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Novel Electric Field Effects on Landau Levels in Graphene

2006/03/31 by Vinu Lukose, Ravi Shankar, R. Shankar +1 · 9 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Condensed matter physics #Electric field #Electron #Graphene #Graphene research and applications #Instability #Landau quantization #Lorentz force #Lorentz transformation #Magnetic field #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.98.116802

published as Phys. Rev. Lett. 98, 116802 (2007) · 4 pages, 3 figures

openalex publication_date 2007/03/15 · arxiv created 2007/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A new effect in graphene in the presence of crossed uniform electric and magnetic fields is predicted. Landau levels are shown to be modified in an unexpected fashion by the electric field, leading to a collapse of the spectrum, when the value of electric to magnetic field ratio exceeds a certain critical value. Our theoretical results, strikingly different from the standard 2D electron gas, are explained using a "Lorentz boost," and as an "instability of a relativistic quantum field vacuum." It is a remarkable case of emergent relativistic type phenomena in nonrelativistic graphene. We also discuss few possible experimental consequence.

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