{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/104736"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/104736","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Patterns of electro-magnetic response in topological semi-metals","abstract":"Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this thesis, we consider semimetals which have point like Fermi surfaces in various spatial dimensions $D=1,2,3$ which naturally occur in the transition between $n$th order weak topological insulators and a trivial insulating phase. These semimetals include those of Dirac and Weyl type. We construct these phases by layering strong topological insulator phases in lower dimensions. This perspective helps us understand their effective response field theory, which is generally characterized by a $n$-form which represents a source of Lorentz violation and can be read off from the location of the singular points in momentum space and the helicities/chiralities of the singularities. We motivate and derive effective response actions for the 2D and 3D Dirac semi-metals, the Weyl semimetal, the 3D line node semi-metal and the 3D mirror protected topological crystalline insulator.","abstract_html":"Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this thesis, we consider semimetals which have point like Fermi surfaces in various spatial dimensions $D=1,2,3$ which naturally occur in the transition between $n$th order weak topological insulators and a trivial insulating phase. These semimetals include those of Dirac and Weyl type. We construct these phases by layering strong topological insulator phases in lower dimensions. This perspective helps us understand their effective response field theory, which is generally characterized by a $n$-form which represents a source of Lorentz violation and can be read off from the location of the singular points in momentum space and the helicities/chiralities of the singularities. We motivate and derive effective response actions for the 2D and 3D Dirac semi-metals, the Weyl semimetal, the 3D line node semi-metal and the 3D mirror protected topological crystalline insulator.","abstract_has_math":true,"creators":["Ramamurthy, Srinidhi T."],"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.","Phillips, Philip W.","Cooper, S. Lance","Leigh, Robert G."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-08-23T19:51:23Z","date_published":"2019-08-23T19:51:23Z","updated_at":"2026-07-22T22:24:42Z","subjects":["Topological physics, Topological semi-metals, Electromagnetic response."],"languages":["en"],"rights":["Copyright 2019 Srinidhi Ramamurthy"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/104736","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hughes, Taylor L.","Phillips, Philip W.","Cooper, S. 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In this thesis, we consider semimetals which have point like Fermi surfaces in various spatial dimensions $D=1,2,3$ which naturally occur in the transition between $n$th order weak topological insulators and a trivial insulating phase. These semimetals include those of Dirac and Weyl type. We construct these phases by layering strong topological insulator phases in lower dimensions. This perspective helps us understand their effective response field theory, which is generally characterized by a $n$-form which represents a source of Lorentz violation and can be read off from the location of the singular points in momentum space and the helicities/chiralities of the singularities. We motivate and derive effective response actions for the 2D and 3D Dirac semi-metals, the Weyl semimetal, the 3D line node semi-metal and the 3D mirror protected topological crystalline insulator.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2019-08-22 without embargo terms","The student, Srinidhi Ramamurthy, accepted the attached license on 2019-01-03 at 22:31.","The student, Srinidhi Ramamurthy, submitted this Dissertation for approval on 2019-01-03 at 22:36.","This Dissertation was approved for publication on 2019-01-07 at 16:12.","DSpace SAF Submission Ingestion Package generated from Vireo submission #13348 on 2019-08-22 at 14:39:05","Made available in DSpace on 2019-08-23T19:51:23Z (GMT). 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In this thesis, we consider semimetals which have point like Fermi surfaces in various spatial dimensions $D=1,2,3$ which naturally occur in the transition between $n$th order weak topological insulators and a trivial insulating phase. These semimetals include those of Dirac and Weyl type. We construct these phases by layering strong topological insulator phases in lower dimensions. This perspective helps us understand their effective response field theory, which is generally characterized by a $n$-form which represents a source of Lorentz violation and can be read off from the location of the singular points in momentum space and the helicities/chiralities of the singularities. We motivate and derive effective response actions for the 2D and 3D Dirac semi-metals, the Weyl semimetal, the 3D line node semi-metal and the 3D mirror protected topological crystalline insulator.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2019-08-22 without embargo terms","The student, Srinidhi Ramamurthy, accepted the attached license on 2019-01-03 at 22:31.","The student, Srinidhi Ramamurthy, submitted this Dissertation for approval on 2019-01-03 at 22:36.","This Dissertation was approved for publication on 2019-01-07 at 16:12.","DSpace SAF Submission Ingestion Package generated from Vireo submission #13348 on 2019-08-22 at 14:39:05","Made available in DSpace on 2019-08-23T19:51:23Z (GMT). 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