Energetics of Pfaffian-AntiPfaffian Domains

Abstract

In several recent works it has been proposed that, due to disorder, the experimentally observed nu=5/2 quantum Hall state could be microscopically composed of domains of Pfaffian order along with domains of AntiPfaffian order. We numerically examine the energetics required for forming such domains and conclude that for the parameters appropriate for recent experiments, such domains would not occur.

arXiv comment5 pages

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Cited by in corpus (24)

• Fractional charge and fractional statistics in the quantum Hall effects
• Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder
• Graviton Chirality and Topological Order in the Half-filled Landau Level
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• An Effective Field Theory for Fractional Quantum Hall Systems near $\nu =5/2$
• Simple analog of the black-hole information paradox in quantum Hall interfaces
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Adiabatic Construction of Hierarchical Quantum Hall States
• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• Model wavefunctions for an interface between lattice Laughlin and Moore-Read states
• Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
• Dynamics of Quantum Hall Interfaces
• Two-component parton fractional quantum Hall state in graphene
• From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
• Domain Textures in the Fractional Quantum Hall Effect
• Composite fermion mass enhancement and particle-hole symmetry of fractional quantum Hall states in the lowest Landau level under realistic conditions
• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
• The Second Landau Level Projection of Antiholomorphic Pfaffian Wavefunctions