Probing electron Zitterbewegung in Topological Insulators

Details Probing electron Zitterbewegung in Topological Insulators Probing electron Zitterbewegung in Topological Insulators

2011-09-22

arxiv.org/abs/1109.4771v4

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages and 3 figures for the letter, 3 pagers for the supporting online material

Scientific paper

Zitterbewegung is an inherent hallmark of the Dirac equation which arises from the superposition between the positive and negative energy part of the spinor states. This exotic quantum phenomenon is only observed very recently in traped ions and cold atom systems, but still a challenging task for electron systems. Here we present a general theory about the electron Zitterbewegung in a topological insulator in the presence of an in-plane electric field. We demonstrate theoretically that the topological edge states in topological insulators origin from electron Zitterbewegung and the quantum spin Hall effect and quantum anomalous Hall effect can be viewed as a manifestation of anomalous electron Zitterbewegung.

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