Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State

Abstract

We perform numerical studies to determine if the fractional quantum Hall state observed at filling nu=5/2 is the Moore-Read wavefunction or its particle hole conjugate, the so-called AntiPfaffian. Using a truncated Hilbert space approach we find that for realistic interactions, including Landau-level mixing, the ground state remains fully polarized and the AntiPfaffian is strongly favored.

Main change is that the Anti-Pfaffian is favored instead of the Pfaffian (caused by a sign error in the commutation relation of the dynamical momenta). 4-plus pages, 3 figures

References in corpus (13)

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• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of neutral modes in the fractional quantum Hall regime
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• The Effect of Landau Level-Mixing on the Effective Interaction between Electrons in the fractional quantum Hall regime
• Paired composite fermion wavefunctions
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Tilt-Induced Anisotropic to Isotropic Phase Transition at $\nu =5/2$
• Particle-Hole Symmetry Breaking and the 5/2 Fractional Quantum Hall Effect
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• Entanglement signatures of quantum Hall phase transitions
• Landau level mixing in the nu=5/2 fractional quantum Hall state

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