{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/101528"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/101528","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Power-law liquid in high-temperature superconductors","abstract":"Inspired by recent photoemission measurements, we demonstrate that the normal state of cuprate superconductors can be described by a power-law liquid, a state of matter with a power-law self-energy $\\Sigma^{\\pr\\pr}\\sim(\\omega^{2}+\\pi^{2}T^{2})^{\\alpha}$. The scaling exponent decreases from $\\alpha\\sim1$ in the overdoped Fermi-liquid state to $\\alpha\\lesssim\\frac{1}{2}$ in the optimal and underdoped regime. We find that broad scale invariance of a power-law liquid leads to the cuprates' superconducting dome, vanishing Fermi velocity, and diverging effective mass. We propose that a power-law liquid can arise from the presence of a scale-invariant sector known as unparticles. To extend the power-law liquid framework to include the ubiquitous magnetic phases of high-$T_{c}$ superconductors, we study the local-itinerant dichotomy in iron pnictides. We show that an interplay between localized moments and itinerant electrons is needed to reproduce the spin excitations observed in inelastic neutron scattering experiments. These results further our understanding of the degrees of freedom in high-$T_{c}$ superconductors and will help formulate a consistent framework incorporating the physics of the antiferromagnetic, normal, and superconducting states.","abstract_html":"Inspired by recent photoemission measurements, we demonstrate that the normal state of cuprate superconductors can be described by a power-law liquid, a state of matter with a power-law self-energy <span class=\"etd-inline-math\">\\Sigma<sup>\\pr\\pr</sup>\\sim(&omega;<sup>2</sup>+&pi;<sup>2</sup>T<sup>2</sup>)<sup>&alpha;</sup></span>. The scaling exponent decreases from <span class=\"etd-inline-math\">&alpha;\\sim1</span> in the overdoped Fermi-liquid state to <span class=\"etd-inline-math\">&alpha;\\lesssim\\frac{1}{2}</span> in the optimal and underdoped regime. We find that broad scale invariance of a power-law liquid leads to the cuprates&#x27; superconducting dome, vanishing Fermi velocity, and diverging effective mass. We propose that a power-law liquid can arise from the presence of a scale-invariant sector known as unparticles. To extend the power-law liquid framework to include the ubiquitous magnetic phases of high-<span class=\"etd-inline-math\">T<sub>c</sub></span> superconductors, we study the local-itinerant dichotomy in iron pnictides. We show that an interplay between localized moments and itinerant electrons is needed to reproduce the spin excitations observed in inelastic neutron scattering experiments. These results further our understanding of the degrees of freedom in high-<span class=\"etd-inline-math\">T<sub>c</sub></span> superconductors and will help formulate a consistent framework incorporating the physics of the antiferromagnetic, normal, and superconducting states.","abstract_has_math":true,"creators":["Leong, Zhidong"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Phillips, Philip W.","Fradkin, Eduardo","Abbamonte, Peter","Gadway, Bryce"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-09-27T16:17:37Z","date_published":"2018-09-27T16:17:37Z","updated_at":"2026-07-22T22:24:40Z","subjects":["superconductors","cuprates","power-law liquid","non-Fermi liquid","superconducting dome","scale-invariance"],"languages":["en"],"rights":["Copyright 2018 Zhidong Leong"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/101528","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Phillips, Philip W.","Fradkin, Eduardo","Abbamonte, Peter","Gadway, Bryce"]},{"key":"dc:creator","label":"Author","values":["Leong, Zhidong"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-09-27T16:17:37Z","2018-07-05","2018-08"]},{"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":["superconductors","cuprates","power-law liquid","non-Fermi liquid","superconducting dome","scale-invariance"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2018 Zhidong Leong"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/101528"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Inspired by recent photoemission measurements, we demonstrate that the normal state of cuprate superconductors can be described by a power-law liquid, a state of matter with a power-law self-energy $\\Sigma^{\\pr\\pr}\\sim(\\omega^{2}+\\pi^{2}T^{2})^{\\alpha}$. The scaling exponent decreases from $\\alpha\\sim1$ in the overdoped Fermi-liquid state to $\\alpha\\lesssim\\frac{1}{2}$ in the optimal and underdoped regime. We find that broad scale invariance of a power-law liquid leads to the cuprates' superconducting dome, vanishing Fermi velocity, and diverging effective mass. We propose that a power-law liquid can arise from the presence of a scale-invariant sector known as unparticles. To extend the power-law liquid framework to include the ubiquitous magnetic phases of high-$T_{c}$ superconductors, we study the local-itinerant dichotomy in iron pnictides. We show that an interplay between localized moments and itinerant electrons is needed to reproduce the spin excitations observed in inelastic neutron scattering experiments. These results further our understanding of the degrees of freedom in high-$T_{c}$ superconductors and will help formulate a consistent framework incorporating the physics of the antiferromagnetic, normal, and superconducting states.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-09-27 without embargo terms","The student, Zhidong Leong, accepted the attached license on 2018-07-04 at 00:38.","The student, Zhidong Leong, submitted this Dissertation for approval on 2018-07-04 at 00:52.","This Dissertation was approved for publication on 2018-07-05 at 10:08.","DSpace SAF Submission Ingestion Package generated from Vireo submission #12727 on 2018-09-27 at 10:46:34","Made available in DSpace on 2018-09-27T16:17:37Z (GMT). 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The scaling exponent decreases from $\\alpha\\sim1$ in the overdoped Fermi-liquid state to $\\alpha\\lesssim\\frac{1}{2}$ in the optimal and underdoped regime. We find that broad scale invariance of a power-law liquid leads to the cuprates' superconducting dome, vanishing Fermi velocity, and diverging effective mass. We propose that a power-law liquid can arise from the presence of a scale-invariant sector known as unparticles. To extend the power-law liquid framework to include the ubiquitous magnetic phases of high-$T_{c}$ superconductors, we study the local-itinerant dichotomy in iron pnictides. We show that an interplay between localized moments and itinerant electrons is needed to reproduce the spin excitations observed in inelastic neutron scattering experiments. These results further our understanding of the degrees of freedom in high-$T_{c}$ superconductors and will help formulate a consistent framework incorporating the physics of the antiferromagnetic, normal, and superconducting states.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-09-27 without embargo terms","The student, Zhidong Leong, accepted the attached license on 2018-07-04 at 00:38.","The student, Zhidong Leong, submitted this Dissertation for approval on 2018-07-04 at 00:52.","This Dissertation was approved for publication on 2018-07-05 at 10:08.","DSpace SAF Submission Ingestion Package generated from Vireo submission #12727 on 2018-09-27 at 10:46:34","Made available in DSpace on 2018-09-27T16:17:37Z (GMT). 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