{"id":{"repo_id":"cambridge","oai_identifier":"oai:www.repository.cam.ac.uk:1810/343091"},"canonical_url":"https://search.dev.ndltd.org/etd/cambridge/oai:www.repository.cam.ac.uk:1810/343091","repository":{"repo_id":"cambridge","name":"Cambridge University","base_url":"https://api.repository.cam.ac.uk/server/oai/request"},"display":{"title":"Superconducting phase transitions in hybrid superconducting systems with ferromagnets and spin-orbit coupling","abstract":"This PhD thesis investigates theoretically the proximity-coupling of superconductivity with ferromagnetism and/or spin-orbit coupling (SOC) in hybrid superconductor systems. The results are summarised in three results chapters which assess the proximity effect in hybrid superconductor systems through calculations of the superconducting phase transition (i.e., the critical temperature T_c and critical fields h_c1 and h_c2). Chapter 3 investigates a ferromagnetic (F) strip on a thin film superconductor (S) with interfacial Rashba SOC in the Ginzburg-Landau formalism. In the presence of SOC, h_c1 has a positive vortex contribution and a negative contribution from the interaction between vortices and SOC. Since the latter is negative, SOC lowers h_c1. When the SOC is strong enough, h_c1 becomes zero and vortices are generated in the absence of a magnetic field. Chapter 4 considers the phase diagram of a thin film S with SOC in the Usadel formalism. Comparing infinite films with and without SOC, the SOC renormalises the magnetic field, effectively increasing h_c2. In finite sized samples, singlet-to-triplet conversion results in spin magnetisation at the sample edges. This edge effect suppresses the phase transition. Due to the sample size-dependence, the transition can be controlled in shape-anisotropic samples by rotating the applied magnetic field direction. Finally, chapter 6 explores an s-wave superconductor (S) / chiral p-wave superconductor (P) junction in the Bogoliubov-de Gennes lattice model. In a S/P junction, the singlet Cooper pairs in S cannot mix with the triplet Cooper pairs in P and T_c of both layers remains the same. However, in a S/F/P junction, F converts singlet pairs to triplet pairs, which boosts the P T_c. By rotating the F layer magnetisation, the singlet pairs convert into a different type of triplet pair state that cannot enter P and T_c is unaffected. Hence, in a S/F/P junction, P T_c is magnetisation-orientation-dependent.","abstract_html":"This PhD thesis investigates theoretically the proximity-coupling of superconductivity with ferromagnetism and/or spin-orbit coupling (SOC) in hybrid superconductor systems. The results are summarised in three results chapters which assess the proximity effect in hybrid superconductor systems through calculations of the superconducting phase transition (i.e., the critical temperature T_c and critical fields h_c1 and h_c2). Chapter 3 investigates a ferromagnetic (F) strip on a thin film superconductor (S) with interfacial Rashba SOC in the Ginzburg-Landau formalism. In the presence of SOC, h_c1 has a positive vortex contribution and a negative contribution from the interaction between vortices and SOC. Since the latter is negative, SOC lowers h_c1. When the SOC is strong enough, h_c1 becomes zero and vortices are generated in the absence of a magnetic field. Chapter 4 considers the phase diagram of a thin film S with SOC in the Usadel formalism. Comparing infinite films with and without SOC, the SOC renormalises the magnetic field, effectively increasing h_c2. In finite sized samples, singlet-to-triplet conversion results in spin magnetisation at the sample edges. This edge effect suppresses the phase transition. Due to the sample size-dependence, the transition can be controlled in shape-anisotropic samples by rotating the applied magnetic field direction. Finally, chapter 6 explores an s-wave superconductor (S) / chiral p-wave superconductor (P) junction in the Bogoliubov-de Gennes lattice model. In a S/P junction, the singlet Cooper pairs in S cannot mix with the triplet Cooper pairs in P and T_c of both layers remains the same. However, in a S/F/P junction, F converts singlet pairs to triplet pairs, which boosts the P T_c. By rotating the F layer magnetisation, the singlet pairs convert into a different type of triplet pair state that cannot enter P and T_c is unaffected. Hence, in a S/F/P junction, P T_c is magnetisation-orientation-dependent.","abstract_has_math":false,"creators":["Olde Olthof, Linde"],"institution":"University of Cambridge","degree_name":"Doctor of Philosophy (PhD)","degree_level":"Doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Robinson, Jason"],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-08","date_published":"2022-08","updated_at":"2026-07-22T22:24:03Z","subjects":["Superconductivity","Spintronics","Spin-orbit coupling","Ferromagnets","Phase transition","Superconducting spintronics"],"languages":["eng"],"rights":[],"rights_urls":["https://www.rioxx.net/licenses/all-rights-reserved/"],"identifier_entries":[]},"links":{"outbound_url":"https://doi.org/10.17863/CAM.90502","outbound_label":"DOI","outbound_source":"dc:identifier.doi"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Robinson, Jason"]},{"key":"dc:contributor.sponsor","label":"Sponsor","values":["This PhD was funded by the Core-to-Core International Network \"Oxide Superspin\" (EP/P026311/1), the \"Superconducting Spintronics\" Programme Grant (EP/N017242/1), the Doctoral Training Partnership Grant (EP/N509620/1) and the Cambridge NanoDTC (EP/S022953/1)."]