{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/117639"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/117639","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Higher-rank gauge theories in condensed matter physics","abstract":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-12-01","abstract_html":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-12-01","abstract_has_math":false,"creators":["Dubinkin, Oleg"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Hughes, Taylor L","Bradlyn, Barry","Leigh, Robert G","Abbamonte, Peter"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-12","date_published":"2022-12","updated_at":"2026-07-22T22:24:56Z","subjects":["Topological Insulators","Spt","Hoti","Rank-2 Gauge Fields","Dipole Insulators"],"languages":["en","eng"],"rights":["Copyright 2022 Oleg Dubinkin"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2142/117639","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hughes, Taylor L","Bradlyn, Barry","Leigh, Robert G","Abbamonte, Peter"]},{"key":"dc:creator","label":"Author","values":["Dubinkin, Oleg"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2022-12","2022-10-31"]},{"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":["Topological Insulators","Spt","Hoti","Rank-2 Gauge Fields","Dipole Insulators"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2022 Oleg Dubinkin"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/117639"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-12-01","The student, Oleg Dubinkin, accepted the attached license on 2022-10-24 at 12:56.","The student, Oleg Dubinkin, submitted this Dissertation for approval on 2022-10-24 at 13:02.","This Dissertation was approved for publication on 2022-10-31 at 14:47.","DSpace SAF Submission Ingestion Package generated from Vireo submission #18535 on 2023-04-12 at 08:10:43","This thesis summarizes my efforts to bridging the gap between two recently proposed classes of topological matter: higher-order topological insulators (HOTI) and fracton phases of matter. Getting a clear under- standing of these systems will answer fundamental questions about the effects of symmetry and topology in quantum materials and open doors to novel devices. In particular, fracton states have the potential to serve as building blocks for quantum hard drives and logic elements, and HOTIs can exhibit robust electronic modes and electromagnetic responses. These classes of quantum phases are unified by the existence of additional conservation laws, e.g., conservation of the electric dipole moment. In HOTI phases dipole conservation is typically a ground-state property that allows the system to have a well-defined electric quadrupole moment which generates protected electronic states and/or fractional charge localized at the corners of a sample. In fracton phases, dipole conservation is a microscopic conservation law that greatly constrains the motion of individual charges around the system. In both cases, the added conservation laws are often tied to symmetries of the underlying lattices, which in turn places crystalline symmetries at the forefront of my research."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Higher-rank gauge theories in condensed matter physics"]}]}],"canonical_facts":{"dc:contributor":["Hughes, Taylor L","Bradlyn, Barry","Leigh, Robert G","Abbamonte, Peter"],"dc:creator":["Dubinkin, Oleg"],"dc:date":["2022-12","2022-10-31"],"dc:description":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-12-01","The student, Oleg Dubinkin, accepted the attached license on 2022-10-24 at 12:56.","The student, Oleg Dubinkin, submitted this Dissertation for approval on 2022-10-24 at 13:02.","This Dissertation was approved for publication on 2022-10-31 at 14:47.","DSpace SAF Submission Ingestion Package generated from Vireo submission #18535 on 2023-04-12 at 08:10:43","This thesis summarizes my efforts to bridging the gap between two recently proposed classes of topological matter: higher-order topological insulators (HOTI) and fracton phases of matter. Getting a clear under- standing of these systems will answer fundamental questions about the effects of symmetry and topology in quantum materials and open doors to novel devices. In particular, fracton states have the potential to serve as building blocks for quantum hard drives and logic elements, and HOTIs can exhibit robust electronic modes and electromagnetic responses. These classes of quantum phases are unified by the existence of additional conservation laws, e.g., conservation of the electric dipole moment. In HOTI phases dipole conservation is typically a ground-state property that allows the system to have a well-defined electric quadrupole moment which generates protected electronic states and/or fractional charge localized at the corners of a sample. In fracton phases, dipole conservation is a microscopic conservation law that greatly constrains the motion of individual charges around the system. In both cases, the added conservation laws are often tied to symmetries of the underlying lattices, which in turn places crystalline symmetries at the forefront of my research."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/117639"],"dc:language":["en","eng"],"dc:rights":["Copyright 2022 Oleg Dubinkin"],"dc:subject":["Topological Insulators","Spt","Hoti","Rank-2 Gauge Fields","Dipole Insulators"],"dc:title":["Higher-rank gauge theories in condensed matter physics"],"dc:type":["text","Thesis"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:56Z"}