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Floquet Spectrum and Transport through an Irradiated Graphene Ribbon
Open accessAbstract
Graphene subject to a spatially uniform, circularly polarized electric field supports a Floquet spectrum with properties akin to those of a topological insulator. The transport properties of this system, however, are complicated by the nonequilibrium occupations of the Floquet states. We address this by considering transport in a two-terminal ribbon geometry for which the leads have well-defined chemical potentials, with an irradiated central scattering region. We demonstrate the presence of edge states, which for infinite mass boundary conditions may be associated with only one of the two valleys. At low frequencies, the bulk dc conductivity near zero energy is shown to be dominated by a series of states with very narrow anticrossings, leading to superdiffusive behavior. For very long ribbons, a ballistic regime emerges in which edge state transport dominates.
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Cites
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Z 2 Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460
Photovoltaic Hall effect in graphene
Oka, T., & Aoki, H. (2009) · Physical Review B · doi:10.1103/physrevb.79.081406 · Cited by 1,423
Razavy, M. (2003) · doi:10.1142/4984 · Cited by 260
Cited by
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332
Colloquium : Topological band theory
Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587
Non-reciprocal photonics based on time modulation
Sounas, D. L., & Alù, A. (2017) · Nature Photonics · doi:10.1038/s41566-017-0051-x · Cited by 989
Floquet Engineering of Quantum Materials
Oka, T., & Kitamura, S. (2019) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031218-013423 · Cited by 999
Rudner, M. S., Lindner, N. H., Berg, E., & Levin, M. (2013) · Physical Review X · doi:10.1103/physrevx.3.031005 · Cited by 911
Metadata
- Authors
- Gu, Z., Fertig, H. A., Arovas, D. P., & Auerbach, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-11-15
- Volume
- 107
- Issue
- 21
- Pages
- 216601-216601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2037708565
- Cited by
- 378
- References
- 5
- FWCI
- 12.86
- Type
- journal article
- Language
- en
- Open access
- green
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