
TL;DR
This paper explores the quantum and semiclassical behaviors of cyclotron motion in graphene, highlighting the influence of zitterbewegung at low energies and confirming that recent experiments operate in the semiclassical regime.
Contribution
It provides a systematic analysis of quantum and semiclassical cyclotron dynamics in graphene, including effects of zitterbewegung and their relevance to experimental conditions.
Findings
Zitterbewegung significantly affects low-energy quantum motion.
Recent experiments are consistent with the semiclassical regime.
The study bridges quantum and semiclassical descriptions of graphene's cyclotron motion.
Abstract
We investigate cyclotron motion in graphene monolayers considering both the full quantum dynamics and its semiclassical limit reached at high carrier energies. Effects of zitterbewegung due to the two dispersion branches of the spectrum dominate the irregular quantum motion at low energies and are obtained as a systematic correction to the semiclassical case. Recent experiments are shown to operate in the semiclassical regime.
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