Particle-Hole Symmetry and the Fractional Quantum Hall Effect in the Lowest Landau Level

Abstract

We report on detailed experimental studies of a high-quality heterojunction insulated-gate field-effect transistor (HIGFET) to probe the particle-hole symmetry (PHS) of the FQHE states about half-filling in the lowest Landau level. The HIGFET was specially designed to vary the density of a two-dimensional electronic system under constant magnetic fields. We find in our constant magnetic field, variable density measurements that the sequence of FQHE states at filling factors nu = 1/3, 2/5, 3/7 ... and its particle-hole conjugate states at filling factors 1 - nu = 2/3, 3/5, 4/7 ... have a very similar energy gap. Moreover, a reflection symmetry can be established in the magnetoconductivities between the nu and 1 - nu states about half-filling. Our results demonstrate that the FQHE states in the lowest Landau level are manifestly particle-hole symmetric.

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• Fractional quantum Hall effect energy gap: role of electron layer thickness
• Universality of Quantum Phase Transitions in the Integer and Fractional Quantum Hall Regimes
• Revisiting excitation gaps in the fractional quantum Hall effect
• Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid
• Fluctuations and magnetoresistance oscillations near the half-filled Landau level
• Bosonic fractional Chern insulating state at integer fillings in multi-band system
• Composite Fermion Mass
• Emergent reflection symmetry from non-relativistic composite fermions
• Pairing of Composite-Electrons and Composite-Holes in ${\nu }_T=1$ Quantum Hall Bilayers
• Composite Fermion Nonlinear Sigma Models
• Electromagnetic response of composite Dirac fermions in the half-filled Landau level
• Dihedral twist liquid models from emergent Majorana fermions
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Fixed-phase diffusion Monte Carlo study of the activation gap and the skyrmion excitation of $\nu =1$ system in the presence of charged impurities
• Composite fermion mass enhancement and particle-hole symmetry of fractional quantum Hall states in the lowest Landau level under realistic conditions
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations