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Numerical studies of the Pfaffian model of the nu=5/2 fractional quantum Hall effect

The Pfaffian model has been proposed for the fractional quantum Hall effect (FQHE) at nu=5/2. We examine it for the quasihole excitations by comparison with exact diagonalization results. Specifically, we consider the structure of the low-energy spectrum, accuracy of the microscopic wave functions, particle-hole symmetry, splitting of the degeneracies, and off-diagonal long range order. We also review how the 5/2 FQHE can be understood without appealing to the Pfaffian model. Implications for nonabelian braiding statistics will be mentioned.

preprint2007arXivOpen access
Csaba TokeNicolas RegnaultJainendra K. Jain
cond-mat.mes-hallcond-mat.str-el
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Csaba TokeNicolas RegnaultJainendra K. Jain

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