{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80625"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80625","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Superconductivity in Multi-Band and Disordered Systems","abstract":"We propose that a clean array 4He atoms is a self-generated Mott insulator, that is, the 4He atoms constitute the lattice as well as the charge carriers. With this assumption, we are able to interpret the textbook defect-driven supersolids as excitations of either the lower or upper Hubbard bands. In the experiments at hand, disorder induces a closing of the Mott gap through the generation of mid-gap localized states at the chemical potential. Depending on the magnitude of the disorder, we find that the destruction of the Mott state takes place for d + z > 4 either through a Bose glass phase (strong disorder) or through a direct transition to a superfluid (weak disorder). For d + z < 4, disorder is always relevant. The critical value of the disorder that separates these two regimes is shown to be a function of the boson filling, interaction and the momentum cut off. We apply our work to the experimentally observed enhancement 3He impurities has on the onset temperature for the missing moment of inertia. We find quantitative agreement with experimental trends. (Abstract shortened by UMI.).","abstract_html":"We propose that a clean array 4He atoms is a self-generated Mott insulator, that is, the 4He atoms constitute the lattice as well as the charge carriers. With this assumption, we are able to interpret the textbook defect-driven supersolids as excitations of either the lower or upper Hubbard bands. In the experiments at hand, disorder induces a closing of the Mott gap through the generation of mid-gap localized states at the chemical potential. Depending on the magnitude of the disorder, we find that the destruction of the Mott state takes place for d + z &gt; 4 either through a Bose glass phase (strong disorder) or through a direct transition to a superfluid (weak disorder). For d + z &lt; 4, disorder is always relevant. The critical value of the disorder that separates these two regimes is shown to be a function of the boson filling, interaction and the momentum cut off. We apply our work to the experimentally observed enhancement 3He impurities has on the onset temperature for the missing moment of inertia. We find quantitative agreement with experimental trends. (Abstract shortened by UMI.).","abstract_has_math":false,"creators":["Wu, Jiansheng"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Cooper, S. Lance"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:03:20Z","date_published":"2015-09-25T20:03:20Z","updated_at":"2026-07-22T22:26:14Z","subjects":["Physics, Low Temperature"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3395543"],"render_values":[{"text":"(MiAaPQ)AAI3395543","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80625","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Cooper, S. 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With this assumption, we are able to interpret the textbook defect-driven supersolids as excitations of either the lower or upper Hubbard bands. In the experiments at hand, disorder induces a closing of the Mott gap through the generation of mid-gap localized states at the chemical potential. Depending on the magnitude of the disorder, we find that the destruction of the Mott state takes place for d + z > 4 either through a Bose glass phase (strong disorder) or through a direct transition to a superfluid (weak disorder). For d + z < 4, disorder is always relevant. The critical value of the disorder that separates these two regimes is shown to be a function of the boson filling, interaction and the momentum cut off. We apply our work to the experimentally observed enhancement 3He impurities has on the onset temperature for the missing moment of inertia. We find quantitative agreement with experimental trends. (Abstract shortened by UMI.).","Made available in DSpace on 2015-09-25T20:03:20Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3395543.pdf: 5838458 bytes, checksum: 11603e24757ed779836a955f1dfa82ad (MD5) Previous issue date: 2009","Embargo set by: Seth Robbins for item 81907 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","134 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009."]},{"key":"dc:title","label":"Title","values":["Superconductivity in Multi-Band and Disordered Systems"]}]}],"canonical_facts":{"dc:contributor":["Cooper, S. Lance"],"dc:creator":["Wu, Jiansheng"],"dc:date":["2015-09-25T20:03:20Z","10000-01-01","2009"],"dc:description":["We propose that a clean array 4He atoms is a self-generated Mott insulator, that is, the 4He atoms constitute the lattice as well as the charge carriers. With this assumption, we are able to interpret the textbook defect-driven supersolids as excitations of either the lower or upper Hubbard bands. In the experiments at hand, disorder induces a closing of the Mott gap through the generation of mid-gap localized states at the chemical potential. Depending on the magnitude of the disorder, we find that the destruction of the Mott state takes place for d + z > 4 either through a Bose glass phase (strong disorder) or through a direct transition to a superfluid (weak disorder). For d + z < 4, disorder is always relevant. The critical value of the disorder that separates these two regimes is shown to be a function of the boson filling, interaction and the momentum cut off. We apply our work to the experimentally observed enhancement 3He impurities has on the onset temperature for the missing moment of inertia. We find quantitative agreement with experimental trends. (Abstract shortened by UMI.).","Made available in DSpace on 2015-09-25T20:03:20Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3395543.pdf: 5838458 bytes, checksum: 11603e24757ed779836a955f1dfa82ad (MD5) Previous issue date: 2009","Embargo set by: Seth Robbins for item 81907 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","134 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009."],"dc:identifier":["http://hdl.handle.net/2142/80625","(MiAaPQ)AAI3395543"],"dc:language":["eng"],"dc:subject":["Physics, Low Temperature"],"dc:title":["Superconductivity in Multi-Band and Disordered Systems"],"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"}