Zitterbewegung velocity in semiclassical electron dynamics
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911686110216192 |
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| author | Culcer, Dimitrie |
| author_facet | Culcer, Dimitrie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15292 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Zitterbewegung velocity in semiclassical electron dynamics Culcer, Dimitrie Other Condensed Matter 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. |
| title | Zitterbewegung velocity in semiclassical electron dynamics |
| topic | Other Condensed Matter |
| url | https://arxiv.org/abs/2605.15292 |