Relation between Zitterbewegung and the charge conductivity, Berry curvature, and the Chern number of multiband systems

J. Cserti, Gyula Dávid

Research output: Article

10 Citations (Scopus)

Abstract

We show that the charge conductivity for impurity-free multiband electronic systems can be expressed in terms of the nondiagonal elements of the Zitterbewegung amplitudes while the Berry curvature and the Chern number is related only to the diagonal elements. Thus, the phenomenon of the Zitterbewegung can no longer be viewed just as an interesting consequence of quantum physics but it has also an experimental relevance. Moreover, through several examples we demonstrate how efficient our approach is in the analytical calculation of the charge conductivity.

Original languageEnglish
Article number201405
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume82
Issue number20
DOIs
Publication statusPublished - nov. 10 2010

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Physics
curvature
Impurities
conductivity
impurities
physics
electronics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

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AB - We show that the charge conductivity for impurity-free multiband electronic systems can be expressed in terms of the nondiagonal elements of the Zitterbewegung amplitudes while the Berry curvature and the Chern number is related only to the diagonal elements. Thus, the phenomenon of the Zitterbewegung can no longer be viewed just as an interesting consequence of quantum physics but it has also an experimental relevance. Moreover, through several examples we demonstrate how efficient our approach is in the analytical calculation of the charge conductivity.

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