Nonlinear transport due to magnetic-field-induced flat bands in the nodal-line semimetal ZrTe5

The Dirac material ZrTe${}_5$ at very low carrier density was recently found to be a nodal-line semimetal, where ultra-flat bands are expected to emerge in magnetic fields parallel to the nodal-line plane. Here we report that in very low carrier-density samples of ZrTe${}_5$, when the current and the magnetic field are both along the crystallographic $a$ axis, the current-voltage characteristics presents a pronounced nonlinearity which tends to saturate in the ultra quantum limit. The magnetic-field dependence of the nonlinear coefficient is well explained by the Boltzmann theory for flat-band transport, and we argue that this nonlinear transport is likely due to the combined effect of flat bands and charge puddles, the latter appear due to very low carrier densities.