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arXiv · 2605.15292

Zitterbewegung velocity in semiclassical electron dynamics

Dimitrie Culcer
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Abstract

Zitterbewegung plays a major role in electron dynamics in solids, yet is not captured in conventional semiclassical treatments. Here, starting from the quantum Liouville equation, I identify a new Zitterbewegung velocity, which involves the symmetric and antisymmetric components of the quantum geometric tensor oscillating out of phase. The Zitterbewegung velocity resolves the position-shift paradox, recovering the field-induced shift in an electron's position by integrating the semiclassical equations, and is directly related to the famous minimum conductivity of massless Dirac fermions.

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Dimitrie Culcer. 2026-05-14. Zitterbewegung velocity in semiclassical electron dynamics. https://arxiv.org/abs/2605.15292

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