Multiple magnetic barriers in graphene

Abstract

We study the behavior of charge carriers in graphene in inhomogeneous perpendicular magnetic fields. We consider two types of one-dimensional magnetic profiles, uniform in one direction: a sequence of N magnetic barriers, and a sequence of alternating magnetic barriers and wells. In both cases, we compute the transmission coefficient of the magnetic structure by means of the transfer matrix formalism, and the associated conductance. In the first case the structure becomes increasingly transparent upon increasing N at fixed total magnetic flux. In the second case we find strong wave-vector filtering and resonant effects. We also calculate the band structure of a periodic magnetic superlattice, and find a wave-vector-dependent gap around zero-energy.

9 pages, 18 figures

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• Unconventional Integer Quantum Hall effect in graphene
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• Peculiar Nature of Snake States in Graphene
• Conductance quantization and snake states in graphene magnetic waveguides
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Cited by in corpus (2)

• All-graphene integrated circuits via strain engineering
• Landau Levels and Quantum Hall Effect in Graphene Superlattices