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.

5 pages

References in corpus (4)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width

Cited by in corpus (17)

• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• 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
• Dynamics of Quantum Hall Interfaces
• Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
• 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
• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
• Composite fermion mass enhancement and particle-hole symmetry of fractional quantum Hall states in the lowest Landau level under realistic conditions
• The Second Landau Level Projection of Antiholomorphic Pfaffian Wavefunctions