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Title:Dual mappings and phase transitions in a short-range random valence bond theory
Author(s):Sienko, Tanya Christine
Doctoral Committee Chair(s):Kogut, John B.
Department / Program:Physics
Discipline:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Physics, Condensed Matter
Physics, Elementary Particles and High Energy
Abstract:This thesis describes calculations done in 3-D Short-Range Random Valence Bond theory. After reviewing the background of SRRVB and how it can be derived, I cover the technique of dual mappings, with a particular emphasis on the Compact U(1) model, the monopole loop gas picture, and the confinement/deconfinement phase transition. The argument is then made that an equivalent phase transition may exist in the 3-D SRRVB, based on its mapping onto a similar monopole loop gas picture, albeit complicated by the presence of Berry phases. Building on results from the 2-D model, I also argue for the existence of a second phase transition; this being the melting from a Valence-Bond Crystal to a Quantum Spin Liquid. To demonstrate the existence of one or both of these phase transitions, I have proformed numerical simulations using Monte Carlo. The confinement/deconfinement phase transition is tracked using both hysteresis and Wilson loop measurements, starting from the Compact U(1) model and slowly modifying the background and the anisotropy. The VBC/QSL phase transition is investigated by direct modeling of the J-V version of the SRRVB and measuring various correlation functions.
Issue Date:1995
Type:Text
Language:English
URI:http://hdl.handle.net/2142/22005
Rights Information:Copyright 1995 Sienko, Tanya Christine
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9543722
OCLC Identifier:(UMI)AAI9543722


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