Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy

Abstract

We find the finite-width, i.e., the layer thickness, of experimental quasi-two dimensional systems produces a physical environment sufficient to stabilize the Moore-Read Pfaffian state thought to describe the fractional quantum Hall effect at filling factor $\nu =5/2$. This conclusion is based on exact calculations performed in the spherical and torus geometries, studying wavefunction overlap and ground state degeneracy

5 pages, 3 figures, updated with published version

References in corpus (8)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Fractional Quantum Hall Effect in the Second Landau Level
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Landau level mixing in the nu=5/2 fractional quantum Hall state
• Understanding the 5/2 Fractional Quantum Hall Effect without the Pfaffian Wave Function
• Fermions out of Dipolar Bosons in the lowest Landau level

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• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
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• Quantum Phase Transitions and the ν=5/2 Fractional Hall State in Wide Quantum Wells
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy
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• Theory of Generalized Landau Levels and Implication for non-Abelian States
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• Anisotropic Pseudopotential Characterization of Quantum Hall Systems under Tilted Magnetic Field
• Impact of Heterostructure Design on Transport Properties in the Second Landau Level of in-situ Back-Gated Two-Dimensional Electron Gases
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• Analytic exposition of the graviton modes in fractional quantum Hall effects and its physical implications
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• Shape of the magnetoroton at $\nu =1/3$ and $\nu =7/3$ in real samples
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• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
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• Effects of thickness in quantum dots at strong magnetic fields
• Phase diagram of compressible and paired states in the quarter-filled Landau level
• Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
• Spin-Orbit Interaction Enhanced Fractional Quantum Hall States in the Second Landau Level
• Two-component parton fractional quantum Hall state in graphene
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
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• Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions
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