Nature of electron Zitterbewegung in crystalline solids

Details Nature of electron Zitterbewegung in crystalline solids Nature of electron Zitterbewegung in crystalline solids

2009-09-02

arxiv.org/abs/0909.0463v1

Physics Letters A Volume 374, Issue 34, 26 July 2010, Pages 3533-3537

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

10.1016/j.physleta.2010.06.028

We demonstrate both classically and quantum mechanically that the Zitterbewegung (ZB, the trembling motion) of electrons in crystalline solids is nothing else, but oscillations of velocity assuring the energy conservation when the electron moves in a periodic potential. This means that the nature of electron ZB in a solid is completely different from that of relativistic electrons in a vacuum, as proposed by Schrodinger. Still, we show that the two-band {\bf k.p} model of electronic band structure, formally similar to the Dirac equation for electrons in a vacuum, gives a very good description of ZB in solids. Our results indicate unambiguously that the trembling motion of electrons in solids should be observable.

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