{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80621"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80621","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Non-Sinusoidal Current -Phase Relations in Superconductor-Ferromagnet-Superconductor Josephson Junctions","abstract":"We have directly measured the current-phase relation (CPR) of a superconductor-ferromagnet-superconductor (SFS) Josephson junction, and determined that it contains a positive second-harmonic term proportional to sin(2&phis;). The second-harmonic term becomes dominant near Tpi, the temperature at which the first-order term switches between the 0-state and the pi-state. In SFS junctions, the interaction of the correlated electron states from the superconductor with the ferromagnet causes the superconducting order parameter to oscillate so that the ground state can have a phase difference of zero, as in a conventional Josephson junction, or a phase difference of pi, depending on the barrier thickness. The oscillation length is a function of the ferromagnetic exchange energy, Eex, and temperature, so SFS junctions with Eex ≈ Tc (the superconducting transition temperature) that are fabricated near a 0-to-pi crossover thickness can also be modulated between the 0-state and pi-state as a function of temperature. We use the weak ferromagnetic alloy Cu47Ni53 as the barrier material with a thickness of 7nm, which is near the first thickness dependent 0-to-pi crossover point. At this crossover point, it has been predicted that an intrinsic second-order term would dominate the CPR due to the suppression of the first-order component. Alternative theories predict that a negative second-order term could arise, in a narrow temperature regime at the 0-to-pi crossover point, from a competition between the 0-state and pi-state due to inhomogeneities. Our direct measurement indicates a positive second-harmonic that is constant over the temperature range where it is accessible. Additional transport measurements are consistent with the direct measurement and indicate that the second-harmonic term persists over a temperature range of at least 1.5K. These results indicate an intrinsic second-harmonic in the CPR of our junctions.","abstract_html":"We have directly measured the current-phase relation (CPR) of a superconductor-ferromagnet-superconductor (SFS) Josephson junction, and determined that it contains a positive second-harmonic term proportional to sin(2&phis;). The second-harmonic term becomes dominant near Tpi, the temperature at which the first-order term switches between the 0-state and the pi-state. In SFS junctions, the interaction of the correlated electron states from the superconductor with the ferromagnet causes the superconducting order parameter to oscillate so that the ground state can have a phase difference of zero, as in a conventional Josephson junction, or a phase difference of pi, depending on the barrier thickness. The oscillation length is a function of the ferromagnetic exchange energy, Eex, and temperature, so SFS junctions with Eex ≈ Tc (the superconducting transition temperature) that are fabricated near a 0-to-pi crossover thickness can also be modulated between the 0-state and pi-state as a function of temperature. We use the weak ferromagnetic alloy Cu47Ni53 as the barrier material with a thickness of 7nm, which is near the first thickness dependent 0-to-pi crossover point. At this crossover point, it has been predicted that an intrinsic second-order term would dominate the CPR due to the suppression of the first-order component. Alternative theories predict that a negative second-order term could arise, in a narrow temperature regime at the 0-to-pi crossover point, from a competition between the 0-state and pi-state due to inhomogeneities. Our direct measurement indicates a positive second-harmonic that is constant over the temperature range where it is accessible. Additional transport measurements are consistent with the direct measurement and indicate that the second-harmonic term persists over a temperature range of at least 1.5K. These results indicate an intrinsic second-harmonic in the CPR of our junctions.","abstract_has_math":false,"creators":["Stoutimore, Micah John Atman"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Berzryadin, Alexey"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:03:19Z","date_published":"2015-09-25T20:03:19Z","updated_at":"2026-07-22T22:26:14Z","subjects":["Physics, Condensed Matter"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3392487"],"render_values":[{"text":"(MiAaPQ)AAI3392487","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80621","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Berzryadin, Alexey"]},{"key":"dc:creator","label":"Author","values":["Stoutimore, Micah John Atman"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:03:19Z","10000-01-01","2009"]},{"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, Condensed Matter"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/80621","(MiAaPQ)AAI3392487"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We have directly measured the current-phase relation (CPR) of a