{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/109520"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/109520","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The effects of disorder on superconducting islands and island arrays","abstract":"Characterizing the role of disorder in 2D and mesoscopic superconducting materials has proven pivotal in the understanding of quantum phase transitions. In the presence of Anderson localization, electronic wavefunctions are known to become localized leading to strongly correlated phases of matter in which competing mechanisms including localization, Cooper pairing and interactions are at play. These strong interactions have been known to lead to unusual ground states and previously theoretically prohibited metallic states. However, despite various excellent theoretical and experimental efforts, the origin of these exotic ground states in the presence of disorder remains widely debated. Thus, controlling and tuning disorder has proven necessary to gain insights into the microscopic nature of superconductivity in the quantum regime. As a result, the work in this thesis lies in the intersection between superconductivity and disorder and focuses on (1) systematically characterizing the effects of disorder in the presence of thermal and magnetic field effects and (2) defining and tuning disorder parameters in a controllable and reproducible manner. We studied two different superconducting systems: single and coupled Nb islands as well as Sn island arrays on graphene. The Nb islands provided a way to study the effects of granularity (a form of disorder) on the onset of superconductivity of mesoscopic systems. We found the onset of superconductivity in these devices to be consistent with the formation of rare-regions. Moreover, in the presence of a magnetic field, these Nb islands presented an enhanced competition between vortex pinning effects and vortex-vortex interactions due to their confined geometry and strong disorder. The Sn island arrays on graphene served as a platform to study the effects of point disorder on the magnetic field-driven superconductor-insulator quantum phase transition. By tuning point disorder in the system, we observed an evolution of critical exponents and a crossover from a possible vortex glass to a likely Griffiths-type phase to a percolative-driven transition for devices having resistances less than the quantum of resistance R_Q.","abstract_html":"Characterizing the role of disorder in 2D and mesoscopic superconducting materials has proven pivotal in the understanding of quantum phase transitions. In the presence of Anderson localization, electronic wavefunctions are known to become localized leading to strongly correlated phases of matter in which competing mechanisms including localization, Cooper pairing and interactions are at play. These strong interactions have been known to lead to unusual ground states and previously theoretically prohibited metallic states. However, despite various excellent theoretical and experimental efforts, the origin of these exotic ground states in the presence of disorder remains widely debated. Thus, controlling and tuning disorder has proven necessary to gain insights into the microscopic nature of superconductivity in the quantum regime. As a result, the work in this thesis lies in the intersection between superconductivity and disorder and focuses on (1) systematically characterizing the effects of disorder in the presence of thermal and magnetic field effects and (2) defining and tuning disorder parameters in a controllable and reproducible manner. We studied two different superconducting systems: single and coupled Nb islands as well as Sn island arrays on graphene. The Nb islands provided a way to study the effects of granularity (a form of disorder) on the onset of superconductivity of mesoscopic systems. We found the onset of superconductivity in these devices to be consistent with the formation of rare-regions. Moreover, in the presence of a magnetic field, these Nb islands presented an enhanced competition between vortex pinning effects and vortex-vortex interactions due to their confined geometry and strong disorder. The Sn island arrays on graphene served as a platform to study the effects of point disorder on the magnetic field-driven superconductor-insulator quantum phase transition. By tuning point disorder in the system, we observed an evolution of critical exponents and a crossover from a possible vortex glass to a likely Griffiths-type phase to a percolative-driven transition for devices having resistances less than the quantum of resistance R_Q.","abstract_has_math":false,"creators":["Garrido Menacho, Rita C."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Mason, Nadya","Van Harlingen, Dale J","Phillips, Philip W","Stack, John D"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021-03-05T21:42:47Z","date_published":"2021-03-05T21:42:47Z","updated_at":"2026-07-22T22:24:50Z","subjects":["Superconductivity","2D superconductivity","Disorder","Josephson junction arrays","Granular superconductivity","Confined geometries","Quantum phase transitions","Percolation","Vortex effects","Nanostructures","Phase fluctuations","Dissipation"],"languages":["en"],"rights":["Copyright 2020 Rita Garrido Menacho"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/109520","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Mason, Nadya","Van Harlingen, Dale J","Phillips, Philip W","Stack, John D"]},{"key":"dc:creator","label":"Author","values":["Garrido Menacho, Rita C."