Subband Engineering Even-Denominator Quantum Hall States
arXiv:1004.1636 · doi:10.1103/PhysRevB.82.121304
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.
References in corpus (8)
- Non-Abelian Anyons and Topological Quantum Computation
- Experimental studies of the fractional quantum Hall effect in the first excited Landau level
- Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
- Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
- Observation of a Fractional Quantum Hall State at in a Wide GaAs Quantum Well
- Quantum Hall Phase Diagram of Half-filled Bilayers in the Lowest and the Second Orbital Landau Levels: Abelian versus Non-Abelian Incompressible Fractional Quantum Hall States
- Interaction-tuned compressible-to-incompressible phase transitions in the quantum Hall systems
- Fractional quantum Hall state at ν=1/4 in a wide quantum well