{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23920"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23920","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Phase dynamics and magnetic field response of proximity-coupled superconductor arrays","abstract":"\"We have fabricated and measured electrical transport properties of arrays of proximity-coupled superconductor islands as a function of temperature, magnetic field, and bias current for several geometries. The weakly-coupled arrays, a physical realization of the frustrated XYmodel, show interesting behavior relating to phase coherence, fluctuations, and dynamics. Our samples display a broad transition to zero-resistance at a field-dependent temperature Te(H). Present theories explain the transition at Te (in zero field) as an unbinding of pairs of opposite-polarity vortices --topological excitations in the phase of the order-parameter. Above Te the free vortices give rise to a d.c. voltage --and therefore resistance --in the presence of a current bias. The theoretical picture is less clear in the presence of. a magnetic field, where a background lattice of vortices adds frustration and the possibility of additional types of excitations. We observe minima (subminima) in the voltage V(H) at those fields producing a flux lattice (superlattice) approximately commensurate with the array. Reduction of the bias current produces additional such structure indicating an increase in the effective range of phase coherence. Further reduction of the bias gives rise to a seemingly random but reproducible V-vs.-H \"\"fingerprint\"\" of disorder in the array. Measurements on two-unit-cell periodic \"\"checkerboard\"\" and quasiperiodic Penrose arrays distinguish structure arising due to the irrational cell area ratios from that due to iii fluxoid quantization over larger areas. The power-law dependence of the current-voltage characteristics as a function of temperature for the Penrose is generally consistent with the predictions for a KosterlitzThouless transition at zero applied field, but show more complex behavior at finite fields. In square arrays we find the voltage noise follows V(H) at low bias currents, but shows peaks at the voltage minima at higher bias levels, suggesting current-induced unbinding of Ising-domainwall excitations separating regions of different chirality at commensurate applied fields. Computer simulations of the time-stepped Resistively-Shunted-Junction equations for small arrays are discussed.\"","abstract_html":""We have fabricated and measured electrical transport properties of arrays of proximity-coupled superconductor islands as a function of temperature, magnetic field, and bias current for several geometries. The weakly-coupled arrays, a physical realization of the frustrated XYmodel, show interesting behavior relating to phase coherence, fluctuations, and dynamics. Our samples display a broad transition to zero-resistance at a field-dependent temperature Te(H). Present theories explain the transition at Te (in zero field) as an unbinding of pairs of opposite-polarity vortices --topological excitations in the phase of the order-parameter. Above Te the free vortices give rise to a d.c. voltage --and therefore resistance --in the presence of a current bias. The theoretical picture is less clear in the presence of. a magnetic field, where a background lattice of vortices adds frustration and the possibility of additional types of excitations. We observe minima (subminima) in the voltage V(H) at those fields producing a flux lattice (superlattice) approximately commensurate with the array. Reduction of the bias current produces additional such structure indicating an increase in the effective range of phase coherence. Further reduction of the bias gives rise to a seemingly random but reproducible V-vs.-H ""fingerprint"" of disorder in the array. Measurements on two-unit-cell periodic ""checkerboard"" and quasiperiodic Penrose arrays distinguish structure arising due to the irrational cell area ratios from that due to iii fluxoid quantization over larger areas. The power-law dependence of the current-voltage characteristics as a function of temperature for the Penrose is generally consistent with the predictions for a KosterlitzThouless transition at zero applied field, but show more complex behavior at finite fields. In square arrays we find the voltage noise follows V(H) at low bias currents, but shows peaks at the voltage minima at higher bias levels, suggesting current-induced unbinding of Ising-domainwall excitations separating regions of different chirality at commensurate applied fields. Computer simulations of the time-stepped Resistively-Shunted-Junction equations for small arrays are discussed."","abstract_has_math":false,"creators":["Springer, Kendall Norris"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Van Harlingen, Dale J."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-17T16:31:28Z","date_published":"2011-05-17T16:31:28Z","updated_at":"2026-07-22T22:25:22Z","subjects":["phase dynamics","magnetic field response","proximity-coupled superconductor arrays","electrical transport properties"],"languages":["en"],"rights":["1988 Kendall Norris Springer"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["3476311"],"render_values":[{"text":"3476311","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23920","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Van Harlingen, Dale J."]