Microwave-assisted switching of a nanomagnet: Analytical determination of the optimal microwave field
We analytically determine the optimal microwave field that allows for the magnetization reversal of a nanomagnet modeled as a macrospin. This is done by minimizing the total injected energy. The results are in good agreement with the fields obtained numerically using the optimal control theory. For...
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Veröffentlicht in: | Physical review. B 2013-07, Vol.88 (1), Article 014421 |
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creator | Barros, N. Rassam, H. Kachkachi, H. |
description | We analytically determine the optimal microwave field that allows for the magnetization reversal of a nanomagnet modeled as a macrospin. This is done by minimizing the total injected energy. The results are in good agreement with the fields obtained numerically using the optimal control theory. For typical values of the damping parameter, a weak microwave field is sufficient to induce switching through a resonant process. The optimal field is orthogonal to the magnetization direction at any time and modulated in both amplitude and frequency. The dependence of the pulse shape on the applied field and damping parameter is interpreted. The total injected energy is found to be proportionnai to the energy barrier between the initial state and the saddle point and to the damping parameter. This result may be used as a means for probing the damping parameter in real nanoparticles. |
doi_str_mv | 10.1103/PhysRevB.88.014421 |
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This is done by minimizing the total injected energy. The results are in good agreement with the fields obtained numerically using the optimal control theory. For typical values of the damping parameter, a weak microwave field is sufficient to induce switching through a resonant process. The optimal field is orthogonal to the magnetization direction at any time and modulated in both amplitude and frequency. The dependence of the pulse shape on the applied field and damping parameter is interpreted. The total injected energy is found to be proportionnai to the energy barrier between the initial state and the saddle point and to the damping parameter. This result may be used as a means for probing the damping parameter in real nanoparticles.</description><identifier>ISSN: 1098-0121</identifier><identifier>ISSN: 2469-9950</identifier><identifier>EISSN: 1550-235X</identifier><identifier>EISSN: 2469-9969</identifier><identifier>DOI: 10.1103/PhysRevB.88.014421</identifier><language>eng</language><publisher>American Physical Society</publisher><subject>Computer Science ; Condensed Matter ; Damping ; Electromagnetism ; Engineering Sciences ; Mathematical analysis ; Mathematical models ; Micro and nanotechnologies ; Microelectronics ; Microwaves ; Modeling and Simulation ; Nanostructure ; Optimization ; Physics ; Switching</subject><ispartof>Physical review. 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This result may be used as a means for probing the damping parameter in real nanoparticles.</description><subject>Computer Science</subject><subject>Condensed Matter</subject><subject>Damping</subject><subject>Electromagnetism</subject><subject>Engineering Sciences</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Micro and nanotechnologies</subject><subject>Microelectronics</subject><subject>Microwaves</subject><subject>Modeling and Simulation</subject><subject>Nanostructure</subject><subject>Optimization</subject><subject>Physics</subject><subject>Switching</subject><issn>1098-0121</issn><issn>2469-9950</issn><issn>1550-235X</issn><issn>2469-9969</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNo9kE1PwzAMhisEEmPwBzjlCIeOOE3XhNtAwJCGQAgkblGaOmtQP0aTbdq_p1MZJ1v2o1f2E0WXQCcANLl5K3f-HTd3EyEmFDhncBSNIE1pzJL067jvqRQxBQan0Zn337SHJGejCF-c6dqt3mCsvXc-YEH81gVTumZJWks0aXTT1nrZYLgls0ZXu-CMrkiBAbvaNTq4ttmToUTSroKr-2V9SCXWYVWcRydWVx4v_uo4-nx8-Lifx4vXp-f72SI2iaAhlkg5Q0qpNblNOLWZyPMiBy2EZAg2t3qaZiyXGlLgVoDEfCoNpEajQc6ScXQ95Ja6UquuP6XbqVY7NZ8t1H5GueCQMb6Bnr0a2FXX_qzRB1U7b7CqdIPt2ivIqMzYNGVZj7IB7Z_yvkP7nw1U7f2rg38lhBr8J7_Hl3w2</recordid><startdate>20130719</startdate><enddate>20130719</enddate><creator>Barros, N.</creator><creator>Rassam, H.</creator><creator>Kachkachi, H.</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0003-1048-1939</orcidid></search><sort><creationdate>20130719</creationdate><title>Microwave-assisted switching of a nanomagnet: Analytical determination of the optimal microwave field</title><author>Barros, N. ; Rassam, H. ; Kachkachi, H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c380t-9e042e000fcbf340f78bbdb1a8892e1fbfa6572b9a1514f819eb69c15caece423</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Computer Science</topic><topic>Condensed Matter</topic><topic>Damping</topic><topic>Electromagnetism</topic><topic>Engineering Sciences</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Micro and nanotechnologies</topic><topic>Microelectronics</topic><topic>Microwaves</topic><topic>Modeling and Simulation</topic><topic>Nanostructure</topic><topic>Optimization</topic><topic>Physics</topic><topic>Switching</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Barros, N.</creatorcontrib><creatorcontrib>Rassam, H.</creatorcontrib><creatorcontrib>Kachkachi, H.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Physical review. B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Barros, N.</au><au>Rassam, H.</au><au>Kachkachi, H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Microwave-assisted switching of a nanomagnet: Analytical determination of the optimal microwave field</atitle><jtitle>Physical review. B</jtitle><date>2013-07-19</date><risdate>2013</risdate><volume>88</volume><issue>1</issue><artnum>014421</artnum><issn>1098-0121</issn><issn>2469-9950</issn><eissn>1550-235X</eissn><eissn>2469-9969</eissn><abstract>We analytically determine the optimal microwave field that allows for the magnetization reversal of a nanomagnet modeled as a macrospin. This is done by minimizing the total injected energy. The results are in good agreement with the fields obtained numerically using the optimal control theory. For typical values of the damping parameter, a weak microwave field is sufficient to induce switching through a resonant process. The optimal field is orthogonal to the magnetization direction at any time and modulated in both amplitude and frequency. The dependence of the pulse shape on the applied field and damping parameter is interpreted. The total injected energy is found to be proportionnai to the energy barrier between the initial state and the saddle point and to the damping parameter. This result may be used as a means for probing the damping parameter in real nanoparticles.</abstract><pub>American Physical Society</pub><doi>10.1103/PhysRevB.88.014421</doi><orcidid>https://orcid.org/0000-0003-1048-1939</orcidid></addata></record> |
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subjects | Computer Science Condensed Matter Damping Electromagnetism Engineering Sciences Mathematical analysis Mathematical models Micro and nanotechnologies Microelectronics Microwaves Modeling and Simulation Nanostructure Optimization Physics Switching |
title | Microwave-assisted switching of a nanomagnet: Analytical determination of the optimal microwave field |
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