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Pines, David Thelen, Dean Michael 2011-05-07T13:01:36Z 2011-05-07T13:01:36Z 10000-01-01 1994 The author reports on a study of the magnetic properties of the cuprate superconductors in both the normal and superconducting states. The magnetic properties are studied by making comparison to the results of nuclear magnetic resonance experiments. The author gives a simplification of the method used to calculate the nuclear magnetic resonance spin-echo decay time for these materials. Experiments on the $YBa\sb2Cu\sb3O\sb7$, $YBa\sb2Cu\sb3O\sb{6.63}$, $YBa\sb2Cu\sb4O\sb8$, $Y\sb{1-x}Pr\sb{x}Ba\sb2Cu\sb3O\sb7$, and $La\sb{1.85}Sr\sb{0.15}CuO\sb4$ materials are analyzed. The compatibility of an electron spin susceptibility that has correlations incommensurate with the lattice as measured in neutron scattering experiments is found to be in conflict with the measured nuclear magnetic relaxation rates. The author reports on calculations of the electron spin susceptibility for the superconducting state of $YBa\sb2Cu\sb3O\sb7$ using a band structure with nearest and next nearest neighbor hopping, a momentum dependent spin-spin interaction and a superconducting gap with $d\sb{x\sp{2}-y\sp{2}}$ symmetry. The calculated nuclear magnetic relaxation rates and Knight shift agree favorably with experiment. This work provides further evidence for a $d\sb{x\sp{2}-y\sp{2}}$ pairing state and demonstrates that antiferromagnetic correlations persist in the superconducting state. Made available in DSpace on 2011-05-07T13:01:36Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9416442.pdf: 3328077 bytes, checksum: 11848ffd7a61a37846a8e577eaaf72eb (MD5) Previous issue date: 1994 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:49:11Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:22:21-05:00 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 AAI9416442 (UMI)AAI9416442 http://hdl.handle.net/2142/21205 eng Copyright 1994 Thelen, Dean Michael Physics, Condensed Matter The magnetic properties of the cuprate superconductors text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.