Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-01-13
J. Comput. Theor. Nanosci. 8, 912-918 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
minireview for the Special Issue "Foundations of Computational and Theoretical Nanoscience", to appear in Journal of Computati
Scientific paper
10.1166/jctn.2011.1770
Charge carriers in graphene are chiral quasiparticles ("massless Dirac fermions"). Graphene provides therefore an amazing opportunity to study subtle quantum relativistic effects in condensed matter experiment. Here I review a theory of one of these unusual features of graphene, a "pseudodiffusive" transport in the limit of zero charge carrier concentration, which is related to existence of zero-modes of the Dirac operator and to the Zitterbewegung of unltrarelativistic particles. A conformal mapping technique is a powerful mathematical tool to study these phenomena, as demonstrated here, using the Aharonov-Bohm effect in graphene rings with Corbino geometry as an example.
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