Electronic Excitations in the Bulk of Fractional Quantum Hall States
Abstract
We analyze electronic excitations (excitations generated by adding or removing one electron) in the bulk of fractional quantum Hall states in Jain sequence states, using composite fermion ChernSimons field theory. Starting from meanfield approximation in which gauge field fluctuations are neglected, we use symmetry to constrain the possible composite fermion states contributing to electronic Green's function and expect discrete infinitelysharp peaks in the electronic spectral function. We further consider the electronic excitations in particlehole conjugate fractional quantum hall states. Gauge field fluctuations play an increasingly important role in the electron spectral function as the filling factor approaches 1/2, and evolve the discrete coherent peaks into a broad continuum even in the absence of impurities. At that limit, we switch to the electron perspective and calculate the electron spectral function via linked cluster approximation from the low to intermediate energy range. Finally, we compare our results with recent experiments.
 Publication:

arXiv eprints
 Pub Date:
 June 2024
 DOI:
 10.48550/arXiv.2406.09382
 arXiv:
 arXiv:2406.09382
 Bibcode:
 2024arXiv240609382Y
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics;
 Condensed Matter  Strongly Correlated Electrons