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The equations of the Ginzburg-Landau theory of superconductivity retain their mathematical fascination. The talk will discuss various results concerning the vortex solutions in two dimensions at the critical point between the Type I and Type II regime. Here vortices neither attract nor repel, so there are many static vortex and multi-vortex solutions. These also exist in curved background geometries. In a model where the vortices can move ballistically, one can study the effective mass of one vortex, what happens in vortex collisions, and the properties of an interacting gas of many vortices. There are some precise but surprising mathematical results here. Whether they have physical relevance is (at least for the speaker) an open issue.

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Prof. Nick Manton, DAMTP, University of Cambridge
Seminarraum Theoretische Physik
Contact: not specified