Universal linear and nonlinear electrodynamics of a Dirac fluid
Abstract
A general relation is derived between the linear and second-order nonlinear ac conductivities of an electron system in the hydrodynamic regime of frequencies below the interparticle scattering rate. The magnitude and tensorial structure of the hydrodynamic nonlinear conductivity are shown to differ from their counterparts in the more familiar kinetic regime of higher frequencies. Due to universality of the hydrodynamic equations, the obtained formulas are valid for systems with an arbitrary Dirac-like dispersion, ranging from solid-state electron gases to free-space plasmas, either massive or massless, at any temperature, chemical potential, or space dimension. Here the predictions for photon drag and second-harmonic generation in graphene are presented as one application of this theory.
- Authors:
-
[1];
[1]
- Department of Physics, University of California, San Diego, La Jolla, CA 92093,
- Department of Physics, University of California, San Diego, La Jolla, CA 92093,, Department of Physics, Columbia University, New York, NY 10027
- Publication Date:
- Research Org.:
- Columbia Univ., New York, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1425543
- Alternate Identifier(s):
- OSTI ID: 1540271
- Grant/Contract Number:
- SC0018218
- Resource Type:
- Published Article
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 115 Journal Issue: 13; Journal ID: ISSN 0027-8424
- Publisher:
- Proceedings of the National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Science & Technology; Other Topics; hydrodynamics; optical conductivity; nonlinear optics; Dirac fermions; graphene
Citation Formats
Sun, Zhiyuan, Basov, Dmitry N., and Fogler, Michael M. Universal linear and nonlinear electrodynamics of a Dirac fluid. United States: N. p., 2018.
Web. doi:10.1073/pnas.1717010115.
Sun, Zhiyuan, Basov, Dmitry N., & Fogler, Michael M. Universal linear and nonlinear electrodynamics of a Dirac fluid. United States. https://doi.org/10.1073/pnas.1717010115
Sun, Zhiyuan, Basov, Dmitry N., and Fogler, Michael M. Mon .
"Universal linear and nonlinear electrodynamics of a Dirac fluid". United States. https://doi.org/10.1073/pnas.1717010115.
@article{osti_1425543,
title = {Universal linear and nonlinear electrodynamics of a Dirac fluid},
author = {Sun, Zhiyuan and Basov, Dmitry N. and Fogler, Michael M.},
abstractNote = {A general relation is derived between the linear and second-order nonlinear ac conductivities of an electron system in the hydrodynamic regime of frequencies below the interparticle scattering rate. The magnitude and tensorial structure of the hydrodynamic nonlinear conductivity are shown to differ from their counterparts in the more familiar kinetic regime of higher frequencies. Due to universality of the hydrodynamic equations, the obtained formulas are valid for systems with an arbitrary Dirac-like dispersion, ranging from solid-state electron gases to free-space plasmas, either massive or massless, at any temperature, chemical potential, or space dimension. Here the predictions for photon drag and second-harmonic generation in graphene are presented as one application of this theory.},
doi = {10.1073/pnas.1717010115},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 13,
volume = 115,
place = {United States},
year = {Mon Mar 12 00:00:00 EDT 2018},
month = {Mon Mar 12 00:00:00 EDT 2018}
}
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https://doi.org/10.1073/pnas.1717010115
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Cited by: 32 works
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Works referenced in this record:
Theory of the plasma-wave photoresponse of a gated graphene sheet
journal, November 2013
- Tomadin, Andrea; Polini, Marco
- Physical Review B, Vol. 88, Issue 20
Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects
journal, March 2017
- Cheng, J. L.; Vermeulen, N.; Sipe, J. E.
- Scientific Reports, Vol. 7, Issue 1
Second-order quantum nonlinear optical processes in single graphene nanostructures and arrays
journal, August 2015
- Manzoni, M. T.; Silveiro, I.; Abajo, F. J. García de
- New Journal of Physics, Vol. 17, Issue 8
Helicity-dependent photocurrents in graphene layers excited by midinfrared radiation of a CO laser
journal, September 2011
- Jiang, Chongyun; Shalygin, V. A.; Panevin, V. Yu.
