{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/95602"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/95602","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Electromagnetic response of time-reversal breaking metallic phases in two dimensions","abstract":"We explore two phases in two-dimensional electron fluids in which the time-reversal symmetry is broken spontaneously by using the method of higher dimensional bosonization. Mean-field calculations show that the order parameter is two two-component real vectors [Sun and Fradkin 2008]. There are two phases: the beta phase in which the two order parameters are perpendicular and the alpha phase in which they are parallel. This beta phase exhibits nonvanishing un-quantized anomalous Hall effect in the absence of external magnetic fields, which corresponds to the Berry curvature on the Fermi surface. The alpha phase does not have that property. To go beyond the mean-field, we introduce the machinery of higher dimensional bosonization. Our preliminary results show that in the mean field limit of the bosonized theory, the fluid spontaneously transforms into the time-reversal broken phase. It is evident from the result that the critical point we have is similar to that of Pomeranchuk instability. The quartic term in the dispersion expansion needed to be introduced to stabilize the theory. The correction coming from the higher order terms introduces the coupling to the curvature of the Fermi surfaces. The beta phase in the bosonized picture is not correct so we go back to the fermionic theory and integrate out the fermions in the symmetric phase directly to achieve an effective action. Finally, the full response polarization tensor is derived and its Ward identity is shown to be obeyed.","abstract_html":"We explore two phases in two-dimensional electron fluids in which the time-reversal symmetry is broken spontaneously by using the method of higher dimensional bosonization. Mean-field calculations show that the order parameter is two two-component real vectors [Sun and Fradkin 2008]. There are two phases: the beta phase in which the two order parameters are perpendicular and the alpha phase in which they are parallel. This beta phase exhibits nonvanishing un-quantized anomalous Hall effect in the absence of external magnetic fields, which corresponds to the Berry curvature on the Fermi surface. The alpha phase does not have that property. To go beyond the mean-field, we introduce the machinery of higher dimensional bosonization. Our preliminary results show that in the mean field limit of the bosonized theory, the fluid spontaneously transforms into the time-reversal broken phase. It is evident from the result that the critical point we have is similar to that of Pomeranchuk instability. The quartic term in the dispersion expansion needed to be introduced to stabilize the theory. The correction coming from the higher order terms introduces the coupling to the curvature of the Fermi surfaces. The beta phase in the bosonized picture is not correct so we go back to the fermionic theory and integrate out the fermions in the symmetric phase directly to achieve an effective action. Finally, the full response polarization tensor is derived and its Ward identity is shown to be obeyed.","abstract_has_math":false,"creators":["Assawasunthonnet, Wathid"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Fradkin, Eduardor H","Ryu, Shinsei","Faulkner, Tom","Mason, Nadya"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2017,"date_issued":"2017-03-01T17:01:51Z","date_published":"2017-03-01T17:01:51Z","updated_at":"2026-07-22T22:26:37Z","subjects":["Anomalous Hall Effect","Non-Fermi liquid","Condensed matter"],"languages":["en"],"rights":["Copyright 2016 Wathid Assawasunthonnet"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/95602","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Fradkin, Eduardor H","Ryu, Shinsei","Faulkner, Tom","Mason, Nadya"]},{"key":"dc:creator","label":"Author","values":["Assawasunthonnet, Wathid"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2017-03-01T17:01:51Z","2019-03-02T10:15:30Z","2016-12-02","2016-12"]},{"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":["Anomalous Hall Effect","Non-Fermi liquid","Condensed matter"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2016 Wathid Assawasunthonnet"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/95602"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We explore two phases in two-dimensional electron fluids in which the time-reversal symmetry is broken spontaneously by using the method of higher dimensional bosonization. Mean-field calculations show that the order parameter is two two-component real vectors [Sun and Fradkin 2008]. There are two phases: the beta phase in which the two