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

Authors

  • F. Mireles Departamento de Física, Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México (UNAM), Apartado Postal 14, 22800 Ensenada, Baja California, Mexico https://orcid.org/0000-0003-0506-0793
  • E. Ortiz Departamento de Física, Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México (UNAM), Apartado Postal 14, 22800 Ensenada, Baja California, Mexico; Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, USA https://orcid.org/0009-0008-8348-0519

DOI:

https://doi.org/10.5488/cmp.28.43704

Keywords:

spin-orbit, 2DEGs, spin hall effect, spin conductivity, spin transport

Abstract

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 pseudospin textures. We provide examples of the applicability of our approach for Hamiltonian models that show the suppression of specific Zitterbewegung oscillations.

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Published

2025-12-22

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Vol. 28 No. 4 (2025)

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Copyright (c) 2025 F. Mireles, E. Ortiz

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How to Cite

[1]
F. Mireles and E. Ortiz, “Link of the Zitterbewegung with the spin conductivity and the spin-textures of multiband systems”, Condens. Matter Phys., vol. 28, no. 4, p. 43704, Dec. 2025, doi: 10.5488/cmp.28.43704.

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