- Physical Review B, Vol. 84, Issue 12
Hydrodynamic Effects in Solids at low Temperature
journal, February 1968
- Gurzhi, R. N.
- Soviet Physics Uspekhi, Vol. 11, Issue 2
Hydrodynamic electron flow in high-mobility wires
journal, May 1995
- de Jong, M. J. M.; Molenkamp, L. W.
- Physical Review B, Vol. 51, Issue 19
Second Order Conductivity and Nonlinear Plasma Excitation of an Isotropic Electron Gas
journal, January 1967
- Stolz, H.
- physica status solidi (b), Vol. 21, Issue 1
Hydrodynamics in graphene: Linear-response transport
journal, January 2015
- Narozhny, B. N.; Gornyi, I. V.; Titov, M.
- Physical Review B, Vol. 91, Issue 3
Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
journal, February 2016
- Crossno, J.; Shi, J. K.; Wang, K.
- Science, Vol. 351, Issue 6277
Negative local resistance caused by viscous electron backflow in graphene
journal, February 2016
- Bandurin, D. A.; Torre, I.; Kumar, R. K.
- Science, Vol. 351, Issue 6277
Second harmonic generation in graphene
journal, June 2011
- Glazov, M. M.
- JETP Letters, Vol. 93, Issue 7
Quantum theory of the third-order nonlinear electrodynamic effects of graphene
journal, February 2016
- Mikhailov, S. A.
- Physical Review B, Vol. 93, Issue 8
Violation of the Wiedemann-Franz Law in Hydrodynamic Electron Liquids
journal, July 2015
- Principi, Alessandro; Vignale, Giovanni
- Physical Review Letters, Vol. 115, Issue 5
Electrical conductivity of a graphite layer
journal, July 1980
- Pietronero, L.; Strässler, S.; Zeller, H. R.
- Physical Review B, Vol. 22, Issue 2
Superballistic flow of viscous electron fluid through graphene constrictions
journal, August 2017
- Krishna Kumar, R.; Bandurin, D. A.; Pellegrino, F. M. D.
- Nature Physics, Vol. 13, Issue 12
Higher-than-ballistic conduction of viscous electron flows
journal, March 2017
- Guo, Haoyu; Ilseven, Ekin; Falkovich, Gregory
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 12
Second-order nonlinear optical response of graphene
journal, November 2016
- Wang, Yongrui; Tokman, Mikhail; Belyanin, Alexey
- Physical Review B, Vol. 94, Issue 19
Universal collisionless transport of graphene
journal, June 2016
- Link, Julia M.; Orth, Peter P.; Sheehy, Daniel E.
- Physical Review B, Vol. 93, Issue 23
Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
journal, February 2016
- Lucas, Andrew; Crossno, Jesse; Fong, Kin Chung
- Physical Review B, Vol. 93, Issue 7
Dynamic Hall Effect Driven by Circularly Polarized Light in a Graphene Layer
journal, November 2010
- Karch, J.; Olbrich, P.; Schmalzbauer, M.
- Physical Review Letters, Vol. 105, Issue 22
Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
journal, August 2016
- Lucas, Andrew; Davison, Richard A.; Sachdev, Subir
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 34
Phonon-limited resistivity of graphene by first-principles calculations: Electron-phonon interactions, strain-induced gauge field, and Boltzmann equation
journal, September 2014
- Sohier, Thibault; Calandra, Matteo; Park, Cheol-Hwan
- Physical Review B, Vol. 90, Issue 12
Lectures on hydrodynamic fluctuations in relativistic theories
journal, November 2012
- Kovtun, Pavel
- Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 47
Plasmon losses due to electron-phonon scattering: The case of graphene encapsulated in hexagonal boron nitride
journal, October 2014
- Principi, Alessandro; Carrega, Matteo; Lundeberg, Mark B.
- Physical Review B, Vol. 90, Issue 16
Theory of the giant plasmon-enhanced second-harmonic generation in graphene and semiconductor two-dimensional electron systems
journal, July 2011
- Mikhailov, S. A.
- Physical Review B, Vol. 84, Issue 4
Coulomb interaction in graphene: Relaxation rates and transport
journal, April 2011
- Schütt, M.; Ostrovsky, P. M.; Gornyi, I. V.