order parameters are perpendicular and the alpha phase in which they are parallel. This beta phase exhibits nonvanishing un-quantized anomalous Hall effect in the absence of external magnetic fields, which corresponds to the Berry curvature on the Fermi surface. The alpha phase does not have that property. To go beyond the mean-field, we introduce the machinery of higher dimensional bosonization. Our preliminary results show that in the mean field limit of the bosonized theory, the fluid spontaneously transforms into the time-reversal broken phase. It is evident from the result that the critical point we have is similar to that of Pomeranchuk instability. The quartic term in the dispersion expansion needed to be introduced to stabilize the theory. The correction coming from the higher order terms introduces the coupling to the curvature of the Fermi surfaces. The beta phase in the bosonized picture is not correct so we go back to the fermionic theory and integrate out the fermions in the symmetric phase directly to achieve an effective action. Finally, the full response polarization tensor is derived and its Ward identity is shown to be obeyed.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2018-12-01","The student, Wathid Assawasunthonnet, accepted the attached license on 2016-12-01 at 09:51.","The student, Wathid Assawasunthonnet, submitted this Dissertation for approval on 2016-12-01 at 10:01.","This Dissertation was approved for publication on 2016-12-02 at 09:16.","DSpace SAF Submission Ingestion Package generated from Vireo submission #10392 on 2017-02-28 at 14:42:42","Made available in DSpace on 2017-03-01T17:01:51Z (GMT). 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Mean-field calculations show that the order parameter is two two-component real vectors [Sun and Fradkin 2008]. There are two phases: the beta phase in which the two order parameters are perpendicular and the alpha phase in which they are parallel. This beta phase exhibits nonvanishing un-quantized anomalous Hall effect in the absence of external magnetic fields, which corresponds to the Berry curvature on the Fermi surface. The alpha phase does not have that property. To go beyond the mean-field, we introduce the machinery of higher dimensional bosonization. Our preliminary results show that in the mean field limit of the bosonized theory, the fluid spontaneously transforms into the time-reversal broken phase. It is evident from the result that the critical point we have is similar to that of Pomeranchuk instability. The quartic term in the dispersion expansion needed to be introduced to stabilize the theory. The correction coming from the higher order terms introduces the coupling to the curvature of the Fermi surfaces. The beta phase in the bosonized picture is not correct so we go back to the fermionic theory and integrate out the fermions in the symmetric phase directly to achieve an effective action. Finally, the full response polarization tensor is derived and its Ward identity is shown to be obeyed.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2018-12-01","The student, Wathid Assawasunthonnet, accepted the attached license on 2016-12-01 at 09:51.","The student, Wathid Assawasunthonnet, submitted this Dissertation for approval on 2016-12-01 at 10:01.","This Dissertation was approved for publication on 2016-12-02 at 09:16.","DSpace SAF Submission Ingestion Package generated from Vireo submission #10392 on 2017-02-28 at 14:42:42","Made available in DSpace on 2017-03-01T17:01:51Z (GMT). No. of bitstreams: 3 ASSAWASUNTHONNET-DISSERTATION-2016.pdf: 2842324 bytes, checksum: 158d7bb0458b0fe66d3cd5f2501facdd (MD5) LICENSE.txt: 4220 bytes, checksum: 4fb78a5ed9a6f3ad78a1e608cee40e4f (MD5) PROQUEST_LICENSE.txt: 4566 bytes, checksum: 914a9ed4aba95cd75eeb8bc421fb6a52 (MD5) Previous issue date: 2016-12-02","Embargo set by: Seth Robbins for item 98718 Lift date: 2019-03-01T17:02:22Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Embargo set by: Seth Robbins for item 98718 Lift date: 2019-03-01T17:03:32Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Embargo set by: Seth Robbins for item 98718 Lift date: 2019-03-01T17:05:02Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Embargo set by: Seth Robbins for item 98718 Lift date: 2019-03-01T17:06:55Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Limited Restriction Lifted for Item 98718 on 2019-03-02T10:15:30Z."],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/95602"],"dc:language":["en"],"dc:rights":["Copyright 2016 Wathid Assawasunthonnet"],"dc:subject":["Anomalous Hall Effect","Non-Fermi liquid","Condensed matter"],"dc:title":["Electromagnetic response of time-reversal breaking metallic phases in two dimensions"],"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":"2026-07-22T22:26:37Z"}