Energy Gap and Spin Polarization in the 5/2 Fractional Quantum Hall Effect

Abstract

We consider the issue of the appropriate underlying wavefunction describing the enigmatic 5/2 fractional quantum Hall effect (FQHE), the only even denominator FQHE unambiguously observed in a single layer two dimensional (2D) electron system. Using experimental transport data and theoretical analysis, we argue that the possibility of the experimental 5/2 FQH state being not fully spin-polarized cannot be ruled out. We also establish that the parallel field-induced destruction of the 5/2 FQHE arises primarily from the enhancement of effective disorder by the parallel field with the Zeeman energy playing an important quantitative role.

4 pages, 2 figures

References in corpus (12)

• 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
• Fractional Quantum Hall Effect in the Second Landau Level
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field
• Spin Transition in the Half-Filled Landau Level
• Filling factor dependence of the fractional quantum Hall effect gap
• Wigner Crystallization in a Quasi-3D Electronic System
• Transport gap in a nu=1/3 quantum Hall system: a probe for skyrmions

Cited by in corpus (10)

• Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Rapid collapse of spin waves in non-uniform phases of the second Landau level
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• Practical learning method for multi-scale entangled states
• Localized quasiholes and the Majorana fermion in fractional quantum Hall state at nu=5/2 via direct diagonalization
• Variational Monte Carlo study of spin polarization stability of fractional quantum Hall states against realistic effects in half-filled Landau levels
• Linear non-hysteretic gating of a very high density 2DEG in an undoped metal-semiconductor-metal sandwich structure
• Simultaneous Measurement of Resistively and Optically Detected Nuclear Magnetic Resonance in the $\nu =2/3$ Fractional Quantum Hall Regime
• Competing quantum Hall phases in the second Landau level in low density limit