2013/05/31 by D. V. Khveshchenko · 16 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Classical mechanics #Computer science #Conjecture #Dirac (video compression format) #Dirac fermion #Fermion #Geometry #Graphene #Holography #Imaging phantom #Interpretation (philosophy) #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Optics #Physics #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Surface (topology) #Theoretical physics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1209/0295-5075/104/47002
published in Europhysics Letters (EPL) 104(4), 47002 (Institute of Physics) · Latex, 4+ pages, no figures
arxiv created 2013/08/13 · openalex publication_date 2013/11/01 · arxiv updated 2015/06/16 · openalex created_date 2020/11/23 · openalex updated_date 2026/04/05
In the spirit of the generalized holographic conjecture, we explore a 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 more sophisticated types of holographic correspondence and suggests potential ways of visualizing 'analogue holography' in the experimentally viable environments.