Spin-singlet hierarchy in the fractional quantum Hall effect

Preprint English OPEN
Ino, Kazusumi (1999)
  • Related identifiers: doi: 10.1103/PhysRevLett.83.3526
  • Subject: Condensed Matter - Mesoscale and Nanoscale Physics | High Energy Physics - Theory
    arxiv: Condensed Matter::Mesoscopic Systems and Quantum Hall Effect

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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