- Physical Review B, Vol. 83, Issue 15
Laser-driven parametric instability and generation of entangled photon-plasmon states in graphene
journal, June 2016
- Tokman, Mikhail; Wang, Yongrui; Oladyshkin, Ivan
- Physical Review B, Vol. 93, Issue 23
Theory of plasmonic effects in nonlinear optics: The case of graphene
journal, January 2017
- Rostami, Habib; Katsnelson, Mikhail I.; Polini, Marco
- Physical Review B, Vol. 95, Issue 3
Colloquium : Graphene spectroscopy
journal, July 2014
- Basov, D. N.; Fogler, M. M.; Lanzara, A.
- Reviews of Modern Physics, Vol. 86, Issue 3
Acoustic phonon scattering limited carrier mobility in two-dimensional extrinsic graphene
journal, March 2008
- Hwang, E. H.; Das Sarma, S.
- Physical Review B, Vol. 77, Issue 11
Efficient Nonlinear Generation of THz Plasmons in Graphene and Topological Insulators
journal, February 2014
- Yao, Xianghan; Tokman, Mikhail; Belyanin, Alexey
- Physical Review Letters, Vol. 112, Issue 5
Quantum-critical relativistic magnetotransport in graphene
journal, September 2008
- Müller, Markus; Fritz, Lars; Sachdev, Subir
- Physical Review B, Vol. 78, Issue 11
Collision-dominated nonlinear hydrodynamics in graphene
journal, September 2015
- Briskot, U.; Schütt, M.; Gornyi, I. V.
- Physical Review B, Vol. 92, Issue 11
Ultrafast optical switching of infrared plasmon polaritons in high-mobility graphene
journal, March 2016
- Ni, G. X.; Wang, L.; Goldflam, M. D.
- Nature Photonics, Vol. 10, Issue 4
Electromagnetic properties of viscous charged fluids
journal, July 2014
- Forcella, Davide; Zaanen, Jan; Valentinis, Davide
- Physical Review B, Vol. 90, Issue 3
Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes
journal, October 2007
- Hartnoll, Sean A.; Kovtun, Pavel K.; Müller, Markus
- Physical Review B, Vol. 76, Issue 14
Graphene: A Nearly Perfect Fluid
journal, July 2009
- Müller, Markus; Schmalian, Jörg; Fritz, Lars
- Physical Review Letters, Vol. 103, Issue 2
Intrinsic charge and spin conductivities of doped graphene in the Fermi-liquid regime
journal, May 2015
- Principi, Alessandro; Vignale, Giovanni
- Physical Review B, Vol. 91, Issue 20
High frequency electric field induced nonlinear effects in graphene
journal, February 2014
- Glazov, M. M.; Ganichev, S. D.
- Physics Reports, Vol. 535, Issue 3
Hydrodynamic Description of Transport in Strongly Correlated Electron Systems
journal, June 2011
- Andreev, A. V.; Kivelson, Steven A.; Spivak, B.
- Physical Review Letters, Vol. 106, Issue 25
Electron-Electron Interactions in Graphene: Current Status and Perspectives
journal, July 2012
- Kotov, Valeri N.; Uchoa, Bruno; Pereira, Vitor M.
- Reviews of Modern Physics, Vol. 84, Issue 3
The kinetic theory of the nonlinear low-frequency response of a collisionless plasma to high-frequency electromagnetic radiation
journal, August 1992
- Aliev, Yu. M.; Bychenkov, V. Yu.; Jovanović, M. S.
- Journal of Plasma Physics, Vol. 48, Issue 1
Electron Interaction in Solids
journal, December 1956
- Pines, David
- Canadian Journal of Physics, Vol. 34, Issue 12A
Evidence for hydrodynamic electron flow in PdCoO2
journal, February 2016
- Moll, P. J. W.; Kushwaha, P.; Nandi, N.
- Science, Vol. 351, Issue 6277
Adiabatic Amplification of Plasmons and Demons in 2D Systems
journal, August 2016
- Sun, Zhiyuan; Basov, D. N.; Fogler, M. M.
- Physical Review Letters, Vol. 117, Issue 7