From Irrational to Non-Unitary: on the Haffnian and Haldane-Rezayi wave functions

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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4+ pages, published version

Scientific paper

10.1103/PhysRevB.83.241302

We study the Haffnian and Haldane-Rezayi quantum Hall wave functions and their quasihole excitations by means of their `root configurations', and point out a close connection between these seemingly different states. For both states, we formulate a `generalized Pauli-principle', which allows to count the degeneracies of these states. The connection between these states might elucidate the underlying theory describing the `irrational' Haffnian state.

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