Subband Engineering Even-Denominator Quantum Hall States

Abstract

Proposed even-denominator fractional quantum Hall effect (FQHE) states suggest the possibility of excitations with non-Abelian braid statistics. Recent experiments on wide square quantum wells observe even-denominator FQHE even under electrostatic tilt. We theoretically analyze these structures and develop a procedure to accurately test proposed quantum Hall wavefunctions. We find that tilted wells favor partial subband polarization to yield Abelian even-denominator states. Our results show that tilting quantum wells effectively engineers different interaction potentials allowing exploration of a wide variety of even-denominator states.

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Cited by in corpus (9)

• Phase Diagrams for the $\nu$ = 1/2 Fractional Quantum Hall Effect in Electron Systems Confined to Symmetric, Wide GaAs Quantum Wells
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• Variational Monte Carlo study of spin polarization stability of fractional quantum Hall states against realistic effects in half-filled Landau levels
• Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels
• $\nu =1/2$ Fractional Quantum Hall Effect in Tilted Magnetic Fields
• Origin of the $\nu =1/2$ fractional quantum Hall effect in wide quantum wells
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Two-Component Fractional Quantum Hall Effect in the Half-Filled Lowest Landau Level in an Asymmetric Wide Quantum Well
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$