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Wednesday, September 28th 2016

4:30 pm:

Berezinskii-Kosterlitz-Thouless transition describes the phase transition from the quasi long range ordered phase to disordered phase of certain 2d classical systems. The physics picture of the BKT transition as a transition the bounded vortex-antivortex pair becomes unpaired will be presented first. I will show how the original theory can be mapped to interacting vortices (=2d coulomb gas) through a mathematically rigorous duality transformation. Through the RG analysis, we will understand the nature of the phase transition in terms of the interacting vortices.

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