, such as a sheet of graphene. We demonstrate that the edge correlations can mimic some of those that would be found in the system of one-dimensional interacting fermions, a specific form of the pertinent interactions being determined by the bulk geometry. This geometrical interpretation of the boundary interaction effects offers an additional insight into the possible origin of the more sophisticated types of holographic correspondence. Besides, it suggests a potentially viable experimental environment for practical testing of the holographic principle.
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http://arxiv.org/abs/1305.6651
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