Skyrmions in the Moore-Read state at nu=5/2

Abstract

We study charged excitations of the non-abelian Moore-Read liquid at filling factor nu=5/2, allowing for spin depolarization. Using a combination of numerical studies, and taking account of non-zero well widths, we find that at sufficiently low Zeeman energy it is energetically favourable for charge e/4 quasiholes to bind into "skyrmions" of charge e/2. We show that skyrmion formation is further promoted by disorder, and argue that this can lead to a depolarized nu=5/2 ground state in realistic experimental situations. We comment on the consequences for the activated transport.

4 pages, 3 figures

References in corpus (7)

• Non-Abelian Anyons and Topological Quantum Computation
• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Paired composite fermion wavefunctions
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field
• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers

Cited by in corpus (18)

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• NMR probing of the spin polarization of the nu=5/2 quantum Hall state
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Optical Probing of the Spin Polarization of the nu=5/2 Quantum Hall State
• Landau Level Quantization on the Sphere
• Rapid collapse of spin waves in non-uniform phases of the second Landau level
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Higher Landau-Level Analogs and Signatures of Non-Abelian States in Twisted Bilayer MoTe${}_2$
• Localized quasiholes and the Majorana fermion in fractional quantum Hall state at nu=5/2 via direct diagonalization
• Enhancement of the $\nu =5/2$ Fractional Quantum Hall State in a Small In-Plane Magnetic Field
• Variational Monte Carlo study of spin polarization stability of fractional quantum Hall states against realistic effects in half-filled Landau levels
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Phase diagram of $\nu =\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings
• Entanglement Entropy of Random Fractional Quantum Hall Systems
• Charged spin textures over the Moore-Read quantum Hall state
• Trial wavefunctions for the Goldstone mode in ν=1/2+1/2 quantum Hall bilayers
• Spin texture readout of a Moore-Read topological quantum register