General theory of Zitterbewegung

Gyula Dávid, J. Cserti

Research output: Article

36 Citations (Scopus)

Abstract

We derive a general and simple expression for the time dependence of the position operator of a multiband Hamiltonian with arbitrary matrix elements depending only on the momentum of the quasiparticle. Our result shows that in such systems the Zitterbewegung-type term related to a trembling motion of the quasiparticle, always appears in the position operator. Moreover, the Zitterbewegung is, in general, a multifrequency oscillatory motion of the quasiparticle. We derive a few alternative expressions for the amplitude of the oscillatory motion including that related to the Berry connection matrix. We present several examples to demonstrate how general and versatile our result is.

Original languageEnglish
Article number121417
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume81
Issue number12
DOIs
Publication statusPublished - márc. 31 2010

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Hamiltonians
Mathematical operators
operators
Momentum
matrices
time dependence
momentum

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

General theory of Zitterbewegung. / Dávid, Gyula; Cserti, J.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 81, No. 12, 121417, 31.03.2010.

Research output: Article

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