Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-03-14
Solid State Commun. 143, 3-13 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
misprints are fixed; to appear in special issue of Solid State Communications
Scientific paper
10.1016/j.ssc.2007.02.043
Graphene is the first example of truly two-dimensional crystals - it's just one layer of carbon atoms. It turns out to be a gapless semiconductor with unique electronic properties resulting from the fact that charge carriers in graphene demonstrate charge-conjugation symmetry between electrons and holes and possess an internal degree of freedom similar to ``chirality'' for ultrarelativistic elementary particles. It provides unexpected bridge between condensed matter physics and quantum electrodynamics (QED). In particular, the relativistic Zitterbewegung leads to the minimum conductivity of order of conductance quantum $e^2/h$ in the limit of zero doping; the concept of Klein paradox (tunneling of relativistic particles) provides an essential insight into electron propagation through potential barriers; vacuum polarization around charge impurities is essential for understanding of high electron mobility in graphene; index theorem explains anomalous quantum Hall effect.
Katsnelson Mikhail I.
Novoselov Kostya S.
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