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Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
Open accessAbstract
The analytical expressions for both diagonal and off-diagonal ac and dc conductivities of graphene placed in an external magnetic field are derived. These conductivities exhibit rather unusual behavior as functions of frequency, chemical potential, and applied field which is caused by the fact that the quasiparticle excitations in graphene are Dirac-like. One of the most striking effects observed in graphene is the odd integer quantum Hall effect. We argue that it is caused by the anomalous properties of the Dirac quasiparticles from the lowest Landau level. Other quantities such as Hall angle and Nernst signal also exhibit rather unusual behavior, in particular when there is an excitonic gap in the spectrum of the Dirac quasiparticle excitations.
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Cites
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Coulomb Oscillations and Hall Effect in Quasi-2D Graphite Quantum Dots
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Cited by
Burkov, A. A., Hook, M. D., & Balents, L. (2011) · Physical Review B · doi:10.1103/physrevb.84.235126 · Cited by 1,677
Spin-orbit gap of graphene: First-principles calculations
Yao, Y., Ye, F., Qi, X.-L., Zhang, S.-C., & Fang, Z. (2007) · Physical Review B · doi:10.1103/physrevb.75.041401 · Cited by 992
Anomalous Thermoelectric Transport of Dirac Particles in Graphene
Wei, P., Bao, W., Pu, Y., Lau, C. N., & Shi, J. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.166808 · Cited by 455
AC CONDUCTIVITY OF GRAPHENE: FROM TIGHT-BINDING MODEL TO 2 + 1-DIMENSIONAL QUANTUM ELECTRODYNAMICS
GUSYNIN, V. P., SHARAPOV, S. G., & CARBOTTE, J. P. (2007) · International Journal of Modern Physics B · doi:10.1142/s0217979207038022 · Cited by 420
Self-citationDirac electronic states in graphene systems: optical spectroscopy studies
Orlita, M., & Potemski, M. (2010) · Semiconductor Science and Technology · doi:10.1088/0268-1242/25/6/063001 · Cited by 183
Metadata
- Authors
- Gusynin, V. P., & Sharapov, S. G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2006-06-13
- Volume
- 73
- Issue
- 24
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2021788613
- Cited by
- 515
- References
- 8
- FWCI
- 21.05
- Type
- journal article
- Language
- en
- Open access
- green
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