Spin-singlet hierarchy in the fractional quantum Hall effect

Abstract

We show that the so-called permanent quantum Hall states are formed by the integer quantum Hall effects on the Haldane-Rezayi quantum Hall state. Novel conformal field theory description along with this picture is deduced. The odd denominator plateaux observed around $\nu =5/2$ are the permanent states if the $\nu =5/2$ plateau is the Haldane-Rezayi state. We point out that there is no such hierarchy on other candidate states for $\nu =5/2$. We propose experiments to test our prediction.

RevTex,4 pages, v2:typo,one reference 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
• Singular Pair Breaking in the Composite Fermi Liquid Description of the Half-Filled Landau Level
• The Haldane-Rezayi Quantum Hall State and Magnetic Flux

Cited by in corpus (4)

• Experimental Evidence for a Spin-Polarized Ground State in the ν=5/2 Fractional Quantum Hall Effect
• Operator Product Expansion in Logarithmic Conformal Field Theory
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Field theory of spin-singlet quantum Hall states