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2021-03-05T21:42:47Z","2023-03-05T21:43:00Z","2020-12-03","2020-12"]},{"key":"dc:type","label":"Dc Type","values":["text","Thesis"]},{"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":["Superconductivity","2D superconductivity","Disorder","Josephson junction arrays","Granular superconductivity","Confined geometries","Quantum phase transitions","Percolation","Vortex effects","Nanostructures","Phase fluctuations","Dissipation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2020 Rita Garrido Menacho"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/109520"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Characterizing the role of disorder in 2D and mesoscopic superconducting materials has proven pivotal in the understanding of quantum phase transitions. In the presence of Anderson localization, electronic wavefunctions are known to become localized leading to strongly correlated phases of matter in which competing mechanisms including localization, Cooper pairing and interactions are at play. These strong interactions have been known to lead to unusual ground states and previously theoretically prohibited metallic states. However, despite various excellent theoretical and experimental efforts, the origin of these exotic ground states in the presence of disorder remains widely debated. Thus, controlling and tuning disorder has proven necessary to gain insights into the microscopic nature of superconductivity in the quantum regime. As a result, the work in this thesis lies in the intersection between superconductivity and disorder and focuses on (1) systematically characterizing the effects of disorder in the presence of thermal and magnetic field effects and (2) defining and tuning disorder parameters in a controllable and reproducible manner. We studied two different superconducting systems: single and coupled Nb islands as well as Sn island arrays on graphene. The Nb islands provided a way to study the effects of granularity (a form of disorder) on the onset of superconductivity of mesoscopic systems. We found the onset of superconductivity in these devices to be consistent with the formation of rare-regions. Moreover, in the presence of a magnetic field, these Nb islands presented an enhanced competition between vortex pinning effects and vortex-vortex interactions due to their confined geometry and strong disorder. The Sn island arrays on graphene served as a platform to study the effects of point disorder on the magnetic field-driven superconductor-insulator quantum phase transition. By tuning point disorder in the system, we observed an evolution of critical exponents and a crossover from a possible vortex glass to a likely Griffiths-type phase to a percolative-driven transition for devices having resistances less than the quantum of resistance R_Q.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2022-12-01","The student, Rita Garrido Menacho, accepted the attached license on 2020-12-02 at 13:49.","The student, Rita Garrido Menacho, submitted this Dissertation for approval on 2020-12-02 at 14:30.","This Dissertation was approved for publication on 2020-12-03 at 13:43.","DSpace SAF Submission Ingestion Package generated from Vireo submission #16037 on 2021-03-04 at 16:20:19","Made available in DSpace on 2021-03-05T21:42:47Z (GMT). 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In the presence of Anderson localization, electronic wavefunctions are known to become localized leading to strongly correlated phases of matter in which competing mechanisms including localization, Cooper pairing and interactions are at play. These strong interactions have been known to lead to unusual ground states and previously theoretically prohibited metallic states. However, despite various excellent theoretical and experimental efforts, the origin of these exotic ground states in the presence of disorder remains widely debated. Thus, controlling and tuning disorder has proven necessary to gain insights into the microscopic nature of superconductivity in the quantum regime. As a result, the work in this thesis lies in the intersection between superconductivity and disorder and focuses on (1) systematically characterizing the effects of disorder in the presence of thermal and magnetic field effects and (2) defining and tuning disorder parameters in a controllable and reproducible manner. We studied two different superconducting systems: single and coupled Nb islands as well as Sn island arrays on graphene. The Nb islands provided a way to study the effects of granularity (a form of disorder) on the onset of superconductivity of mesoscopic systems. We found the onset of superconductivity in these devices to be consistent with the formation of rare-regions. Moreover, in the presence of a magnetic field, these Nb islands presented an enhanced competition between vortex pinning effects and vortex-vortex interactions due to their confined geometry and strong disorder. The Sn island arrays on graphene served as a platform to study the effects of point disorder on the magnetic field-driven superconductor-insulator quantum phase transition. By tuning point disorder in the system, we observed an evolution of critical exponents and a crossover from a possible vortex glass to a likely Griffiths-type phase to a percolative-driven transition for devices having resistances less than the quantum of resistance R_Q.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2022-12-01","The student, Rita Garrido Menacho, accepted the attached license on 2020-12-02 at 13:49.","The student, Rita Garrido Menacho, submitted this Dissertation for approval on 2020-12-02 at 14:30.","This Dissertation was approved for publication on 2020-12-03 at 13:43.","DSpace SAF Submission Ingestion Package generated from Vireo submission #16037 on 2021-03-04 at 16:20:19","Made available in DSpace on 2021-03-05T21:42:47Z (GMT). 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