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Stone, Michael Leggett, Anthony Bezryadin, Alexey Selen, Mats A. Roberts, Kevin J 2015-07-22T22:16:32Z 2015-07-22T22:16:32Z 2015-05 2015-04-09 This thesis contains detailed numerical studies of the superconducting state of Sr2RuO4. This material's magnetic response displays hc=4e periodicity in multiply connected samples, a striking departure from hc=2e periodicity of the Little-Parks effect. One likely explanation for this is that, instead of the Cooper pairs existing in a spin-singlet state as in most conventional superconductors, the pairs form in an l = 1, or p-wave, angular momentum state. The additional spin degree of freedom offered by this angular momentum state allows the formation of half-quantum vortices possessing half of the usual flux quantum. In Chapter 1, I briefly review p-wave superconductivity and see how it supports half-quantum vortices. In Chapter 2, I review the conventional Ginzburg- Landau formalism for treating superconductivity. We then extend this formalism to treat p-wave superconductivity. In Chapter 3, I discuss the numerical methods used to solve the coupled Ginzburg-Landau-Maxwell equations for the model. In Chapter 4, I present numerical solutions of the Ginzburg-Landau equations for the proposed model in realistic geometries and show that the data can be simulated using physically reasonable parameters. I also analyze an important alternative explanation to the presence of half-flux states involving integer vortices penetrating the walls of the sample. In Chapters 6 and 7, I present analyses of measurements of magnetoresistance oscillations in Sr2RuO4 including evidence of phase-shift due to Abrikosov vortices. Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2015-07-22 without embargo terms The student, Kevin Roberts, accepted the attached license on 2015-04-07 at 07:45. The student, Kevin Roberts, submitted this Dissertation for approval on 2015-04-07 at 07:55. This Dissertation was approved for publication on 2015-04-09 at 11:03. DSpace SAF Submission Ingestion Package generated from Vireo submission #7798 on 2015-07-22 at 10:31:32 Made available in DSpace on 2015-07-22T22:16:32Z (GMT). No. of bitstreams: 2 ROBERTS-DISSERTATION-2015.pdf: 5085301 bytes, checksum: a8760e7f739e36ac930ddec156a8c4d8 (MD5) LICENSE.txt: 4210 bytes, checksum: a1870ec677b2589dca31bca282252142 (MD5) Previous issue date: 2015-04-09 application/pdf http://hdl.handle.net/2142/78355 en Copyright 2015 Kevin Roberts physics superconductivity Numerical study of p-wave superconductivity in Sr2RuO4 text text 2015-5 Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.