Novel electric field effects on Landau levels in Graphene

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dc.creatorLukose, Vinu
dc.creatorShankar, R.
dc.creatorBaskaran, G.
dc.date2006-03-22
dc.date2007-07-07
dc.date.accessioned2026-07-07T08:14:13Z
dc.date.available2026-07-07T08:14:13Z
dc.descriptionA single graphene layer exhibits an anomalous Landau level spectrum. A massless Dirac like low energy electronic spectrum underlies this anomaly. We study, analytically and numerically, the effect of a uniform electric field $(E)$ on the anomalous Landau levels. We solve the problem exactly within the Dirac cone approximation and find an interesting scaling of the spectrum, leading to the collapse of the Landau levels at a critical $E_c(B)$, for a given magnetic field $B$. We offer a physical interpretation of our result, which uses `graphene relativity' and the boost operation. Electric fields, non-uniform at nanoscopic ($\sim l_c$, magnetic) length scales, produce local collapse at $E < E_c$. We expect an anomalous breakdown of quantum Hall states in real graphene, induced by large Hall currents.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0603594
dc.identifierhttp://arxiv.org/abs/cond-mat/0603594
dc.identifierPhys. Rev. Lett. 98, 116802 (2007)
dc.identifierdoi:10.1103/PhysRevLett.98.116802
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133042
dc.subjectMesoscale and Nanoscale Physics
dc.titleNovel electric field effects on Landau levels in Graphene
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