Similarity of zitterbewegung of electron to the Adler-Bell-Jackiw anomaly in QED: its observable manifestation in graphene

Details Similarity of zitterbewegung of electron to the Adler-Bell-Jackiw anomaly in QED: its observable manifestation in graphene Similarity of zitterbewegung of electron to the Adler-Bell-Jackiw anomaly in QED: its observable manifestation in graphene

2009-11-05

arxiv.org/abs/0911.0975v3

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revised: an new section added, a figure included. 4 pages, few references added

Scientific paper

The zitterbewegung being proportional to $\sin(\epsilon t)$, it is depicted as the motion of electron from the positive energy state to that of the negative energy and vice versa in the neighbourhood of Dirac point. Since such transition involves crossing the Dirac point, the same may be the possible realisation and measure of the zitterbewegung. In this respect, we draw a similirity between the zitterbewegung and the Adler-Bell-Jackiw anomaly in (1+1) QED. In a time dependent perturbation theory, the embodiment of zitterbewegung is envisaged in the context of graphene.

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