Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors
We present a comprehensive theory of the Dyakonov-Shur (DS) plasma instability in current-biased graphene transistors. Using the hydrodynamic approach, we derive equations describing the DS instability in the two-dimensional electron fluid in graphene at arbitrary values of electron drift velocity....
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2021-09 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Crabb, Justin Cantos-Roman, Xavier Jornet, Josep M Aizin, Gregory R |
| description | We present a comprehensive theory of the Dyakonov-Shur (DS) plasma instability in current-biased graphene transistors. Using the hydrodynamic approach, we derive equations describing the DS instability in the two-dimensional electron fluid in graphene at arbitrary values of electron drift velocity. These nonlinear equations together with Maxwell's equations are used for numerical analysis of the spatial and temporal evolution of the graphene electron system after the DS instability is triggered by random current fluctuations. We analyze conditions necessary for the onset of the DS instability and the properties of the final stationary state of the graphene electron system. We demonstrate that the instability results in the coherent anharmonic oscillatory state of the electron fluid and calculate both the spatial distribution and the power of the electromagnetic radiation generated by the graphene transistor in the DS instability regime. |
| doi_str_mv | 10.48550/arxiv.2106.01296 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2106_01296</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2536671772</sourcerecordid><originalsourceid>FETCH-LOGICAL-a522-b237c9fc95c4b940b2c3d5cfaf610ee172d3f8fe65ed079dd1df35fe55ca82f43</originalsourceid><addsrcrecordid>eNotj8tOwzAURC0kJKrSD2BFJNYJ9nVsJ0tUHkWKxILuI8cP4tLGwU4q8vekLas5i9FoDkJ3BGd5wRh-lOHXHTMgmGeYQMmv0AIoJWmRA9ygVYw7jDFwAYzRBao2kw5eT508OJUMrfFhSrw9UfI8yW_f-WP62Y4hcV0cZOP2bphmTr6C7FvTmWQIsosuDj7EW3Rt5T6a1X8u0fb1ZbvepNXH2_v6qUolA0gboEKVVpVM5U2Z4wYU1UxZaTnBxhABmtrCGs6MxqLUmmhLmTWMKVmAzekS3V9mz6p1H9xBhqk-Kddn5bnxcGn0wf-MJg71zo-hmz_VwCjngggB9A_lNlso</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2536671772</pqid></control><display><type>article</type><title>Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Crabb, Justin ; Cantos-Roman, Xavier ; Jornet, Josep M ; Aizin, Gregory R</creator><creatorcontrib>Crabb, Justin ; Cantos-Roman, Xavier ; Jornet, Josep M ; Aizin, Gregory R</creatorcontrib><description>We present a comprehensive theory of the Dyakonov-Shur (DS) plasma instability in current-biased graphene transistors. Using the hydrodynamic approach, we derive equations describing the DS instability in the two-dimensional electron fluid in graphene at arbitrary values of electron drift velocity. These nonlinear equations together with Maxwell's equations are used for numerical analysis of the spatial and temporal evolution of the graphene electron system after the DS instability is triggered by random current fluctuations. We analyze conditions necessary for the onset of the DS instability and the properties of the final stationary state of the graphene electron system. We demonstrate that the instability results in the coherent anharmonic oscillatory state of the electron fluid and calculate both the spatial distribution and the power of the electromagnetic radiation generated by the graphene transistor in the DS instability regime.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2106.01296</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Anharmonicity ; Electric power distribution ; Electromagnetic radiation ; Electron drift velocity ; Electrons ; Graphene ; Magnetohydrodynamic stability ; Mathematical analysis ; Maxwell's equations ; Nonlinear equations ; Numerical analysis ; Physics - Mesoscale and Nanoscale Physics ; Semiconductor devices ; Spatial distribution ; Stability ; Stability analysis ; Transistors</subject><ispartof>arXiv.org, 2021-09</ispartof><rights>2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27904</link.rule.ids><backlink>$$Uhttps://doi.org/10.1103/PhysRevB.104.155440$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2106.01296$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Crabb, Justin</creatorcontrib><creatorcontrib>Cantos-Roman, Xavier</creatorcontrib><creatorcontrib>Jornet, Josep M</creatorcontrib><creatorcontrib>Aizin, Gregory R</creatorcontrib><title>Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors</title><title>arXiv.org</title><description>We present a comprehensive theory of the Dyakonov-Shur (DS) plasma instability in current-biased graphene transistors. Using the hydrodynamic approach, we derive equations describing the DS instability in the two-dimensional electron fluid in graphene at arbitrary values of electron drift velocity. These nonlinear equations together with Maxwell's equations are used for numerical analysis of the spatial and temporal evolution of the graphene electron system after the DS instability is triggered by random current fluctuations. We analyze conditions necessary for the onset of the DS instability and the properties of the final stationary state of the graphene electron system. We demonstrate that the instability results in the coherent anharmonic oscillatory state of the electron fluid and calculate both the spatial distribution and the power of the electromagnetic radiation generated by the graphene transistor in the DS instability regime.