The Haldane-Rezayi Quantum Hall State and Magnetic Flux

Abstract

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 $(\mathbb{Z}+1/2){\varphi }_0$ with ${\varphi }_0=hc/e$. 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.

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

References in corpus (3)

• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Magnetic Induction of d + i d Order in High-Tc Superconductors
• Pairing Effects in the Edge of Paired Quantum Hall States

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• Decomposition of fractional quantum Hall states: New symmetries and approximations
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• Spin-singlet hierarchy in the fractional quantum Hall effect
• Field theory of spin-singlet quantum Hall states
• Pairing symmetry transitions in the even-denominator FQHE system