Extended Data Fig. 7: Temperature dependent nonlinear anomalous Hall effect at E=0.2 V/nm and P<0.

a, b, Filling factor dependence of \(\frac{{V_ \bot ^{2\omega }}}{{I^2}}\) (a) and the longitudinal resistance R (b) at varying temperatures from 30 K to 100 K. c, Extracted \(V_ \bot ^{2\omega }/V_\parallel ^2\) as a function of the sample conductance G at selected moiré filling factors from –2.5, to 0.15. Unlike the extrinsic NAHE in the coherent metallic transport regime, in which \(V_ \bot ^{2\omega }/V_\parallel ^2 \propto G^2\) is expected and has been observed²⁶, complicated dependence of \(V_ \bot ^{2\omega }/V_\parallel ^2\) on G is observed for the variable-range hopping transport regime here. Future studies are required to better understand the NAHE in the hopping transport regime.