{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/30856"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/30856","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Luttinger Liquid Behavior in Low-Dimensional Systems","abstract":"Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Rachelle Ramer (rramer2@illinois.edu) on 2012-05-17T17:43:36Z Item is restricted indefinitely.","abstract_html":"Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Rachelle Ramer (rramer2@illinois.edu) on 2012-05-17T17:43:36Z Item is restricted indefinitely.","abstract_has_math":false,"creators":["Sandler, Nancy Patricia"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Fradkin, Eduardo H.","Stine, M.","Klein, Miles V."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-05-17T17:43:36Z","date_published":"2012-05-17T17:43:36Z","updated_at":"2026-07-22T22:25:29Z","subjects":["Luttinger liquids (LL)","low-dimensional electronic systems","quantum wires","fractional quantum Hall effect"],"languages":["en"],"rights":["©1998 Sandler"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["Q. 537.6 Tb8s","FILM 1998 Sa563"],"render_values":[{"text":"Q. 537.6 Tb8s","href":null,"code":true},{"text":"FILM 1998 Sa563","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/30856","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Fradkin, Eduardo H.","Stine, M.","Klein, Miles V."]},{"key":"dc:creator","label":"Author","values":["Sandler, Nancy Patricia"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-05-17T17:43:36Z","10000-01-01","1998-08"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","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."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Luttinger liquids (LL)","low-dimensional electronic systems","quantum wires","fractional quantum Hall effect"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["©1998 Sandler"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["Q. 537.6 Tb8s","FILM 1998 Sa563","http://hdl.handle.net/2142/30856"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Rachelle Ramer (rramer2@illinois.edu) on 2012-05-17T17:43:36Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:10:52-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: thesis/dissertation","thesis/dissertation","U of I Only","The purpose of this thesis is the study of different low-dimensional systems displaying the physical properties of Luttinger liquids (LL). In recent years, the LL model has been succesfully applied to understand the transport properties, and recently noise measurements, of low-dimensional electronic systems. In this thesis, I focus on quantum wires (QW) and two-dimensional systems exhibiting the fractional quantum Hall effect (FQHE) as two different examples of systems showing Luttinger liquid behavior. In the case of QW, I analyze the effect of the dimensionality crossover on the finite temperature conductance in weakly disordered quantum wires. I show that although the quasi-one-dimensional QW exhibits a typical Luttinger liquid behavior for a small number of channels in the wire, the well-established Fermi liquid picture sets in when the number of channels increases. As another example of LL behavior, I study junctions between fractional quantum Hall (FQH) systems with different filling fractions. These junctions display a rich and interesting array of new physics. For example, I show that, by analyzing the scattering processes at the junction site, processes analogous to Andreev reflection present in superconductor/normal metal junctions are also present in the FQH junctions. I also analyze the noise spectrum of FQH junctions, and show that the scale of the noise spectrum is determined by the conductance of the junction. Furthermore, I discuss the implications of these results on the interpretation of recent experiments in terms of quasiparticles with fractional charge. Finally, I introduce the concept of generalized noise Wilson ratios as universal quotients between noise amplitudes in the thermal and shot noise regimes and discuss their experimental consequences.","Submitted by Rachelle Ramer (rramer2@illinois.edu) on 2012-05-17T17:43:36Z No. of bitstreams: 1 1998_sandler.pdf: 4307521 bytes, checksum: b06938232fd11f608af60c3e35c5ab7d (MD5)","Made available in DSpace on 2012-05-17T17:43:36Z (GMT). No. of bitstreams: 1 1998_sandler.pdf: 4307521 bytes, checksum: b06938232fd11f608af60c3e35c5ab7d (MD5) Previous issue date: 1998-08"]},{"key":"dc:title","label":"Title","values":["Luttinger Liquid Behavior in Low-Dimensional Systems"]}]}],"canonical_facts":{"dc:contributor":["Fradkin, Eduardo H.","Stine, M.","Klein, Miles V."],"dc:creator":["Sandler, Nancy Patricia"],"dc:date":["2012-05-17T17:43:36Z","10000-01-01","1998-08"],"dc:description":["Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Rachelle Ramer (rramer2@illinois.edu) on 2012-05-17T17:43:36Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:10:52-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: thesis/dissertation","thesis/dissertation","U of I Only","The purpose of this thesis is the study of different low-dimensional systems displaying the physical properties of Luttinger liquids (LL). In recent years, the LL model has been succesfully applied to understand the transport properties, and recently noise measurements, of low-dimensional electronic systems. In this thesis, I focus on quantum wires (QW) and two-dimensional systems exhibiting the fractional quantum Hall effect (FQHE) as two different examples of systems showing Luttinger liquid behavior. In the case of QW, I analyze the effect of the dimensionality crossover on the finite temperature conductance in weakly disordered quantum wires. I show that although the quasi-one-dimensional QW exhibits a typical Luttinger liquid behavior for a small number of channels in the wire, the well-established Fermi liquid picture sets in when the number of channels increases. As another example of LL behavior, I study junctions between fractional quantum Hall (FQH) systems with different filling fractions. These junctions display a rich and interesting array of new physics. For example, I show that, by analyzing the scattering processes at the junction site, processes analogous to Andreev reflection present in superconductor/normal metal junctions are also present in the FQH junctions. I also analyze the noise spectrum of FQH junctions, and show that the scale of the noise spectrum is determined by the conductance of the junction. Furthermore, I discuss the implications of these results on the interpretation of recent experiments in terms of quasiparticles with fractional charge. Finally, I introduce the concept of generalized noise Wilson ratios as universal quotients between noise amplitudes in the thermal and shot noise regimes and discuss their experimental consequences.","Submitted by Rachelle Ramer (rramer2@illinois.edu) on 2012-05-17T17:43:36Z No. of bitstreams: 1 1998_sandler.pdf: 4307521 bytes, checksum: b06938232fd11f608af60c3e35c5ab7d (MD5)","Made available in DSpace on 2012-05-17T17:43:36Z (GMT). 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