Landau level mixing in the nu=5/2 fractional quantum Hall state

Abstract

The nu=5/2 fractional quantum Hall state is studied numerically, directly including the effects of electron scattering between neighboring Landau levels. Significant reduction of the excitation gap caused by the LL mixing explains the discrepancy between earlier calculations and experiments. On the other hand, LL mixing also considerably reduces overlaps with the Moore--Read wavefunction, raising a question of the actual realization of nonabelian quasiparticles in present experiments.

4 pages, 4 figures

References in corpus (4)

• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Understanding the 5/2 Fractional Quantum Hall Effect without the Pfaffian Wave Function
• Switching noise as a probe of statistics in the fractional quantum Hall effect
• Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid

Cited by in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• 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
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• 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
• Fractional Quantum Hall Effect in a Diluted Magnetic Semiconductor
• Theoretical study of even denominator fractions in graphene: Fermi sea versus paired states of composite fermions
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
• Flat bands on spherical surface: from Landau levels to giant-quantum-number orbitals