Origin of the anomalous L=2 static-structure-factor behavior

Determine why the projected static structure factor of the composite-fermion Fermi liquid behaves anomalously at angular momentum L=2, including whether the anomaly is related to curvature effects in the spherical geometry.

Background

The paper studies the long-wavelength projected static structure factor $\bar{S}(\mathbf{q})$ of the composite-fermion Fermi liquid using composite-fermion diagonalization in spherical geometry. In the thermodynamic extrapolation, the authors omit the $L=2$ data point because it does not lie on the smooth sequence formed by the remaining even-angular-momentum data with $L\geq4$.

The supplementary analysis reports that the $L=2$ result remains separated from the other data across system sizes and filling factors and differs appreciably from the zeroth-order composite-fermion result. The authors explicitly state that the reason for this anomaly is unknown, while suggesting that curvature effects may be responsible.