Entropy fluxes versus magnetization currents in thermomagnetic phenomena

Having been generated by magnetic vector potential without the electromotive force, quantum currents (magnetization, superconducting, persistent and topological edge currents) do not produce entropy and cannot be created by thermal entropic forces. However, dozens of recent papers associate fluxes of the magnetization energy with the heat transfer. We demonstrate that the heat current, thermal forces, and thermomagnetic phenomena have entropic nature camouflaged by temperature dependent quantum currents. Entropic approach previously developed for collisionless thermomagnetic phenomena is generalized for interacting electrons with finite mobility. Both microscopic and phenomenological considerations show that giant thermomagnetic effects without particle-hole asymmetry are impossible in the Fermi liquid.
Recent advanced experiments with single superconducting vortices that follow the moving laser-generated hot spot are discussed as direct demonstration of non-entropic character of superconducting magnetization currents.