Sub-Poissonian Shot Noise in Graphene
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We calculate the mode-dependent transmission probability of massless Dirac fermions through an ideal strip of graphene (length L, width W, no impurities or defects) to obtain the conductance and shot noise as a function of Fermi energy. We find that the minimum conductivity of order e2/h at the Dirac point (when the electron and hole excitations are degenerate) is associated with a maximum of the Fano factor (the ratio of noise power and mean current). For short and wide graphene strips the Fano factor at the Dirac point equals 1/3, 3 times smaller than for a Poisson process. This is the same value as for a disordered metal, which is remarkable since the classical dynamics of the Dirac fermions is ballistic.
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Earlier work has shown that relativistic dynamics can be studied in systems that are intrinsically non-relativistic, including atomic gases, trapped ions, and graphene layers.
“It has been noted in earlier works on atomic gases [1][2][3], trapped ions [4,5], and also in layers of graphene [6,7], that it is indeed possible to study relativistic dynamics for systems which are inherently non-relativistic.”
From Atomic Zitterbewegung (2008) · cites this paper as [7]
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Cites
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- Authors
- Tworzydło, J., Trauzettel, B., Titov, M., Rycerz, A., & Beenakker, C. W. J.
- Affiliations
- University of Warsaw (PL)
- Leiden University (NL)
- University of Konstanz (DE)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-06-20
- Volume
- 96
- Issue
- 24
- Pages
- 246802-246802
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1965319603
- Cited by
- 872
- References
- 3
- Citations by year
- 2026: 19 · 2025: 13 · 2024: 16 · 2023: 16 · 2022: 19 · 2021: 32 · 2020: 60 · 2019: 27 · 2018: 34 · 2017: 31 · 2016: 44 · 2015: 49 · 2014: 63 · 2013: 63 · 2012: 60
- FWCI
- 43.39
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Leiden Repository (Leiden University) (submittedVersion)
- KOPS (University of Konstanz) (submittedVersion, cc-by-nc-nd)
- Jagiellonian University Repository (Jagiellonian University) (submittedVersion, cc-by-nc-nd)
- Data Archiving and Networked Services (DANS) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- 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
- graphene, massless Dirac fermions, Fano factor, conductance, ballistic transport, Dirac point, quantum point contacts, Fermi energy dependence
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