| A vortex is a topological defect in a superconductor and hence a stable emergent particle. How such an emergent object reacts to external forces (currents) is tightly bound to the nature of the superconductor of which it is a topological defect. In this talk I will discuss the pseudo-Lorentz force on a single vortex. I will show how it is constraint by simple principles and how any change in its strength is necessarily bound to a topological transition where the Chern number changes its value due to a Dirac-type level crossing. I also discuss applications of our results to high temperature superconductors and atoms in synthetic magnetic fields. |
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