Oscillations of a single Abrikosov vortex in hard type-II superconductors

During the last decade, detection and manipulation of single vortex lines in bulk superconductors have been achieved experimentally. Electrodynamic response of pinned vortices in the high-frequency range is instrumental in studying specific aspects of their behavior. The present paper reviews the st...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Low temperature physics (Woodbury, N.Y.) N.Y.), 2017-06, Vol.43 (6), p.670-682
Hauptverfasser: Rusakov, V. F., Chabanenko, V. V., Nabiałek, A., Chumak, O. M.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 682
container_issue 6
container_start_page 670
container_title Low temperature physics (Woodbury, N.Y.)
container_volume 43
creator Rusakov, V. F.
Chabanenko, V. V.
Nabiałek, A.
Chumak, O. M.
description During the last decade, detection and manipulation of single vortex lines in bulk superconductors have been achieved experimentally. Electrodynamic response of pinned vortices in the high-frequency range is instrumental in studying specific aspects of their behavior. The present paper reviews the state of the art in studies of the oscillations of a single Abrikosov vortex in type II superconductors. The equations for free and forced oscillations of a single elastic vortex line are analyzed taking into account different forces affecting its motion: pinning, elasticity, viscosity and the Lorenz force. The equations also account for the inertial properties of a vortex due to various mechanisms of massiveness. The nature and magnitude of the vortex effective mass caused by some of the mechanisms are discussed in the paper. The roles of each force and inertia in the free oscillation spectrum are thoroughly analyzed. For the De Gennes and Matricon mode (at about a megahertz) with parabolic dispersion and the pinning force taken into account, there is an activation threshold. Taking into account the effective vortex mass in the equation of motion leads to the occurrence of a high-frequency mode (at about a terahertz) in the oscillation spectrum which is also of the activation nature. Estimations of the characteristic frequencies for these modes are given for two common superconductors, NbTi and anisotropic YBaCuO. The paper also presents the features of the resonant behavior of an elastic massive vortex line arising under an external uniform harmonic driving force that decays into the bulk of the sample, taking into account all the above forces. The frequency and temperature dependences of the energy absorption by a vortex line are analyzed. Maximum absorption in the low-frequency mode corresponds to the threshold frequency, while that in the high-frequency mode corresponds to the vortex cyclotron frequency. Vortex manipulation experiments and vortex dynamics simulation are discussed.
doi_str_mv 10.1063/1.4985973
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1063_1_4985973</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2116074325</sourcerecordid><originalsourceid>FETCH-LOGICAL-c327t-c07fc60456b7ad85ba17f26714faeac469081d4033d680e9ee81c095bba67aa03</originalsourceid><addsrcrecordid>eNp9kE1LxDAQhoMouK4e_AcBTwpdJ02bNMdl8aMg7EXBW0jTRLvWpibp4v57u-6iB8HTvDAP7zAPQucEZgQYvSazTBS54PQATQgISFhO-OE2M5pwzp-P0UkIKwAybsUElcugm7ZVsXFdwM5ihUPTvbQGzyvfvLng1njtfDSfuOnwq_I1jpveJGWJw9Abr11XDzo6H07RkVVtMGf7OUVPtzePi_vkYXlXLuYPiaYpj4kGbjWDLGcVV3WRV4pwmzJOMquM0hkTUJA6A0prVoARxhREg8irSjGuFNAputj19t59DCZEuXKD78aTMiWEAc9omo_U5Y7S3oXgjZW9b96V30gCcitDErk3NbJXO3ZUEb9N_MDj67-g7Gv7H_y3-QtCoXb6</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2116074325</pqid></control><display><type>article</type><title>Oscillations of a single Abrikosov vortex in hard type-II superconductors</title><source>AIP Journals Complete</source><creator>Rusakov, V. F. ; Chabanenko, V. V. ; Nabiałek, A. ; Chumak, O. M.</creator><creatorcontrib>Rusakov, V. F. ; Chabanenko, V. V. ; Nabiałek, A. ; Chumak, O. M.</creatorcontrib><description>During the last decade, detection and manipulation of single vortex lines in bulk superconductors have been achieved experimentally. Electrodynamic response of pinned vortices in the high-frequency range is instrumental in studying specific aspects of their behavior. The present paper reviews the state of the art in studies of the oscillations of a single Abrikosov vortex in type II superconductors. The equations for free and forced oscillations of a single elastic vortex line are analyzed taking into account different forces affecting its motion: pinning, elasticity, viscosity and the Lorenz force. The equations also account for the inertial properties of a vortex due to various mechanisms of massiveness. The nature and magnitude of the vortex effective mass caused by some of the mechanisms are discussed in the paper. The roles of each force and inertia in the free oscillation spectrum are thoroughly analyzed. For the De Gennes and Matricon mode (at about a megahertz) with parabolic dispersion and the pinning force taken into account, there is an activation