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

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

2006-08-16

arxiv.org/abs/cond-mat/0608346v1

Phys. Rev. B 79, 075306 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages (Revtex4), 7 figures

Scientific paper

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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