Unconventional Integer Quantum Hall Effect in Graphene
Open accessAbstract
Monolayer graphite films, or graphene, have quasiparticle excitations that can be described by (2+1)-dimensional Dirac theory. We demonstrate that this produces an unconventional form of the quantized Hall conductivity sigma(xy) = -(2e2/h)(2n+1) with n = 0, 1, ..., which notably distinguishes graphene from other materials where the integer quantum Hall effect was observed. This unconventional quantization is caused by the quantum anomaly of the n=0 Landau level and was discovered in recent experiments on ultrathin graphite films.
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The phase shift of Shubnikov-de Haas oscillations in graphene is due to Berry's phase.
“d) Shubnikov-de Haas oscillations in graphene exhibit a phase shift of π due to Berry's phase”
From Two-dimensional gas of massless Dirac fermions in graphene (2005) · cites this paper as [15]
The phase shift can be viewed as the direct manifestation of Berry's phase acquired by Dirac fermions moving in a magnetic field.
“the phase shift can be viewed as the direct manifestation of Berry's phase acquired by Dirac fermions moving in magnetic field [15,16].”
From Two-dimensional gas of massless Dirac fermions in graphene (2005) · cites this paper as [15]
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- Authors
- Gusynin, V. P., & Sharapov, S. G.
- Affiliations
- Bogolyubov Institute for Theoretical Physics (UA)
- McMaster University (CA)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-09-28
- Volume
- 95
- Issue
- 14
- Pages
- 146801-146801
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2155422709
- Cited by
- 1,374
- References
- 3
- Citations by year
- 2026: 22 · 2025: 31 · 2024: 44 · 2023: 52 · 2022: 37 · 2021: 59 · 2020: 57 · 2019: 44 · 2018: 54 · 2017: 53 · 2016: 68 · 2015: 69 · 2014: 63 · 2013: 83 · 2012: 93
- FWCI
- 57.83
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Graphene research and applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Keywords
- integer quantum Hall effect, graphene, Dirac quasiparticles, quantized Hall conductivity, Landau levels, quantum anomalies
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