},{"key":"dc:creator","label":"Author","values":["Olde Olthof, Linde"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2022-08"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cambridge"]},{"key":"dc:relation.isreferencedby.uri","label":"Dc Relation Isreferencedby URI","values":["https://www.repository.cam.ac.uk/handle/1810/343091"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["Doctor of Philosophy (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Superconductivity","Spintronics","Spin-orbit coupling","Ferromagnets","Phase transition","Superconducting spintronics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["https://www.rioxx.net/licenses/all-rights-reserved/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.doi","label":"DOI","values":["10.17863/CAM.90502"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/aafced71-4f8c-4df7-b843-01f19b029451/download"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This PhD thesis investigates theoretically the proximity-coupling of superconductivity with ferromagnetism and/or spin-orbit coupling (SOC) in hybrid superconductor systems. The results are summarised in three results chapters which assess the proximity effect in hybrid superconductor systems through calculations of the superconducting phase transition (i.e., the critical temperature T_c and critical fields h_c1 and h_c2). Chapter 3 investigates a ferromagnetic (F) strip on a thin film superconductor (S) with interfacial Rashba SOC in the Ginzburg-Landau formalism. In the presence of SOC, h_c1 has a positive vortex contribution and a negative contribution from the interaction between vortices and SOC. Since the latter is negative, SOC lowers h_c1. When the SOC is strong enough, h_c1 becomes zero and vortices are generated in the absence of a magnetic field. Chapter 4 considers the phase diagram of a thin film S with SOC in the Usadel formalism. Comparing infinite films with and without SOC, the SOC renormalises the magnetic field, effectively increasing h_c2. In finite sized samples, singlet-to-triplet conversion results in spin magnetisation at the sample edges. This edge effect suppresses the phase transition. Due to the sample size-dependence, the transition can be controlled in shape-anisotropic samples by rotating the applied magnetic field direction. Finally, chapter 6 explores an s-wave superconductor (S) / chiral p-wave superconductor (P) junction in the Bogoliubov-de Gennes lattice model. In a S/P junction, the singlet Cooper pairs in S cannot mix with the triplet Cooper pairs in P and T_c of both layers remains the same. However, in a S/F/P junction, F converts singlet pairs to triplet pairs, which boosts the P T_c. By rotating the F layer magnetisation, the singlet pairs convert into a different type of triplet pair state that cannot enter P and T_c is unaffected. Hence, in a S/F/P junction, P T_c is magnetisation-orientation-dependent."]},{"key":"dc:format.checksum.md5","label":"Dc Format Checksum Md5","values":["447214d47a1d256387e79a2896473aa1"]},{"key":"dc:title","label":"Title","values":["Superconducting phase transitions in hybrid superconducting systems with ferromagnets and spin-orbit coupling"]}]}],"canonical_facts":{"dc:contributor.advisor":["Robinson, Jason"],"dc:contributor.sponsor":["This PhD was funded by the Core-to-Core International Network \"Oxide Superspin\" (EP/P026311/1), the \"Superconducting Spintronics\" Programme Grant (EP/N017242/1), the Doctoral Training Partnership Grant (EP/N509620/1) and the Cambridge NanoDTC (EP/S022953/1)."],"dc:creator":["Olde Olthof, Linde"],"dc:date.issued":["2022-08"],"dc:description.abstract":["This PhD thesis investigates theoretically the proximity-coupling of superconductivity with ferromagnetism and/or spin-orbit coupling (SOC) in hybrid superconductor systems. The results are summarised in three results chapters which assess the proximity effect in hybrid superconductor systems through calculations of the superconducting phase transition (i.e., the critical temperature T_c and critical fields h_c1 and h_c2). Chapter 3 investigates a ferromagnetic (F) strip on a thin film superconductor (S) with interfacial Rashba SOC in the Ginzburg-Landau formalism. In the presence of SOC, h_c1 has a positive vortex contribution and a negative contribution from the interaction between vortices and SOC. Since the latter is negative, SOC lowers h_c1. When the SOC is strong enough, h_c1 becomes zero and vortices are generated in the absence of a magnetic field. Chapter 4 considers the phase diagram of a thin film S with SOC in the Usadel formalism. Comparing infinite films with and without SOC, the SOC renormalises the magnetic field, effectively increasing h_c2. In finite sized samples, singlet-to-triplet conversion results in spin magnetisation at the sample edges. This edge effect suppresses the phase transition. Due to the sample size-dependence, the transition can be controlled in shape-anisotropic samples by rotating the applied magnetic field direction. Finally, chapter 6 explores an s-wave superconductor (S) / chiral p-wave superconductor (P) junction in the Bogoliubov-de Gennes lattice model. In a S/P junction, the singlet Cooper pairs in S cannot mix with the triplet Cooper pairs in P and T_c of both layers remains the same. However, in a S/F/P junction, F converts singlet pairs to triplet pairs, which boosts the P T_c. By rotating the F layer magnetisation, the singlet pairs convert into a different type of triplet pair state that cannot enter P and T_c is unaffected. Hence, in a S/F/P junction, P T_c is magnetisation-orientation-dependent."],"dc:format.checksum.md5":["447214d47a1d256387e79a2896473aa1"],"dc:identifier.doi":["10.17863/CAM.90502"],"dc:identifier.uri":["https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/aafced71-4f8c-4df7-b843-01f19b029451/download"],"dc:language":["eng"],"dc:publisher.institution":["University of Cambridge"],"dc:relation.isreferencedby.uri":["https://www.repository.cam.ac.uk/handle/1810/343091"],"dc:rights":["https://www.rioxx.net/licenses/all-rights-reserved/"],"dc:subject":["Superconductivity","Spintronics","Spin-orbit coupling","Ferromagnets","Phase transition","Superconducting spintronics"],"dc:title":["Superconducting phase transitions in hybrid superconducting systems with ferromagnets and spin-orbit coupling"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["Doctoral"],"dc:type.qualificationname":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-22T22:24:03Z"}