threshold. Taking into account the effective vortex mass in the equation of motion leads to the occurrence of a high-frequency mode (at about a terahertz) in the oscillation spectrum which is also of the activation nature. Estimations of the characteristic frequencies for these modes are given for two common superconductors, NbTi and anisotropic YBaCuO. The paper also presents the features of the resonant behavior of an elastic massive vortex line arising under an external uniform harmonic driving force that decays into the bulk of the sample, taking into account all the above forces. The frequency and temperature dependences of the energy absorption by a vortex line are analyzed. Maximum absorption in the low-frequency mode corresponds to the threshold frequency, while that in the high-frequency mode corresponds to the vortex cyclotron frequency. Vortex manipulation experiments and vortex dynamics simulation are discussed.</description><identifier>ISSN: 1063-777X</identifier><identifier>EISSN: 1090-6517</identifier><identifier>DOI: 10.1063/1.4985973</identifier><identifier>CODEN: LTPHEG</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Activation ; Cyclotron frequency ; Cyclotrons ; Elasticity ; Energy absorption ; Equations of motion ; Free vibration ; Mathematical analysis ; Pinning ; State-of-the-art reviews ; Vortices</subject><ispartof>Low temperature physics (Woodbury, N.Y.), 2017-06, Vol.43 (6), p.670-682</ispartof><rights>Author(s)</rights><rights>Copyright American Institute of Physics Jun 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c327t-c07fc60456b7ad85ba17f26714faeac469081d4033d680e9ee81c095bba67aa03</citedby><cites>FETCH-LOGICAL-c327t-c07fc60456b7ad85ba17f26714faeac469081d4033d680e9ee81c095bba67aa03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/ltp/article-lookup/doi/10.1063/1.4985973$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,776,780,790,4498,27901,27902,76127</link.rule.ids></links><search><creatorcontrib>Rusakov, V. F.</creatorcontrib><creatorcontrib>Chabanenko, V. V.</creatorcontrib><creatorcontrib>Nabiałek, A.</creatorcontrib><creatorcontrib>Chumak, O. M.</creatorcontrib><title>Oscillations of a single Abrikosov vortex in hard type-II superconductors</title><title>Low temperature physics (Woodbury, N.Y.)</title><description>During the last decade, detection and manipulation of single vortex lines in bulk superconductors have been achieved experimentally. Electrodynamic response of pinned vortices in the high-frequency range is instrumental in studying specific aspects of their behavior. The present paper reviews the state of the art in studies of the oscillations of a single Abrikosov vortex in type II superconductors. The equations for free and forced oscillations of a single elastic vortex line are analyzed taking into account different forces affecting its motion: pinning, elasticity, viscosity and the Lorenz force. The equations also account for the inertial properties of a vortex due to various mechanisms of massiveness. The nature and magnitude of the vortex effective mass caused by some of the mechanisms are discussed in the paper. The roles of each force and inertia in the free oscillation spectrum are thoroughly analyzed. For the De Gennes and Matricon mode (at about a megahertz) with parabolic dispersion and the pinning force taken into account, there is an activation threshold. Taking into account the effective vortex mass in the equation of motion leads to the occurrence of a high-frequency mode (at about a terahertz) in the oscillation spectrum which is also of the activation nature. Estimations of the characteristic frequencies for these modes are given for two common superconductors, NbTi and anisotropic YBaCuO. The paper also presents the features of the resonant behavior of an elastic massive vortex line arising under an external uniform harmonic driving force that decays into the bulk of the sample, taking into account all the above forces. The frequency and temperature dependences of the energy absorption by a vortex line are analyzed. Maximum absorption in the low-frequency mode corresponds to the threshold frequency, while that in the high-frequency mode corresponds to the vortex cyclotron frequency. Vortex manipulation experiments and vortex dynamics simulation are discussed.</description><subject>Activation</subject><subject>Cyclotron frequency</subject><subject>Cyclotrons</subject><subject>Elasticity</subject><subject>Energy absorption</subject><subject>Equations of motion</subject><subject>Free vibration</subject><subject>Mathematical analysis</subject><subject>Pinning</subject><subject>State-of-the-art reviews</subject><subject>Vortices</subject><issn>1063-777X</issn><issn>1090-6517</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAQhoMouK4e_AcBTwpdJ02bNMdl8aMg7EXBW0jTRLvWpibp4v57u-6iB8HTvDAP7zAPQucEZgQYvSazTBS54PQATQgISFhO-OE2M5pwzp-P0UkIKwAybsUElcugm7ZVsXFdwM5ihUPTvbQGzyvfvLng1njtfDSfuOnwq_I1jpveJGWJw9Abr11XDzo6H07RkVVtMGf7OUVPtzePi_vkYXlXLuYPiaYpj4kGbjWDLGcVV3WRV4pwmzJOMquM0hkTUJA6A0prVoARxhREg8irSjGuFNAputj19t59DCZEuXKD78aTMiWEAc9omo_U5Y7S3oXgjZW9b96V30gCcitDErk3NbJXO3ZUEb9N_MDj67-g7Gv7H_y3-QtCoXb6</recordid><startdate>201706</startdate><enddate>201706</enddate><creator>Rusakov, V. F.