{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/21756"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/21756","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The problem of spin and charge separation in condensed matter","abstract":"In this thesis, we study the problem of spin and charge separation in condensed matter. We focus primarily on Mott insulators at half-filling. It is known that one dimensional strongly correlated electronic systems display the phenomenon of spin and charge separation. We show that there exists a qualitatively different mechanism for the separation of spin and charge for two and higher dimensional strongly correlated electronic systems and that this mechanism is never available in one dimension.","abstract_html":"In this thesis, we study the problem of spin and charge separation in condensed matter. We focus primarily on Mott insulators at half-filling. It is known that one dimensional strongly correlated electronic systems display the phenomenon of spin and charge separation. We show that there exists a qualitatively different mechanism for the separation of spin and charge for two and higher dimensional strongly correlated electronic systems and that this mechanism is never available in one dimension.","abstract_has_math":false,"creators":["Murdy, Christopher Marc"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Fradkin, Eduardo H."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:18:12Z","date_published":"2011-05-07T13:18:12Z","updated_at":"2026-07-22T22:25:18Z","subjects":["Physics, Condensed Matter"],"languages":["eng"],"rights":["Copyright 1994 Murdy, Christopher Marc"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9512493","(UMI)AAI9512493"],"render_values":[{"text":"AAI9512493","href":null,"code":true},{"text":"(UMI)AAI9512493","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/21756","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Fradkin, Eduardo H."]},{"key":"dc:creator","label":"Author","values":["Murdy, Christopher Marc"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:18:12Z","10000-01-01","1994"]},{"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":["Physics, Condensed Matter"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1994 Murdy, Christopher Marc"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9512493","(UMI)AAI9512493","http://hdl.handle.net/2142/21756"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis, we study the problem of spin and charge separation in condensed matter. We focus primarily on Mott insulators at half-filling. It is known that one dimensional strongly correlated electronic systems display the phenomenon of spin and charge separation. We show that there exists a qualitatively different mechanism for the separation of spin and charge for two and higher dimensional strongly correlated electronic systems and that this mechanism is never available in one dimension.","The mechanism we found for spin and charge separation in two dimensional strongly correlated electronic systems is based on a picture of the electron as being a local bound state of two constituents, the slave spinon and slave holon. The slave spinon carries the electronic spin quantum number. The slave holon carries the electronic charge quantum number. The mechanism for spin and charge separation in this context is called deconfinement or the breaking of the bound state for the slave spinon and slave holon. The terminology of spinon and holon is also used to describe the separation of spin and charge in one dimensional strongly correlated electronic systems. However, these spinons and holons are unrelated to the slave spinons and slave holons as we demonstrate in this thesis.","We show that the condition that there be separation of spin and charge induced by the deconfinement of the slave holons and slave spinons severely constrains the nature of the ground state of the Mott insulator at half-filling. We characterize the magnetic properties of the ground state at half-filling which supports spin and charge separation upon doping. We compare this ground state, the short range resonating valence bond state (s-RVB), with other unconventional spin states.","Made available in DSpace on 2011-05-07T13:18:12Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9512493.pdf: 6740076 bytes, checksum: 57595d22d4bbe5b36fbc2954354291ad (MD5) Previous issue date: 1994","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:52:59Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:24:27-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["The problem of spin and charge separation in condensed matter"]}]}],"canonical_facts":{"dc:contributor":["Fradkin, Eduardo H."],"dc:creator":["Murdy, Christopher Marc"],"dc:date":["2011-05-07T13:18:12Z","10000-01-01","1994"],"dc:description":["In this thesis, we study the problem of spin and charge separation in condensed matter. We focus primarily on Mott insulators at half-filling. It is known that one dimensional strongly correlated electronic systems display the phenomenon of spin and charge separation. We show that there exists a qualitatively different mechanism for the separation of spin and charge for two and higher dimensional strongly correlated electronic systems and that this mechanism is never available in one dimension.","The mechanism we found for spin and charge separation in two dimensional strongly correlated electronic systems is based on a picture of the electron as being a local bound state of two constituents, the slave spinon and slave holon. The slave spinon carries the electronic spin quantum number. The slave holon carries the electronic charge quantum number. The mechanism for spin and charge separation in this context is called deconfinement or the breaking of the bound state for the slave spinon and slave holon. The terminology of spinon and holon is also used to describe the separation of spin and charge in one dimensional strongly correlated electronic systems. However, these spinons and holons are unrelated to the slave spinons and slave holons as we demonstrate in this thesis.","We show that the condition that there be separation of spin and charge induced by the deconfinement of the slave holons and slave spinons severely constrains the nature of the ground state of the Mott insulator at half-filling. We characterize the magnetic properties of the ground state at half-filling which supports spin and charge separation upon doping. We compare this ground state, the short range resonating valence bond state (s-RVB), with other unconventional spin states.","Made available in DSpace on 2011-05-07T13:18:12Z (GMT). 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