Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-05-30
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages, 1 figure
Scientific paper
There is evidence for existence of massless Dirac quasi-particles in graphene, which satisfy Dirac equation in (1+2) dimensions near the so called Dirac points which lie at the corners at the graphene's brilluoin zone. It is shown that parity operator in (1+2) dimensions play an interesting role and can be used for defining conserved chiral currents [there is no gamma^5 in (1+2) dimensions]. It is shown that the "anomalous" current induced by an external gauge field can be related to the anomalous divergence of an axial vector current which arises due to quantum radiative corrections provided by triangular loop Feynman diagrams in analogy with the corresponding axial anomaly in (1+3) dimensions.
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