Two-Component Fractional Quantum Hall Effect in the Half-Filled Lowest Landau Level in an Asymmetric Wide Quantum Well

Abstract

We investigate theoretically the fractional quantum Hall effect at half-filling in the lowest Landau level observed in asymmetric wide quantum wells. The asymmetry can be achieved by a potential bias applied between the two sides of the well. Within exact-diagonalization calculations in the spherical geometry, we find that the incompressible state is described in terms of a two-component wave function. Its overlap with the ground state can be optimized with the help of a rotation in the space of the pseudospin, which mimics the lowest two electronic subbands.

6 pages, 6 figures; modified version contains discussion of energy gaps and results for another value of the magnetic field; version accepted for publication in Phys. Rev. B

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Cited by in corpus (9)

• Matrix Product State description of the Halperin States
• $\nu =1/2$ Fractional Quantum Hall Effect in Tilted Magnetic Fields
• Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels
• Theoretical phase diagram of two-component composite fermions in double layer graphene
• Origin of the $\nu =1/2$ fractional quantum Hall effect in wide quantum wells
• Regularizing 3D conformal field theories via anyons on the fuzzy sphere
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Phase diagram of $\nu =\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings
• Exotic Bilayer Crystals in a Strong Magnetic Field