{ "id": "1506.06281", "version": "v1", "published": "2015-06-20T18:52:59.000Z", "updated": "2015-06-20T18:52:59.000Z", "title": "Observation of negative refraction of Dirac fermions in graphene", "authors": [ "Gil-Ho Lee", "Geon-Hyoung Park", "Hu-Jong Lee" ], "comment": "16 pages, 4 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "Half a century ago, Veselago proposed left-handed materials with negative permittivity and permeability, in which waves propagate with phase and group velocities in opposite directions. Significant work has been undertaken to attain this left-handed response, such as establishing a negative refractive index in so-called metamaterials, which consist of periodic sub-wavelength structures. However, an electronic counterpart has not been demonstrated owing to difficulties in creating repeated structures smaller than the electronic Fermi wavelength (\\lambda_F) of the order ~ 10 nm. Here, without needing to engineer sub-wavelength structures, we demonstrate negative refractive behaviour of Dirac fermions in graphene, exploiting its unique relativistic band structure. Analysis of both electron focusing through a n-p-n flat lens and negative refraction across n-p junctions confirms left-handed behaviour in the electronic system. This new approach to electronic optics is of particular relevance to the on-going efforts to develop novel quantum devices with emerging layered materials.", "revisions": [ { "version": "v1", "updated": "2015-06-20T18:52:59.000Z" } ], "analyses": { "keywords": [ "dirac fermions", "negative refraction", "n-p junctions confirms left-handed behaviour", "unique relativistic band structure", "observation" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }