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Phillips, Philip W. Hughes, Taylor L. Cooper, S. L Faulkner, Thomas Limtragool, Kridsanaphong 2018-09-04T20:27:10Z 2018-09-04T20:27:10Z 2018-04-17 2018-05 Many properties of strongly correlated materials behave differently from those obeying the standard theory of metals. Explaining such anomalous properties may require one to consider a non-traditional model. In this dissertation, we construct several phenomenological models based on the notions of unparticles and nonlocalities to explain some of the exotic properties of the high temperature cuprate superconductors. The properties of the cuprates that we investigate include the fractional power-law in optical conductivity, the power-law liquid form of the scattering life-time, the violation of the conductivity sum rule, and the appearance of the anomalous dimension for the current. Our results suggest that the correct description of the low-energy theory of the normal state of the cuprates could involve unparticles and nonlocal actions. Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-08-31 without embargo terms The student, Kridsanaphong Limtragool, accepted the attached license on 2018-04-17 at 10:54. The student, Kridsanaphong Limtragool, submitted this Dissertation for approval on 2018-04-17 at 10:58. This Dissertation was approved for publication on 2018-04-17 at 11:57. DSpace SAF Submission Ingestion Package generated from Vireo submission #12277 on 2018-08-31 at 17:12:51 Made available in DSpace on 2018-09-04T20:27:10Z (GMT). No. of bitstreams: 3 LIMTRAGOOL-DISSERTATION-2018.pdf: 3746417 bytes, checksum: 9ada8da50674ec64f5bfeef0905b7e7c (MD5) LICENSE.txt: 4221 bytes, checksum: 9b1f3b2c5ae869834458324c0b6f2395 (MD5) PROQUEST_LICENSE.txt: 4567 bytes, checksum: 3c17b84b4551e95e10406ed63967a32b (MD5) Previous issue date: 2018-04-17 application/pdf http://hdl.handle.net/2142/100989 en Copyright 2018 by Kridsanaphong Limtragool High temperature cuprate superconductors, Non-Fermi liquids, Unparticles, Nonlocalities Beyond particles and localities in quantum matters text text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.