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Fradkin, Eduardo H. Papanikolaou, Stefanos 2015-09-25T20:03:10Z 2015-09-25T20:03:10Z 10000-01-01 2008 2008 The main focus of this dissertation is the interplay between topology and order in frustrated quantum spin systems. We identify the relevant effects in the study of novel phases of matter, as they emerge in tractable quantum spin models, and we make several original contributions. In this dissertation, (a) we study quantum dimer models with frustrating interactions and holes, identifying possible phases of matter and the nature of the phase transitions between them, (b) we identify a possible mechanism of how incommensurate ordering can emerge in strongly correlated systems and show explicitly how it works in toy models of quantum frustration, such as quantum dimer models, (c) we study the quantum entanglement entropy of different topological phases in exactly solvable quantum spin models and we show explicitly how a finite correlation length affects different topological observables, and (d) we study the nature of the Mott insulator to metal transition at finite temperatures and we show that it generally belongs to the Ising universality class. Made available in DSpace on 2015-09-25T20:03:10Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3337880.pdf: 3211716 bytes, checksum: 02fce6fa32e093fcab4f198a80abb812 (MD5) Previous issue date: 2008 Embargo set by: Seth Robbins for item 81866 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 192 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008. http://hdl.handle.net/2142/80584 (MiAaPQ)AAI3337880 eng Physics, Theory Studies of Topology and Order in Frustrated Spin Systems text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.