UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 1:31

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Conference: Bucharest University Faculty of Physics 2007 Meeting


Section: Solid State Physics and Materials Science


Title:
RELATIVISTIC QUANTUM MECHANICS IN GRAPHENE


Authors:
D. Dragoman (1), M. Dragoman (2)


Affiliation:
(1) Univ. Bucharest, Physics Dept., P.O. Box MG-11, 077125 Bucharest, Romania

(2) National Institute for Research and Development in Microtechnology (IMT), P.O. Box 38-160, 023573 Bucharest, Romania


E-mail
danieladragoman@yahoo.com


Keywords:
graphene, ballistic transport, Dirac equation


Abstract:
The paper presents an overview and original results about the unusual physical properties of graphene. This material has been recently produced as a monolayer of carbon atoms and is the first extensively studied two-dimensional crystal. Experimental and theoretical results show that the ballistic charge carriers in single layers of graphene have a massless (and gapless) Dirac-like linear dispersion relation, similar to that of photons. This property can be used to test quantum electrodynamics phenomena in solid-state devices, including the predictions of the Klein paradox at a step-like potential discontinuity. At the same time, exploiting the differences between the Dirac and the Schrödinger equations, new types of quantum devices can be implemented. Very interesting dispersion relations are also encountered in bilayer or trilayer graphene. These can be used to generate quantum state superpositions with unexpected properties.