Novel electric field effects on Landau levels in Graphene

Abstract

A 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.

arXiv comment4 pages, 3 figures

References in corpus (28)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• Electronic States of Graphene Nanoribbons
• Unconventional Integer Quantum Hall effect in graphene
• Quantum-limited shot noise in graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Disorder Induced Localized States in Graphene
• Landau level spectroscopy of ultrathin graphite layers
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Scanning tunneling microscopy and spectroscopy of the electronic local density of states of graphite surfaces near monoatomic step edges
• Conductance quantization in mesoscopic graphene
• Edge States and the Quantized Hall Effect in Graphene
• Coulomb Interactions and Ferromagnetism in Pure and Doped Graphene
• Electron-electron interactions and the phase diagram of a graphene bilayer
• Charge and spin Hall conductivity in metallic graphene
• Edge and Surface States in the Quantum Hall Effect in Graphene
• Quantum Hall Effect of Dirac Fermions in Graphene: Disorder Effect and Phase Diagram
• On electron (anti)localization in graphene
• Gauge field for edge state in graphene
• Theory of the Breakdown of the Quantum Hall Effect

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