</creator><creator>Chabanenko, V. V.</creator><creator>Nabiałek, A.</creator><creator>Chumak, O. M.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>201706</creationdate><title>Oscillations of a single Abrikosov vortex in hard type-II superconductors</title><author>Rusakov, V. F. ; Chabanenko, V. V. ; Nabiałek, A. ; Chumak, O. M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c327t-c07fc60456b7ad85ba17f26714faeac469081d4033d680e9ee81c095bba67aa03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Activation</topic><topic>Cyclotron frequency</topic><topic>Cyclotrons</topic><topic>Elasticity</topic><topic>Energy absorption</topic><topic>Equations of motion</topic><topic>Free vibration</topic><topic>Mathematical analysis</topic><topic>Pinning</topic><topic>State-of-the-art reviews</topic><topic>Vortices</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rusakov, V. F.</creatorcontrib><creatorcontrib>Chabanenko, V. V.</creatorcontrib><creatorcontrib>Nabiałek, A.</creatorcontrib><creatorcontrib>Chumak, O. M.</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Low temperature physics (Woodbury, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rusakov, V. F.</au><au>Chabanenko, V. V.</au><au>Nabiałek, A.</au><au>Chumak, O. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Oscillations of a single Abrikosov vortex in hard type-II superconductors</atitle><jtitle>Low temperature physics (Woodbury, N.Y.)</jtitle><date>2017-06</date><risdate>2017</risdate><volume>43</volume><issue>6</issue><spage>670</spage><epage>682</epage><pages>670-682</pages><issn>1063-777X</issn><eissn>1090-6517</eissn><coden>LTPHEG</coden><abstract>During the last decade, detection and manipulation of single vortex lines in bulk superconductors have been achieved experimentally. Electrodynamic response of pinned vortices in the high-frequency range is instrumental in studying specific aspects of their behavior. The present paper reviews the state of the art in studies of the oscillations of a single Abrikosov vortex in type II superconductors. The equations for free and forced oscillations of a single elastic vortex line are analyzed taking into account different forces affecting its motion: pinning, elasticity, viscosity and the Lorenz force. The equations also account for the inertial properties of a vortex due to various mechanisms of massiveness. The nature and magnitude of the vortex effective mass caused by some of the mechanisms are discussed in the paper. The roles of each force and inertia in the free oscillation spectrum are thoroughly analyzed. For the De Gennes and Matricon mode (at about a megahertz) with parabolic dispersion and the pinning force taken into account, there is an activation threshold. Taking into account the effective vortex mass in the equation of motion leads to the occurrence of a high-frequency mode (at about a terahertz) in the oscillation spectrum which is also of the activation nature. Estimations of the characteristic frequencies for these modes are given for two common superconductors, NbTi and anisotropic YBaCuO. The paper also presents the features of the resonant behavior of an elastic massive vortex line arising under an external uniform harmonic driving force that decays into the bulk of the sample, taking into account all the above forces. The frequency and temperature dependences of the energy absorption by a vortex line are analyzed. Maximum absorption in the low-frequency mode corresponds to the threshold frequency, while that in the high-frequency mode corresponds to the vortex cyclotron frequency. Vortex manipulation experiments and vortex dynamics simulation are discussed.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.4985973</doi><tpages>13</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1063-777X
ispartof Low temperature physics (Woodbury, N.Y.), 2017-06, Vol.43 (6), p.670-682
issn 1063-777X
1090-6517
language eng
recordid cdi_crossref_primary_10_1063_1_4985973
source AIP Journals Complete
subjects Activation
Cyclotron frequency
Cyclotrons
Elasticity
Energy absorption
Equations of motion
Free vibration
Mathematical analysis
Pinning
State-of-the-art reviews
Vortices
title Oscillations of a single Abrikosov vortex in hard type-II superconductors
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-30T14%3A24%3A08IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Oscillations%20of%20a%20single%20Abrikosov%20vortex%20in%20hard%20type-II%20superconductors&rft.jtitle=Low%20temperature%20physics%20(Woodbury,%20N.Y.)&rft.au=Rusakov,%20V.%20F.&rft.date=2017-06&rft.volume=43&rft.issue=6&rft.spage=670&rft.epage=682&rft.pages=670-682&rft.issn=1063-777X&rft.eissn=1090-6517&rft.coden=LTPHEG&rft_id=info:doi/10.1063/1.4985973&rft_dat=%3Cproquest_cross%3E2116074325%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2116074325&rft_id=info:pmid/&rfr_iscdi=true