Explicit monodromy of Moore-Read wave functions on a torus
ORAL
Abstract
We construct the wave functions for the Moore-Read $\nu = 5/2$ quantum Hall state on a torus in the presence of two quasiholes. 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. The result agrees with that discussed recently by Oshikawa {\it et al.} (cond-mat/067743) 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 some of the ground states.
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Authors
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Suk Bum Chung
University of Illinois at Urbana-Champaign
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Michael Stone
University of Illinois at Urbana-Champaign