Nernst effect, Seebeck effect, and vortex dynamics in the mixed state of superconductors

We demonstrate that in the presence of pinning a simple relation exists between Nernst and Seebeck coefficients and the resistivity tensor, based on the vortex equation of motion and the two-fluid model. Thus the combination of the electric and thermoelectric transport experiments can be used to test the basic models for the vortex dynamics in superconductors. Then we show how two different vortex dynamics models can be subjected to these tests. We find that the vortex dynamics model without various normal fluid drag forces is consistent with those experiments, and that the alternative model with those drag forces is not.