Half-filled 2D bilayers in a strong magnetic field: Revisiting the $ν=1/2$ fractional quantum Hall effect

Details Half-filled 2D bilayers in a strong magnetic field: Revisiting the $ν=1/2$ fractional quantum Hall effect Half-filled 2D bilayers in a strong magnetic field: Revisiting the $ν=1/2$ fractional quantum Hall effect

2009-10-22

arxiv.org/abs/0910.4385v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures

Scientific paper

We examine the quantum phase diagram of the fractional quantum Hall effect in the lowest Landau level in half-filled bilayer structures as a function of tunneling strength and layer separation. Using numerical exact diagonalization we investigate the important question of whether this system supports a fractional quantum Hall effect described by the non-Abelian Moore-Read Pfaffian state in the strong tunneling regime. We find that, although it is in principle possible, it is unlikely that the non-Abelian FQHE exists in the lowest Landau level. We establish that all so far observed FQHE states in half-filled lowest Landau level bilayers are most likely described by the Abelian Halperin 331 state.

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