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NEST Scientific Report 2007-2009 Graphene and artificial graphene
 

Summary: NEST Scientific Report 2007-2009
Graphene
43
Graphene and artificial graphene
T
his area of research focuses on a novel class of two-dimensional (2D) electron liquids
subjected to a lateral potential of honeycomb symmetry. During the years 2004-2005
a group in Europe (A. Geim and co-workers at the University of Manchester, UK) and
one in the US (P. Kim and co-workers at the Columbia University, USA) have succeeded
in the isolation of single- and few-layer ėgrapheneî systems (see below) from graphite.
Electrons in doped single-layer graphene behave like massless fermions. Graphene is a first
remarkable and clean example of the impact of a potential with honeycomb structure on
the electronic states and dynamics. In graphene the crystalline potential is determined by
the spatial arrangement of Carbon atoms leading to linearly dispersing Dirac-cone bands
and semimetallic behavior. When Coulombic electron-electron interactions are included,
doped graphene represents a new type of many-electron problem, distinct from both an
ordinary 2D electron gas and from quantum electrodynamics. Below we summarize some
of the theoretical work done in this area of research. We also show that linearly-dispersing
bands and massless-Dirac-fermion behavior can be induced in an ordinary 2D electron
gas in GaAs/AlGaAs heterostructures when subjected to an external lateral potential with

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics