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Close to the Fermi energy, nodal loop semimetals have a torus-shaped,strongly anisotropic Fermi surface which affects their transport properties.Here we investigate the non-equilibrium dynamics of nodal loop semimetals bygoing beyond linear response and determine the time evolution of the currentafter switching on a homogeneous electric field. The current growsmonotonically with time for electric fields perpendicular to the nodal loopplane however it exhibits non-monotonical behavior for field orientationsaligned within the plane. After an initial non-universal growth $\sim Et$, thecurrent first reaches a plateau $\sim E$. Then, for perpendicular directions,it increases while for in-plane directions it decreases with time to anotherplateau, still $\sim E$. These features arise from interband processes. Forlong times or strong electric fields, the current grows as $\sim E^{3/2}t$ or$\sim E^3t^2$ for perpendicular or parallel electric fields, respectively. Thisnon-linear response represents an intraband effect where the large number ofexcited quasiparticles responds to the electric field. Our analytical resultsare benchmarked by the numerical evaluation of the current from continuum andtight-binding models of nodal loop semimetals.

Time dependent electric transport in nodal-loop semimetals