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

Abstract

We show that the charge conductivity for impurity free multi band electronic systems can be expressed in terms of the diagonal and non-diagonal 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.

4 pages and a little

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Cited by in corpus (9)

• Zitterbewegung (trembling motion) of electrons in semiconductors: a Review
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• Dynamics of a quasiparticle in the $\alpha$-T${}_3$ model: Role of pseudospin polarization and transverse magnetic field on \textbf{\textit{zitterbewegung}}
• Zitterbewegung in monolayer silicene in a magnetic field
• An experimental scheme for determining the Berry phase in two-dimensional quantum materials with a flat band
• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
• Generation of rectangular optical waves by relativistic clipping
• Valley-dependent wavepacket self-rotation and Zitterbewegung in symmetry-broken honeycomb lattices
• Link of the Zitterbewegung with the spin conductivity and the spin-textures of multiband systems