Universal linear and nonlinear electrodynamics of a Dirac fluid

Sun, Zhiyuan; Basov, Dmitry N.; Fogler, Michael M.

doi:10.1073/pnas.1717010115

Title: Universal linear and nonlinear electrodynamics of a Dirac fluid

Journal Article · Mon Mar 12 00:00:00 EDT 2018 · Proceedings of the National Academy of Sciences of the United States of America

DOI:https://doi.org/10.1073/pnas.1717010115· OSTI ID:1425543

^[1]; Basov, Dmitry N. ^[2];

^[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

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.

View Journal Article

Cite

Export

Save

Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0018218

OSTI ID:: 1425543

Alternate ID(s):: OSTI ID: 1540271

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Vol. 115 Journal Issue: 13; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 32 works

Citation information provided by
Web of Science

References (45)

Theory of the plasma-wave photoresponse of a gated graphene sheet Tomadin, Andrea; Polini, Marco Physical Review B, Vol. 88, Issue 20 https://doi.org/10.1103/PhysRevB.88.205426	journal	November 2013
Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects Cheng, J. L.; Vermeulen, N.; Sipe, J. E. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/srep43843	journal	March 2017
Second-order quantum nonlinear optical processes in single graphene nanostructures and arrays Manzoni, M. T.; Silveiro, I.; Abajo, F. J. García de New Journal of Physics, Vol. 17, Issue 8 https://doi.org/10.1088/1367-2630/17/8/083031	journal	August 2015
Helicity-dependent photocurrents in graphene layers excited by midinfrared radiation of a CO $_{2}$ laser Jiang, Chongyun; Shalygin, V. A.; Panevin, V. Yu. Physical Review B, Vol. 84, Issue 12 https://doi.org/10.1103/PhysRevB.84.125429	journal	September 2011
Hydrodynamic Effects in Solids at low Temperature Gurzhi, R. N. Soviet Physics Uspekhi, Vol. 11, Issue 2 https://doi.org/10.1070/PU1968v011n02ABEH003815	journal	February 1968
Hydrodynamic electron flow in high-mobility wires de Jong, M. J. M.; Molenkamp, L. W. Physical Review B, Vol. 51, Issue 19 https://doi.org/10.1103/PhysRevB.51.13389	journal	May 1995
Second Order Conductivity and Nonlinear Plasma Excitation of an Isotropic Electron Gas Stolz, H. physica status solidi (b), Vol. 21, Issue 1 https://doi.org/10.1002/pssb.19670210105	journal	January 1967
Hydrodynamics in graphene: Linear-response transport Narozhny, B. N.; Gornyi, I. V.; Titov, M. Physical Review B, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevB.91.035414	journal	January 2015
Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene Crossno, J.; Shi, J. K.; Wang, K. Science, Vol. 351, Issue 6277 https://doi.org/10.1126/science.aad0343	journal	February 2016
Negative local resistance caused by viscous electron backflow in graphene Bandurin, D. A.; Torre, I.; Kumar, R. K. Science, Vol. 351, Issue 6277 https://doi.org/10.1126/science.aad0201	journal	February 2016
Second harmonic generation in graphene Glazov, M. M. JETP Letters, Vol. 93, Issue 7 https://doi.org/10.1134/S0021364011070046	journal	June 2011
Quantum theory of the third-order nonlinear electrodynamic effects of graphene Mikhailov, S. A. Physical Review B, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevB.93.085403	journal	February 2016
Violation of the Wiedemann-Franz Law in Hydrodynamic Electron Liquids Principi, Alessandro; Vignale, Giovanni Physical Review Letters, Vol. 115, Issue 5 https://doi.org/10.1103/PhysRevLett.115.056603	journal	July 2015
Electrical conductivity of a graphite layer Pietronero, L.; Strässler, S.; Zeller, H. R. Physical Review B, Vol. 22, Issue 2 https://doi.org/10.1103/PhysRevB.22.904	journal	July 1980
Superballistic flow of viscous electron fluid through graphene constrictions Krishna Kumar, R.; Bandurin, D. A.; Pellegrino, F. M. D. Nature Physics, Vol. 13, Issue 12 https://doi.org/10.1038/nphys4240	journal	August 2017