},{"key":"dc:creator","label":"Author","values":["Springer, Kendall Norris"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-17T16:31:28Z","10000-01-01","1988"]},{"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":["phase dynamics","magnetic field response","proximity-coupled superconductor arrays","electrical transport properties"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1988 Kendall Norris Springer"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["3476311","http://hdl.handle.net/2142/23920"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"We have fabricated and measured electrical transport properties of arrays of proximity-coupled superconductor islands as a function of temperature, magnetic field, and bias current for several geometries. The weakly-coupled arrays, a physical realization of the frustrated XYmodel, show interesting behavior relating to phase coherence, fluctuations, and dynamics. Our samples display a broad transition to zero-resistance at a field-dependent temperature Te(H). Present theories explain the transition at Te (in zero field) as an unbinding of pairs of opposite-polarity vortices --topological excitations in the phase of the order-parameter. Above Te the free vortices give rise to a d.c. voltage --and therefore resistance --in the presence of a current bias. The theoretical picture is less clear in the presence of. a magnetic field, where a background lattice of vortices adds frustration and the possibility of additional types of excitations. We observe minima (subminima) in the voltage V(H) at those fields producing a flux lattice (superlattice) approximately commensurate with the array. Reduction of the bias current produces additional such structure indicating an increase in the effective range of phase coherence. Further reduction of the bias gives rise to a seemingly random but reproducible V-vs.-H \"\"fingerprint\"\" of disorder in the array. Measurements on two-unit-cell periodic \"\"checkerboard\"\" and quasiperiodic Penrose arrays distinguish structure arising due to the irrational cell area ratios from that due to iii fluxoid quantization over larger areas. The power-law dependence of the current-voltage characteristics as a function of temperature for the Penrose is generally consistent with the predictions for a KosterlitzThouless transition at zero applied field, but show more complex behavior at finite fields. In square arrays we find the voltage noise follows V(H) at low bias currents, but shows peaks at the voltage minima at higher bias levels, suggesting current-induced unbinding of Ising-domainwall excitations separating regions of different chirality at commensurate applied fields. Computer simulations of the time-stepped Resistively-Shunted-Junction equations for small arrays are discussed.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-17T16:31:28Z No. of bitstreams: 1 1988_springer.pdf: 6293219 bytes, checksum: a8860de3627a274e0e3535fc4673e6ac (MD5)","Made available in DSpace on 2011-05-17T16:31:28Z (GMT). No. of bitstreams: 1 1988_springer.pdf: 6293219 bytes, checksum: a8860de3627a274e0e3535fc4673e6ac (MD5) Previous issue date: 1988","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-17T16:31:28Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:15:15-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Phase dynamics and magnetic field response of proximity-coupled superconductor arrays"]}]}],"canonical_facts":{"dc:contributor":["Van Harlingen, Dale J."],"dc:creator":["Springer, Kendall Norris"],"dc:date":["2011-05-17T16:31:28Z","10000-01-01","1988"],"dc:description":["\"We have fabricated and measured electrical transport properties of arrays of proximity-coupled superconductor islands as a function of temperature, magnetic field, and bias current for several geometries. The weakly-coupled arrays, a physical realization of the frustrated XYmodel, show interesting behavior relating to phase coherence, fluctuations, and dynamics. Our samples display a broad transition to zero-resistance at a field-dependent temperature Te(H). Present theories explain the transition at Te (in zero field) as an unbinding of pairs of opposite-polarity vortices --topological excitations in the phase of the order-parameter. Above Te the free vortices give rise to a d.c. voltage --and therefore resistance --in the presence of a current bias. The theoretical picture is less clear in the presence of. a magnetic field, where a background lattice of vortices adds frustration and the possibility of additional types of excitations. We observe minima (subminima) in the voltage V(H) at those fields producing a flux lattice (superlattice) approximately commensurate with the array. Reduction of the bias current produces additional such structure indicating an increase in the effective range of phase coherence. Further reduction of the bias gives rise to a seemingly random but reproducible V-vs.-H \"\"fingerprint\"\" of disorder in the array. Measurements on two-unit-cell periodic \"\"checkerboard\"\" and quasiperiodic Penrose arrays distinguish structure arising due to the irrational cell area ratios from that due to iii fluxoid quantization over larger areas. The power-law dependence of the current-voltage characteristics as a function of temperature for the Penrose is generally consistent with the predictions for a KosterlitzThouless transition at zero applied field, but show more complex behavior at finite fields. In square arrays we find the voltage noise follows V(H) at low bias currents, but shows peaks at the voltage minima at higher bias levels, suggesting current-induced unbinding of Ising-domainwall excitations separating regions of different chirality at commensurate applied fields. Computer simulations of the time-stepped Resistively-Shunted-Junction equations for small arrays are discussed.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-17T16:31:28Z No. of bitstreams: 1 1988_springer.pdf: 6293219 bytes, checksum: a8860de3627a274e0e3535fc4673e6ac (MD5)","Made available in DSpace on 2011-05-17T16:31:28Z (GMT). No. of bitstreams: 1 1988_springer.pdf: 6293219 bytes, checksum: a8860de3627a274e0e3535fc4673e6ac (MD5) Previous issue date: 1988","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-17T16:31:28Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:15:15-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["3476311","http://hdl.handle.net/2142/23920"],"dc:language":["en"],"dc:rights":["1988 Kendall Norris Springer"],"dc:subject":["phase dynamics","magnetic field response","proximity-coupled superconductor arrays","electrical transport properties"],"dc:title":["Phase dynamics and magnetic field response of proximity-coupled superconductor arrays"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:22Z"}