Fractional Quantum Hall Effect at High Fillings in a Two-subband Electron System

Abstract

Magneto-transport measurements in a clean two-dimensional electron system confined to a wide GaAs quantum well reveal that, when the electrons occupy two electric subbands, the sequences of fractional quantum Hall states observed at high fillings ($\nu >2$) are distinctly different from those of a single-subband system. Notably, when the Fermi energy lies in the ground state Landau level of either of the subbands, no quantum Hall states are seen at the even-denominator $\nu$ = 5/2 and 7/2 fillings; instead the observed states are at $\nu =(i+p/(2p\pm 1))$ where $i$ = 2, 3, and $p$ = 1, 2, 3, and include several new states at $\nu$ = 13/5, 17/5, 18/5, and 25/7.

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• Anomalous robustness of the 5/2 fractional quantum Hall state near a sharp phase boundary
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• Non-Abelian phases in two-component $\nu =2/3$ fractional quantum Hall states: Emergence of Fibonacci anyons
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