Determine interaction corrections to composite-fermion edge absorption

Quantify how residual composite-fermion interactions treated at the Hartree level, through a self-consistent Coulomb potential in the composite-fermion Hamiltonian, shift the edge-state absorption peak positions relative to the mean-field results.

Background

The paper calculates composite-fermion edge-state spectra and optical absorbance using a mean-field approximation in which the attached flux quanta are replaced by their average. This neglects residual composite-fermion interactions that can modify both the edge energy spectrum and the electron density profile.

The authors identify a concrete unresolved correction: introducing a self-consistent Coulomb potential at the Hartree level and determining the resulting changes in the predicted absorption peak positions. Such a calculation would assess the robustness of the proposed spectroscopic signatures beyond mean field.

References

In future work, we plan to implement this correction by adding a self-consistent Coulomb potential to the CF Hamiltonian and quantifying the resulting shift in peak positions relative to the mean-field results.

— Optical spectroscopy of composite fermion edge states in the fractional quantum Hall effect  (2608.26521 - Sebastian et al., 27 Aug 2026) in Section 5, “Discussion and Limitations,” subsection “Residual CF-CF interactions at the Hartree level”