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research article

Parallel transport of electrons in graphene parallels gravity

Mesaros, Andrej
•
Sadri, Darius  
•
Zaanen, Jan
2010
Physical Review B

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.

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Type
research article
DOI
10.1103/PhysRevB.82.073405
Web of Science ID

WOS:000281017000001

Author(s)
Mesaros, Andrej
Sadri, Darius  
Zaanen, Jan
Date Issued

2010

Published in
Physical Review B
Volume

82

Issue

7

Article Number

073405

Subjects

Topological Defects

•

Graphitic Cones

•

Dislocations

•

Field

•

Fermions

•

Equation

•

Crystal

•

Torsion

•

Motion

•

Phases

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CPMSC  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/75255
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