Link of the Zitterbewegung with the spin conductivity and the spin-textures of multiband systems

Fuente: arXiv
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Auteurs principaux: Mireles, F., Ortiz, E.
Format: Preprint
Publié: 2025
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author Mireles, F.
Ortiz, E.
author_facet Mireles, F.
Ortiz, E.
contents The Zitterbewegung phenomenon in multiband electronic systems is known to be subtly related to the charge conductivity, Berry curvature and the Chern number. Here we show that some spin-dependent properties as the optical spin conductivity, and intrinsic spin Hall conductivity are also entangled with the Zitterbewegung amplitudes. We also show that in multiband Dirac-type Hamiltonians, a direct link between the Zitterbewegung and the spin textures and spin transition amplitudes can be established. The later allow us to discern the presence or not of the Zitterbewegung oscillations by simply analyzing the spin or pseudo-spin textures. We provide examples of the applicability of our approach for Hamiltonian models that show the suppression of specific Zitterbewegung oscillations.
format Preprint
id arxiv_https___arxiv_org_abs_2512_14867
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Link of the Zitterbewegung with the spin conductivity and the spin-textures of multiband systems
Mireles, F.
Ortiz, E.
Mesoscale and Nanoscale Physics
The Zitterbewegung phenomenon in multiband electronic systems is known to be subtly related to the charge conductivity, Berry curvature and the Chern number. Here we show that some spin-dependent properties as the optical spin conductivity, and intrinsic spin Hall conductivity are also entangled with the Zitterbewegung amplitudes. We also show that in multiband Dirac-type Hamiltonians, a direct link between the Zitterbewegung and the spin textures and spin transition amplitudes can be established. The later allow us to discern the presence or not of the Zitterbewegung oscillations by simply analyzing the spin or pseudo-spin textures. We provide examples of the applicability of our approach for Hamiltonian models that show the suppression of specific Zitterbewegung oscillations.
title Link of the Zitterbewegung with the spin conductivity and the spin-textures of multiband systems
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2512.14867