superconductor-ferromagnet-superconductor (SFS) Josephson junction, and determined that it contains a positive second-harmonic term proportional to sin(2&phis;). The second-harmonic term becomes dominant near Tpi, the temperature at which the first-order term switches between the 0-state and the pi-state. In SFS junctions, the interaction of the correlated electron states from the superconductor with the ferromagnet causes the superconducting order parameter to oscillate so that the ground state can have a phase difference of zero, as in a conventional Josephson junction, or a phase difference of pi, depending on the barrier thickness. The oscillation length is a function of the ferromagnetic exchange energy, Eex, and temperature, so SFS junctions with Eex ≈ Tc (the superconducting transition temperature) that are fabricated near a 0-to-pi crossover thickness can also be modulated between the 0-state and pi-state as a function of temperature. We use the weak ferromagnetic alloy Cu47Ni53 as the barrier material with a thickness of 7nm, which is near the first thickness dependent 0-to-pi crossover point. At this crossover point, it has been predicted that an intrinsic second-order term would dominate the CPR due to the suppression of the first-order component. Alternative theories predict that a negative second-order term could arise, in a narrow temperature regime at the 0-to-pi crossover point, from a competition between the 0-state and pi-state due to inhomogeneities. Our direct measurement indicates a positive second-harmonic that is constant over the temperature range where it is accessible. Additional transport measurements are consistent with the direct measurement and indicate that the second-harmonic term persists over a temperature range of at least 1.5K. These results indicate an intrinsic second-harmonic in the CPR of our junctions.","Made available in DSpace on 2015-09-25T20:03:19Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3392487.pdf: 3235807 bytes, checksum: e8f1b71d35242e0dc5107b0348cb799f (MD5) Previous issue date: 2009","Embargo set by: Seth Robbins for item 81903 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","84 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009."]},{"key":"dc:title","label":"Title","values":["Non-Sinusoidal Current -Phase Relations in Superconductor-Ferromagnet-Superconductor Josephson Junctions"]}]}],"canonical_facts":{"dc:contributor":["Berzryadin, Alexey"],"dc:creator":["Stoutimore, Micah John Atman"],"dc:date":["2015-09-25T20:03:19Z","10000-01-01","2009"],"dc:description":["We have directly measured the current-phase relation (CPR) of a superconductor-ferromagnet-superconductor (SFS) Josephson junction, and determined that it contains a positive second-harmonic term proportional to sin(2&phis;). The second-harmonic term becomes dominant near Tpi, the temperature at which the first-order term switches between the 0-state and the pi-state. In SFS junctions, the interaction of the correlated electron states from the superconductor with the ferromagnet causes the superconducting order parameter to oscillate so that the ground state can have a phase difference of zero, as in a conventional Josephson junction, or a phase difference of pi, depending on the barrier thickness. The oscillation length is a function of the ferromagnetic exchange energy, Eex, and temperature, so SFS junctions with Eex ≈ Tc (the superconducting transition temperature) that are fabricated near a 0-to-pi crossover thickness can also be modulated between the 0-state and pi-state as a function of temperature. We use the weak ferromagnetic alloy Cu47Ni53 as the barrier material with a thickness of 7nm, which is near the first thickness dependent 0-to-pi crossover point. At this crossover point, it has been predicted that an intrinsic second-order term would dominate the CPR due to the suppression of the first-order component. Alternative theories predict that a negative second-order term could arise, in a narrow temperature regime at the 0-to-pi crossover point, from a competition between the 0-state and pi-state due to inhomogeneities. Our direct measurement indicates a positive second-harmonic that is constant over the temperature range where it is accessible. Additional transport measurements are consistent with the direct measurement and indicate that the second-harmonic term persists over a temperature range of at least 1.5K. These results indicate an intrinsic second-harmonic in the CPR of our junctions.","Made available in DSpace on 2015-09-25T20:03:19Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3392487.pdf: 3235807 bytes, checksum: e8f1b71d35242e0dc5107b0348cb799f (MD5) Previous issue date: 2009","Embargo set by: Seth Robbins for item 81903 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","84 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009."],"dc:identifier":["http://hdl.handle.net/2142/80621","(MiAaPQ)AAI3392487"],"dc:language":["eng"],"dc:subject":["Physics, Condensed Matter"],"dc:title":["Non-Sinusoidal Current -Phase Relations in Superconductor-Ferromagnet-Superconductor Josephson Junctions"],"dc:type":["text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:14Z"}