Higher-than-ballistic conduction of viscous electron flows Guo, Haoyu; Ilseven, Ekin; Falkovich, Gregory Proceedings of the National Academy of Sciences, Vol. 114, Issue 12 https://doi.org/10.1073/pnas.1612181114	journal	March 2017
Second-order nonlinear optical response of graphene Wang, Yongrui; Tokman, Mikhail; Belyanin, Alexey Physical Review B, Vol. 94, Issue 19 https://doi.org/10.1103/PhysRevB.94.195442	journal	November 2016
Universal collisionless transport of graphene Link, Julia M.; Orth, Peter P.; Sheehy, Daniel E. Physical Review B, Vol. 93, Issue 23 https://doi.org/10.1103/PhysRevB.93.235447	journal	June 2016
Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene Lucas, Andrew; Crossno, Jesse; Fong, Kin Chung Physical Review B, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevB.93.075426	journal	February 2016
Dynamic Hall Effect Driven by Circularly Polarized Light in a Graphene Layer Karch, J.; Olbrich, P.; Schmalzbauer, M. Physical Review Letters, Vol. 105, Issue 22 https://doi.org/10.1103/PhysRevLett.105.227402	journal	November 2010
Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals Lucas, Andrew; Davison, Richard A.; Sachdev, Subir Proceedings of the National Academy of Sciences, Vol. 113, Issue 34 https://doi.org/10.1073/pnas.1608881113	journal	August 2016
Phonon-limited resistivity of graphene by first-principles calculations: Electron-phonon interactions, strain-induced gauge field, and Boltzmann equation Sohier, Thibault; Calandra, Matteo; Park, Cheol-Hwan Physical Review B, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevB.90.125414	journal	September 2014
Lectures on hydrodynamic fluctuations in relativistic theories Kovtun, Pavel Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 47 https://doi.org/10.1088/1751-8113/45/47/473001	journal	November 2012
Plasmon losses due to electron-phonon scattering: The case of graphene encapsulated in hexagonal boron nitride Principi, Alessandro; Carrega, Matteo; Lundeberg, Mark B. Physical Review B, Vol. 90, Issue 16 https://doi.org/10.1103/PhysRevB.90.165408	journal	October 2014
Theory of the giant plasmon-enhanced second-harmonic generation in graphene and semiconductor two-dimensional electron systems Mikhailov, S. A. Physical Review B, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevB.84.045432	journal	July 2011
Coulomb interaction in graphene: Relaxation rates and transport Schütt, M.; Ostrovsky, P. M.; Gornyi, I. V. Physical Review B, Vol. 83, Issue 15 https://doi.org/10.1103/PhysRevB.83.155441	journal	April 2011
Laser-driven parametric instability and generation of entangled photon-plasmon states in graphene Tokman, Mikhail; Wang, Yongrui; Oladyshkin, Ivan Physical Review B, Vol. 93, Issue 23 https://doi.org/10.1103/PhysRevB.93.235422	journal	June 2016
Theory of plasmonic effects in nonlinear optics: The case of graphene Rostami, Habib; Katsnelson, Mikhail I.; Polini, Marco Physical Review B, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevB.95.035416	journal	January 2017
Colloquium : Graphene spectroscopy Basov, D. N.; Fogler, M. M.; Lanzara, A. Reviews of Modern Physics, Vol. 86, Issue 3 https://doi.org/10.1103/RevModPhys.86.959	journal	July 2014
Acoustic phonon scattering limited carrier mobility in two-dimensional extrinsic graphene Hwang, E. H.; Das Sarma, S. Physical Review B, Vol. 77, Issue 11 https://doi.org/10.1103/PhysRevB.77.115449	journal	March 2008
Efficient Nonlinear Generation of THz Plasmons in Graphene and Topological Insulators Yao, Xianghan; Tokman, Mikhail; Belyanin, Alexey Physical Review Letters, Vol. 112, Issue 5 https://doi.org/10.1103/PhysRevLett.112.055501	journal	February 2014
