Composite fermion mass enhancement and particle-hole symmetry of fractional quantum Hall states in the lowest Landau level under realistic conditions

Particle-hole symmetry breaking in the fractional quantum Hall effect has recently been studied both theoretically and experimentally with most works focusing on non-Abelian states in the second electronic Landau level. In this work, we theoretically investigate particle-hole symmetry breaking of incompressible fractional quantum Hall states in the lowest Landau level under the influence of the realistic effect of a finite magnetic-field strength. A finite magnetic field induces Landau-level and sub-band mixing which are known to break particle-hole symmetry at the level of the Hamiltonian. We analyze the Haldane pseudopotentials, energy spectra and energy gaps, and the wave functions themselves, under realistic conditions. We find that particle-hole symmetry is broken, as determined by energy gaps, between states related via particle-hole conjugation, however, we find that particle-hole symmetry is largely maintained as determined by the effective mass of composite fermions. Finally, we comment and make connection to recent experimental observations regarding particle-hole symmetry in the lowest Landau-level fractional quantum Hall effect [Phys. Rev. Lett. 124, 156801 (2020)].

Automated summary

Particle-hole symmetry breaking in the lowest Landau level of the fractional quantum Hall effect under the influence of a finite magnetic field has been theoretically studied in this work. The analysis shows that while symmetry is broken between states related via particle-hole conjugation based on energy gaps, it is largely maintained as determined by the effective mass of composite fermions. These findings are connected to recent experimental observations regarding particle-hole symmetry in the lowest Landau-level fractional quantum Hall effect.