</description><subject>Anharmonicity</subject><subject>Electric power distribution</subject><subject>Electromagnetic radiation</subject><subject>Electron drift velocity</subject><subject>Electrons</subject><subject>Graphene</subject><subject>Magnetohydrodynamic stability</subject><subject>Mathematical analysis</subject><subject>Maxwell's equations</subject><subject>Nonlinear equations</subject><subject>Numerical analysis</subject><subject>Physics - Mesoscale and Nanoscale Physics</subject><subject>Semiconductor devices</subject><subject>Spatial distribution</subject><subject>Stability</subject><subject>Stability analysis</subject><subject>Transistors</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj8tOwzAURC0kJKrSD2BFJNYJ9nVsJ0tUHkWKxILuI8cP4tLGwU4q8vekLas5i9FoDkJ3BGd5wRh-lOHXHTMgmGeYQMmv0AIoJWmRA9ygVYw7jDFwAYzRBao2kw5eT508OJUMrfFhSrw9UfI8yW_f-WP62Y4hcV0cZOP2bphmTr6C7FvTmWQIsosuDj7EW3Rt5T6a1X8u0fb1ZbvepNXH2_v6qUolA0gboEKVVpVM5U2Z4wYU1UxZaTnBxhABmtrCGs6MxqLUmmhLmTWMKVmAzekS3V9mz6p1H9xBhqk-Kddn5bnxcGn0wf-MJg71zo-hmz_VwCjngggB9A_lNlso</recordid><startdate>20210914</startdate><enddate>20210914</enddate><creator>Crabb, Justin</creator><creator>Cantos-Roman, Xavier</creator><creator>Jornet, Josep M</creator><creator>Aizin, Gregory R</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20210914</creationdate><title>Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors</title><author>Crabb, Justin ; Cantos-Roman, Xavier ; Jornet, Josep M ; Aizin, Gregory R</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a522-b237c9fc95c4b940b2c3d5cfaf610ee172d3f8fe65ed079dd1df35fe55ca82f43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Anharmonicity</topic><topic>Electric power distribution</topic><topic>Electromagnetic radiation</topic><topic>Electron drift velocity</topic><topic>Electrons</topic><topic>Graphene</topic><topic>Magnetohydrodynamic stability</topic><topic>Mathematical analysis</topic><topic>Maxwell's equations</topic><topic>Nonlinear equations</topic><topic>Numerical analysis</topic><topic>Physics - Mesoscale and Nanoscale Physics</topic><topic>Semiconductor devices</topic><topic>Spatial distribution</topic><topic>Stability</topic><topic>Stability analysis</topic><topic>Transistors</topic><toplevel>online_resources</toplevel><creatorcontrib>Crabb, Justin</creatorcontrib><creatorcontrib>Cantos-Roman, Xavier</creatorcontrib><creatorcontrib>Jornet, Josep M</creatorcontrib><creatorcontrib>Aizin, Gregory R</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Crabb, Justin</au><au>Cantos-Roman, Xavier</au><au>Jornet, Josep M</au><au>Aizin, Gregory R</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors</atitle><jtitle>arXiv.org</jtitle><date>2021-09-14</date><risdate>2021</risdate><eissn>2331-8422</eissn><abstract>We present a comprehensive theory of the Dyakonov-Shur (DS) plasma instability in current-biased graphene transistors. Using the hydrodynamic approach, we derive equations describing the DS instability in the two-dimensional electron fluid in graphene at arbitrary values of electron drift velocity. These nonlinear equations together with Maxwell's equations are used for numerical analysis of the spatial and temporal evolution of the graphene electron system after the DS instability is triggered by random current fluctuations. We analyze conditions necessary for the onset of the DS instability and the properties of the final stationary state of the graphene electron system. We demonstrate that the instability results in the coherent anharmonic oscillatory state of the electron fluid and calculate both the spatial distribution and the power of the electromagnetic radiation generated by the graphene transistor in the DS instability regime.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2106.01296</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2021-09 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2106_01296 |
| source | arXiv.org; Free E- Journals |
| subjects | Anharmonicity Electric power distribution Electromagnetic radiation Electron drift velocity Electrons Graphene Magnetohydrodynamic stability Mathematical analysis Maxwell's equations Nonlinear equations Numerical analysis Physics - Mesoscale and Nanoscale Physics Semiconductor devices Spatial distribution Stability Stability analysis Transistors |
| title | Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-26T10%3A28%3A42IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Hydrodynamic%20theory%20of%20the%20Dyakonov-Shur%20instability%20in%20graphene%20transistors&rft.jtitle=arXiv.org&rft.au=Crabb,%20Justin&rft.date=2021-09-14&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2106.01296&rft_dat=%3Cproquest_arxiv%3E2536671772%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2536671772&rft_id=info:pmid/&rfr_iscdi=true |