Nature of electron Zitterbewegung in crystalline solids
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Publication:455270
DOI10.1016/J.PHYSLETA.2010.06.028zbMATH Open1248.82059arXiv0909.0463OpenAlexW1980435238MaRDI QIDQ455270
Author name not available (Why is that?)
Publication date: 4 October 2012
Published in: (Search for Journal in Brave)
Abstract: 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 {�f 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.
Full work available at URL: https://arxiv.org/abs/0909.0463
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