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Non-Abelian quantized Hall states of electrons at filling factors 12/5 and 13/5 in the first excited Landau level

E. H. Rezayi·N. Read
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Abstract

We present results of extensive numerical calculations on the ground state of electrons in the first excited (n=1) Landau level with Coulomb interactions, and including non-zero thickness effects, for filling factors 12/5 and 13/5 in the torus geometry. In a region that includes these experimentally-relevant values, we find that the energy spectrum and the overlaps with the trial states support the previous hypothesis that the system is in the non-Abelian k = 3 liquid phase we introduced in a previous paper.

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E. H. Rezayi, N. Read. 2006-08-16. Non-Abelian quantized Hall states of electrons at filling factors 12/5 and 13/5 in the first excited Landau level. https://doi.org/10.1103/physrevb.79.075306

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