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Dirac fermion confinement in graphene

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Peres, N. M. R., Castro Neto, A. H., Guinea, F.·2006·Physical Review B

Abstract

We study the problem of Dirac fermion confinement in graphene in the presence of a perpendicular magnetic field $B$. We show, analytically and numerically, that confinement leads to anomalies in the electronic spectrum and to a magnetic-field-dependent crossover from $\sqrt{B}$, characteristic of Dirac-Landau-level behavior, to linear-in-$B$ behavior, characteristic of confinement. This crossover occurs when the radius of the Landau level becomes of the order of the width of the system. As a result, we show that the Shubnikov--de Haas oscillations also change as a function of field, and lead to a singular Landau plot.

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Metadata

Authors
Peres, N. M. R., Castro Neto, A. H., & Guinea, F.
Venue
Physical Review B
Published
2006-06-15
Volume
73
Issue
24
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W2021978747
Cited by
169
References
5
FWCI
8.25
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Dirac fermion confinement in graphene. https://app.cochat.ai/papers/10.1103/physrevb.73.241403
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Peres, N. M. R., Castro Neto, A. H., & Guinea, F. (2006). Dirac fermion confinement in graphene. Physical Review B. https://doi.org/10.1103/physrevb.73.241403

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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