The Haldane-Rezayi Quantum Hall State and Magnetic Flux

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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RevTex, 5 pages, 2 figures. v2:minor corrections. v4: published version. Discussion on the thermodynamic limit added

Scientific paper

10.1103/PhysRevLett.82.4902

We consider the general abelian background configurations for the Haldane-Rezayi quantum Hall state. We determine the stable configurations to be the ones with the spontaneous flux of $(\Z+1/2) \phi_0$ with $\phi_0 = hc/e$. This gives the physical mechanism by which the edge theory of the state becomes identical to the one for the 331 state. It also provides a new experimental consequence which can be tested in the enigmatic $\nu=5/2$ plateau in a single layer system.

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