Parallel transport of electrons in graphene parallels gravity

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.


Published in:
Physical Review B, 82, -
Year:
2010
Keywords:
Laboratories:




 Record created 2011-12-16, last modified 2018-03-17


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