Photon-assisted electron transport in graphene: Scattering theory analysis
Open accessAbstract
Photon-assisted electron transport in ballistic graphene is analyzed using scattering theory. We show that the presence of an ac signal (applied to a gate electrode in a region of the system) has interesting consequences on electron transport in graphene, where the low energy dynamics is described by the Dirac equation. In particular, such a setup describes a feasible way to probe energy dependent transmission in graphene. This is of substantial interest because the energy dependence of transmission in mesoscopic graphene is the basis of many peculiar transport phenomena proposed in the recent literature. Furthermore, we discuss the relevance of our analysis of ac transport in graphene to the observability of zitterbewegung of electrons that behave as relativistic particles (but with a lower effective speed of light).
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ZB-like motion should occur in other two-band situations, both in solids and in other systems.
“It was further shown that the ZB-like motion should occur in other two-band situations, both in solids [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18] and in other systems [19, 20, 21, 22, 23, 24, 25, 26].”
From Theory of electron Zitterbewegung in graphene probed by femtosecond laser pulses (2009) · cites this paper as [14]
For B≠0 both interband and intraband (cyclotron) frequencies contribute to ZB; for B=0 there are no intraband frequencies.
“For B = 0 both interband and intraband (cyclotron) frequencies appear in ZB; for B = 0 there are no intraband frequencies.”
From Zitterbewegung of electrons in graphene in a magnetic field (2008) · cites this paper as [12]
The transient character of the trembling motion was demonstrated in our recent papers.
“The transient character of the trembling motion was demonstrated in our recent papers [12, 17].”
From Zitterbewegung of electrons in graphene in a magnetic field (2008) · cites this paper as [12]
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- Authors
- Trauzettel, B., Blanter, Y. M., & Morpurgo, A. F.
- Affiliations
- Leiden University (NL)
- Delft University of Technology (NL)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2007-01-04
- Volume
- 75
- Issue
- 3
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2012373131
- Cited by
- 95
- References
- 23
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 2 · 2023: 3 · 2022: 2 · 2021: 4 · 2020: 6 · 2019: 2 · 2018: 1 · 2017: 3 · 2016: 4 · 2015: 4 · 2014: 3 · 2013: 13 · 2012: 5
- FWCI
- 5.71
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review B (publishedVersion)
- Archive ouverte UNIGE (University of Geneva) (publishedVersion, other-oa)
- arXiv (Cornell University) (submittedVersion)
- Research Repository (Delft University of Technology) (submittedVersion)
- Archive ouverte UNIGE (University of Geneva) (submittedVersion, cc-by)
- 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 › Engineering › Biomedical Engineering › Plasmonic and Surface Plasmon Research
- Keywords
- graphene, energy-dependent transmission, Dirac equation, Zitterbewegung, ballistic transport, relativistic electrons, scattering theory
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