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research article
Parallel transport of electrons in graphene parallels gravity
2010
Geometrically a crystal containing dislocations and disclinations can be envisaged as a "fixed frame" Cartan-Einstein space-time carrying torsion and curvature, respectively. We demonstrate that electrons in defected graphene are transported in the same way as fundamental Dirac fermions in a nontrivial 2+ 1-dimensional space-time, with the proviso that the graphene electrons remember the lattice constant through the valley quantum numbers. The extra "valley holonomy" corresponds to modified Euclidean symmetry generators.
Type
research article
Web of Science ID
WOS:000281017000001
Authors
Publication date
2010
Published in
Volume
82
Issue
7
Article Number
073405
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 16, 2011
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