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Spin-singlet hierarchy in the fractional quantum Hall effect

Kazusumi Ino
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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 $ν=5/2$ are the permanent states if the $ν=5/2$ plateau is the Haldane-Rezayi state. We point out that there is no such hierarchy on other candidate states for $ν=5/2$. We propose experiments to test our prediction.

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Kazusumi Ino. 1999-06-21. Spin-singlet hierarchy in the fractional quantum Hall effect. https://doi.org/10.1103/physrevlett.83.3526

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