For the interacting SSH model, QMC data show that the low-frequency response of chiral density to an electric field remains equal to the electrical conductivity, so local Hubbard interactions do not renormalize the 1D chiral effect.
Chiral kinetic theory from Landau level basis
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abstract
We derive a chiral kinetic theory with Landau level basis, which is valid for slow-varying magnetic field with arbitrary magnitude. We apply the new chiral kinetic theory to calculate the electric conductivity transverse to the magnetic field in a magnetized QED and QCD plasma. Under the lowest Landau level approximation and relaxation time approximation, we find the transverse conductivity approaches a constant in the large magnetic field limit and is inversely proportional to the relaxation time. We also obtain a frequency-dependent transverse conductivity in response to a time-dependent electric field. We find a high frequency enhancement in this conductivity.
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Influence of interactions on the chiral effect in $1D$ Dirac semimetal
For the interacting SSH model, QMC data show that the low-frequency response of chiral density to an electric field remains equal to the electrical conductivity, so local Hubbard interactions do not renormalize the 1D chiral effect.