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This preprint investigates nonlinear Zitterbewegung velocity in crystals, introducing multistate quantum geometric tensors and band torsion to explain transient photocurrent responses distinct from standard photovoltaic effects. By proposing specific tomography protocols for these geometric properties, the work advances fundamental understanding of electron dynamics in topological materials rather than offering immediate commercial applications.
Multistate Torsion in Zitterbewegung
arXiv:2609.37767v1 Announce Type: cross Abstract: We derive nonlinear Zitterbewegung velocity of electrons augmented by band torsion in crystals. The equation of motion with multistate quantum geometric tensors and torsion culminates in transient nonlinear photocurrent responses distinct from the recently measured resonant steady-state photovoltaic effects induced by circularly polarized light. Tomography protocols for measuring the multistate quantum geometric torsion tensors are proposed.
Abstract:We derive nonlinear Zitterbewegung velocity of electrons augmented by band torsion in crystals. The equation of motion with multistate quantum geometric tensors and torsion culminates in transient nonlinear photocurrent responses distinct from the recently measured resonant steady-state photovoltaic effects induced by circularly polarized light. Tomography protocols for measuring the multistate quantum geometric torsion tensors are proposed.
Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Optics (physics.optics); Quantum Physics (quant-ph)
arXiv:2609.37767 [cond-mat.mes-hall]
(or arXiv:2609.37767v1 [cond-mat.mes-hall] for this version)
https://doi.org/10.48550/arXiv.2609.37767 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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