Quantum-critical relativistic magnetotransport in graphene Müller, Markus; Fritz, Lars; Sachdev, Subir Physical Review B, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevB.78.115406	journal	September 2008
Collision-dominated nonlinear hydrodynamics in graphene Briskot, U.; Schütt, M.; Gornyi, I. V. Physical Review B, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevB.92.115426	journal	September 2015
Ultrafast optical switching of infrared plasmon polaritons in high-mobility graphene Ni, G. X.; Wang, L.; Goldflam, M. D. Nature Photonics, Vol. 10, Issue 4 https://doi.org/10.1038/nphoton.2016.45	journal	March 2016
Electromagnetic properties of viscous charged fluids Forcella, Davide; Zaanen, Jan; Valentinis, Davide Physical Review B, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevB.90.035143	journal	July 2014
Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes Hartnoll, Sean A.; Kovtun, Pavel K.; Müller, Markus Physical Review B, Vol. 76, Issue 14 https://doi.org/10.1103/PhysRevB.76.144502	journal	October 2007
Graphene: A Nearly Perfect Fluid Müller, Markus; Schmalian, Jörg; Fritz, Lars Physical Review Letters, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevLett.103.025301	journal	July 2009
Intrinsic charge and spin conductivities of doped graphene in the Fermi-liquid regime Principi, Alessandro; Vignale, Giovanni Physical Review B, Vol. 91, Issue 20 https://doi.org/10.1103/PhysRevB.91.205423	journal	May 2015
High frequency electric field induced nonlinear effects in graphene Glazov, M. M.; Ganichev, S. D. Physics Reports, Vol. 535, Issue 3 https://doi.org/10.1016/j.physrep.2013.10.003	journal	February 2014
Hydrodynamic Description of Transport in Strongly Correlated Electron Systems Andreev, A. V.; Kivelson, Steven A.; Spivak, B. Physical Review Letters, Vol. 106, Issue 25 https://doi.org/10.1103/PhysRevLett.106.256804	journal	June 2011
Electron-Electron Interactions in Graphene: Current Status and Perspectives Kotov, Valeri N.; Uchoa, Bruno; Pereira, Vitor M. Reviews of Modern Physics, Vol. 84, Issue 3 https://doi.org/10.1103/RevModPhys.84.1067	journal	July 2012
The kinetic theory of the nonlinear low-frequency response of a collisionless plasma to high-frequency electromagnetic radiation Aliev, Yu. M.; Bychenkov, V. Yu.; Jovanović, M. S. Journal of Plasma Physics, Vol. 48, Issue 1 https://doi.org/10.1017/S0022377800016457	journal	August 1992
Electron Interaction in Solids Pines, David Canadian Journal of Physics, Vol. 34, Issue 12A https://doi.org/10.1139/p56-154	journal	December 1956
Evidence for hydrodynamic electron flow in PdCoO2 Moll, P. J. W.; Kushwaha, P.; Nandi, N. Science, Vol. 351, Issue 6277 https://doi.org/10.1126/science.aac8385	journal	February 2016
Adiabatic Amplification of Plasmons and Demons in 2D Systems Sun, Zhiyuan; Basov, D. N.; Fogler, M. M. Physical Review Letters, Vol. 117, Issue 7 https://doi.org/10.1103/PhysRevLett.117.076805	journal	August 2016

Similar Records

Imaging viscous flow of the Dirac fluid in graphene

Journal Article · Wed Jul 22 00:00:00 EDT 2020 · Nature (London) · OSTI ID:1425543

Ku, Mark H.; Zhou, Tony X.; Li, Qing; +16 more

Nonlinear dynamics of topological Dirac fermions in 2D spin-orbit coupled materials

Journal Article · Thu May 06 00:00:00 EDT 2021 · Scientific Reports · OSTI ID:1425543

Malla, Rajesh K.; Kort-Kamp, Wilton J. M.

Hydrodynamic interactions of two nearly touching Brownian spheres in a stiff potential: Effect of fluid inertia

Journal Article · Sun Feb 15 00:00:00 EST 2015 · Physics of Fluids (1994) · OSTI ID:1425543

Radiom, Milad; Ducker, William; Robbins, Brian; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Science & Technology
Other Topics
hydrodynamics
optical conductivity
nonlinear optics
Dirac fermions
graphene

Title: Universal linear and nonlinear electrodynamics of a Dirac fluid

Citation Formats

References (45)

Similar Records

Related Subjects