  We consider the Hall conductivity of composite fermions in the theory of
Halperin, Lee, and Read (HLR). We present a fully quantum mechanical numerical
calculation that shows, under suitable conditions, the HLR theory exhibits a
particle-hole symmetric dc electrical Hall response in the presence of quenched
disorder. Remarkably, this response of the HLR theory remains robust even when
the disorder range is of the order of the Fermi wavelength. We find that
deviations from particle-hole symmetric response can appear in the ac Hall
conductivity at frequencies sufficiently large compared to the inverse system
size. Our results agree with a recent semi-classical analysis by Wang et al.,
Phys. Rev. X 7, 031029 (2017) and complement the arguments based on the fully
quantum-mechanical model by Kumar et al., Phys. Rev. B 98, 11505 (2018). These
results provide further evidence that the HLR theory is compatible with an
emergent particle-hole symmetry.
