Spin-singlet hierarchy in the fractional quantum Hall effect

Details Spin-singlet hierarchy in the fractional quantum Hall effect Spin-singlet hierarchy in the fractional quantum Hall effect

1999-06-10

arxiv.org/abs/cond-mat/9906147v2

Phys.Rev.Lett. 83 (1999) 3526-3529; Erratum-ibid. 84 (2000) 201

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTex,4 pages, v2:typo,one reference added

Scientific paper

10.1103/PhysRevLett.83.3526

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.

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