From irrational to nonunitary: Haffnian and Haldane-Rezayi wave functions

M. Hermanns; N. Regnault; B. A. Bernevig; E. Ardonne

doi:10.1103/PhysRevB.83.241302

From irrational to nonunitary: Haffnian and Haldane-Rezayi wave functions

M. Hermanns
, N. Regnault
, B. A. Bernevig
, E. Ardonne

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

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 makes it possible to count the degeneracies of these states. The connection between these states might elucidate the underlying theory describing the "irrational" Haffnian state.

Original language	English (US)
Article number	241302
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	83
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevB.83.241302
State	Published - Jun 10 2011

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.83.241302

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title = "From irrational to nonunitary: Haffnian and Haldane-Rezayi wave functions",

abstract = "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 makes it possible 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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AB - 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 makes it possible 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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From irrational to nonunitary: Haffnian and Haldane-Rezayi wave functions

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