Simulating analogue holography in flexible Dirac metals

Department of Physics and Astronomy, University of North Carolina - Chapel Hill, NC 27599, USA

Received: 2 November 2013
Accepted: 25 November 2013

Abstract

We explore an apparent holography-like relationship between the bulk and boundary properties of non-interacting massive Dirac fermions living on a flexible surface, such as a sheet of graphene. We demonstrate that the boundary correlations can mimic those normally found in the system of one-dimensional interacting fermions, a specific form of such phantom interaction being determined by the bulk geometry. This geometrical interpretation of the boundary interaction effects offers a new insight into the possible origin of the previously reported examples of the so-called generalized holographic correspondence and suggests potential ways of testing analogue holography in the experiment.