Universal linear and nonlinear electrodynamics of a Dirac fluid
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...
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Veröffentlicht in: | Proceedings of the National Academy of Sciences - PNAS 2018-03, Vol.115 (13), p.3285-3289 |
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creator | Sun, Zhiyuan Basov, Dmitry N. Fogler, Michael M. |
description | 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. Predictions for photon drag and second-harmonic generation in graphene are presented as one application of this theory. |
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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. 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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. Predictions for photon drag and second-harmonic generation in graphene are presented as one application of this theory.</description><subject>Chemical potential</subject><subject>Dirac fermions</subject><subject>Electrodynamics</subject><subject>Fluid mechanics</subject><subject>Gases</subject><subject>graphene</subject><subject>Hydrodynamic equations</subject><subject>hydrodynamics</subject><subject>nonlinear optics</subject><subject>Nonlinear systems</subject><subject>optical conductivity</subject><subject>Optics</subject><subject>Organic chemistry</subject><subject>Other Topics</subject><subject>Physical Sciences</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>Science & Technology</subject><subject>Second harmonic generation</subject><subject>Space plasmas</subject><issn>0027-8424</issn><issn>1091-6490</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNpdkc9PHCEUx4mpqav27KnNpF68jL4HAwMXG-PvxMRLPROWYSqbWdjCjIn_vZjdavVEyPu8L-_xIeQA4RihZSerYPIxttgCAiLfIjMEhbVoFHwhMwDa1rKhzQ7ZzXkBAIpL-Ep2qOKs9OOM_HoI_smlbIZq8MGZVJnQVSGGzc0Nzo4pds_BLL3NVewrU134ZGzVD5Pv9sl2b4bsvm3OPfJwdfn7_Ka-u7--PT-7qy1nYqybDsScCetEQ8GCbGUnuaXzrreMt8oJdEYKCiBAAvaglFQGwCjEORfGsT1yus5dTfOl66wLYzKDXiW_NOlZR-P1x0rwj_pPfNJctkq0WAJ-rgNiHr3O1o_OPtoYQtlPY0M5b1iBjjavpPh3cnnUS5-tGwYTXJyypoCMoxQcCnr4CV3EKYXyB5oWF4w1ktFCnawpm2LOyfVvEyPoV4P61aB-N1g6fvy_6Bv_T1kBvq-BRR5jeq-XoSRFxV4AvZufNw</recordid><startdate>20180327</startdate><enddate>20180327</enddate><creator>Sun, Zhiyuan</creator><creator>Basov, Dmitry N.</creator><creator>Fogler, Michael M.</creator><general>National Academy of Sciences</general><general>Proceedings of the National Academy of Sciences</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QG</scope><scope>7QL</scope><scope>7QP</scope><scope>7QR</scope><scope>7SN</scope><scope>7SS</scope><scope>7T5</scope><scope>7TK</scope><scope>7TM</scope><scope>7TO</scope><scope>7U9</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>H94</scope><scope>M7N</scope><scope>P64</scope><scope>RC3</scope><scope>7X8</scope><scope>OTOTI</scope><scope>5PM</scope><orcidid>https://orcid.org/0000-0001-8239-7221</orcidid><orcidid>https://orcid.org/0000-0002-0342-6248</orcidid><orcidid>https://orcid.org/0000000203426248</orcidid><orcidid>https://orcid.org/0000000182397221</orcidid></search><sort><creationdate>20180327</creationdate><title>Universal linear and nonlinear electrodynamics of a Dirac fluid</title><author>Sun, Zhiyuan ; Basov, Dmitry N. ; Fogler, Michael M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c536t-4d06b36ce6420c0878d85c2bdfc3579e61ea8620060801f09989a00a911b56ae3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Chemical potential</topic><topic>Dirac fermions</topic><topic>Electrodynamics</topic><topic>Fluid mechanics</topic><topic>Gases</topic><topic>graphene</topic><topic>Hydrodynamic equations</topic><topic>hydrodynamics</topic><topic>nonlinear optics</topic><topic>Nonlinear systems</topic><topic>optical conductivity</topic><topic>Optics</topic><topic>Organic chemistry</topic><topic>Other Topics</topic><topic>Physical Sciences</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>Science & Technology</topic><topic>Second harmonic generation</topic><topic>Space plasmas</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sun, Zhiyuan</creatorcontrib><creatorcontrib>Basov, Dmitry N.</creatorcontrib><creatorcontrib>Fogler, Michael M.</creatorcontrib><creatorcontrib>Columbia Univ., New York, NY (United States)</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Animal Behavior Abstracts</collection><collection>Bacteriology Abstracts (Microbiology B)</collection><collection>Calcium & Calcified Tissue Abstracts</collection><collection>Chemoreception Abstracts</collection><collection>Ecology Abstracts</collection><collection>Entomology Abstracts (Full archive)</collection><collection>Immunology Abstracts</collection><collection>Neurosciences Abstracts</collection><collection>Nucleic Acids Abstracts</collection><collection>Oncogenes and Growth Factors Abstracts</collection><collection>Virology and AIDS Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>AIDS and Cancer Research Abstracts</collection><collection>Algology Mycology and Protozoology Abstracts (Microbiology C)</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>Genetics Abstracts</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Proceedings of the National Academy of Sciences - PNAS</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sun, Zhiyuan</au><au>Basov, Dmitry N.</au><au>Fogler, Michael M.</au><aucorp>Columbia Univ., New York, NY (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Universal linear and nonlinear electrodynamics of a Dirac fluid</atitle><jtitle>Proceedings of the National Academy of Sciences - PNAS</jtitle><addtitle>Proc Natl Acad Sci U S A</addtitle><date>2018-03-27</date><risdate>2018</risdate><volume>115</volume><issue>13</issue><spage>3285</spage><epage>3289</epage><pages>3285-3289</pages><issn>0027-8424</issn><eissn>1091-6490</eissn><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. Predictions for photon drag and second-harmonic generation in graphene are presented as one application of this theory.</abstract><cop>United States</cop><pub>National Academy of Sciences</pub><pmid>29531071</pmid><doi>10.1073/pnas.1717010115</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0001-8239-7221</orcidid><orcidid>https://orcid.org/0000-0002-0342-6248</orcidid><orcidid>https://orcid.org/0000000203426248</orcidid><orcidid>https://orcid.org/0000000182397221</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Chemical potential Dirac fermions Electrodynamics Fluid mechanics Gases graphene Hydrodynamic equations hydrodynamics nonlinear optics Nonlinear systems optical conductivity Optics Organic chemistry Other Topics Physical Sciences PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Science & Technology Second harmonic generation Space plasmas |
title | Universal linear and nonlinear electrodynamics of a Dirac fluid |
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