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Stone, Michael Chung, Suk Bum 2015-09-28T21:55:43Z 2015-09-28T21:55:43Z 10000-01-01 2008 2008 Since fractional statistics of Laughlin states is reflected in its topological degeneracy, it is natural to expect non-Abelian statistics to have some effect on topological degeneracy. To study the topological degeneracy of the Moore-Read nu = 5/2 quantum Hall state on a torus, we construct the wave functions of this state in the presence of two quasiholes [6]. These explicit wave functions allow us to compute the monodromy matrix that describes the effect of quasihole motion on the space of degenerate ground states. Our calculation provides a conformal field theory explanation of why certain transitions between ground states are forbidden. It is because taking a quasihole around a generator of the torus can change the fusion channel of the two quasiholes, and this requires a change of parity of the electron number in sonic of the ground states. Made available in DSpace on 2015-09-28T21:55:43Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3337740.pdf: 1736712 bytes, checksum: 36577f224daeb031e58183dfcfd4747b (MD5) Previous issue date: 2008 Embargo set by: Seth Robbins for item 89136 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 95 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008. http://hdl.handle.net/2142/87855 (MiAaPQ)AAI3337740 eng Physics, Condensed Matter Various Manifestation of Non -Abelian Statistics in Condensed Matter Systems text University of Illinois at Urbana-Champaign Dissertation Ph.D.