{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/78355"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/78355","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Numerical study of p-wave superconductivity in Sr2RuO4","abstract":"This thesis contains detailed numerical studies of the superconducting state of Sr2RuO4. This material's magnetic response displays hc=4e periodicity in multiply connected samples, a striking departure from hc=2e periodicity of the Little-Parks effect. One likely explanation for this is that, instead of the Cooper pairs existing in a spin-singlet state as in most conventional superconductors, the pairs form in an l = 1, or p-wave, angular momentum state. The additional spin degree of freedom offered by this angular momentum state allows the formation of half-quantum vortices possessing half of the usual flux quantum. In Chapter 1, I briefly review p-wave superconductivity and see how it supports half-quantum vortices. In Chapter 2, I review the conventional Ginzburg- Landau formalism for treating superconductivity. We then extend this formalism to treat p-wave superconductivity. In Chapter 3, I discuss the numerical methods used to solve the coupled Ginzburg-Landau-Maxwell equations for the model. In Chapter 4, I present numerical solutions of the Ginzburg-Landau equations for the proposed model in realistic geometries and show that the data can be simulated using physically reasonable parameters. I also analyze an important alternative explanation to the presence of half-flux states involving integer vortices penetrating the walls of the sample. In Chapters 6 and 7, I present analyses of measurements of magnetoresistance oscillations in Sr2RuO4 including evidence of phase-shift due to Abrikosov vortices.","abstract_html":"This thesis contains detailed numerical studies of the superconducting state of Sr2RuO4. This material's magnetic response displays hc=4e periodicity in multiply connected samples, a striking departure from hc=2e periodicity of the Little-Parks effect. One likely explanation for this is that, instead of the Cooper pairs existing in a spin-singlet state as in most conventional superconductors, the pairs form in an l = 1, or p-wave, angular momentum state. The additional spin degree of freedom offered by this angular momentum state allows the formation of half-quantum vortices possessing half of the usual flux quantum. In Chapter 1, I briefly review p-wave superconductivity and see how it supports half-quantum vortices. In Chapter 2, I review the conventional Ginzburg- Landau formalism for treating superconductivity. We then extend this formalism to treat p-wave superconductivity. In Chapter 3, I discuss the numerical methods used to solve the coupled Ginzburg-Landau-Maxwell equations for the model. In Chapter 4, I present numerical solutions of the Ginzburg-Landau equations for the proposed model in realistic geometries and show that the data can be simulated using physically reasonable parameters. I also analyze an important alternative explanation to the presence of half-flux states involving integer vortices penetrating the walls of the sample. In Chapters 6 and 7, I present analyses of measurements of magnetoresistance oscillations in Sr2RuO4 including evidence of phase-shift due to Abrikosov vortices.","abstract_has_math":false,"creators":["Roberts, Kevin J"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Stone, Michael","Leggett, Anthony","Bezryadin, Alexey","Selen, Mats A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-07-22T22:16:32Z","date_published":"2015-07-22T22:16:32Z","updated_at":"2026-07-22T22:26:11Z","subjects":["physics","superconductivity"],"languages":["en"],"rights":["Copyright 2015 Kevin Roberts"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/78355","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Stone, Michael","Leggett, Anthony","Bezryadin, Alexey","Selen, Mats A."]},{"key":"dc:creator","label":"Author","values":["Roberts, Kevin J"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-07-22T22:16:32Z","2015-05","2015-04-09","2015-5"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["physics","superconductivity"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2015 Kevin Roberts"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/78355"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis contains detailed numerical studies of the superconducting state of Sr2RuO4. This material's magnetic response displays hc=4e periodicity in multiply connected samples, a striking departure from hc=2e periodicity of the Little-Parks effect. One likely explanation for this is that, instead of the Cooper pairs existing in a spin-singlet state as in most conventional superconductors, the pairs form in an l = 1, or p-wave, angular momentum state. The additional spin degree of freedom offered by this angular momentum state allows the formation of half-quantum vortices possessing half of the usual flux quantum. In Chapter 1, I briefly review p-wave superconductivity and see how it supports half-quantum vortices. In Chapter 2, I review the conventional Ginzburg- Landau formalism for treating superconductivity. We then extend this formalism to treat p-wave superconductivity. In Chapter 3, I discuss the numerical methods used to solve the coupled Ginzburg-Landau-Maxwell equations for the model. In Chapter 4, I present numerical solutions of the Ginzburg-Landau equations for the proposed model in realistic geometries and show that the data can be simulated using physically reasonable parameters. I also analyze an important alternative explanation to the presence of half-flux states involving integer vortices penetrating the walls of the sample. In Chapters 6 and 7, I present analyses of measurements of magnetoresistance oscillations in Sr2RuO4 including evidence of phase-shift due to Abrikosov vortices.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2015-07-22 without embargo terms","The student, Kevin Roberts, accepted the attached license on 2015-04-07 at 07:45.","The student, Kevin Roberts, submitted this Dissertation for approval on 2015-04-07 at 07:55.","This Dissertation was approved for publication on 2015-04-09 at 11:03.","DSpace SAF Submission Ingestion Package generated from Vireo submission #7798 on 2015-07-22 at 10:31:32","Made available in DSpace on 2015-07-22T22:16:32Z (GMT). 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One likely explanation for this is that, instead of the Cooper pairs existing in a spin-singlet state as in most conventional superconductors, the pairs form in an l = 1, or p-wave, angular momentum state. The additional spin degree of freedom offered by this angular momentum state allows the formation of half-quantum vortices possessing half of the usual flux quantum. In Chapter 1, I briefly review p-wave superconductivity and see how it supports half-quantum vortices. In Chapter 2, I review the conventional Ginzburg- Landau formalism for treating superconductivity. We then extend this formalism to treat p-wave superconductivity. In Chapter 3, I discuss the numerical methods used to solve the coupled Ginzburg-Landau-Maxwell equations for the model. In Chapter 4, I present numerical solutions of the Ginzburg-Landau equations for the proposed model in realistic geometries and show that the data can be simulated using physically reasonable parameters. I also analyze an important alternative explanation to the presence of half-flux states involving integer vortices penetrating the walls of the sample. In Chapters 6 and 7, I present analyses of measurements of magnetoresistance oscillations in Sr2RuO4 including evidence of phase-shift due to Abrikosov vortices.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2015-07-22 without embargo terms","The student, Kevin Roberts, accepted the attached license on 2015-04-07 at 07:45.","The student, Kevin Roberts, submitted this Dissertation for approval on 2015-04-07 at 07:55.","This Dissertation was approved for publication on 2015-04-09 at 11:03.","DSpace SAF Submission Ingestion Package generated from Vireo submission #7798 on 2015-07-22 at 10:31:32","Made available in DSpace on 2015-07-22T22:16:32Z (GMT). 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