Vortices Interaction

in 2D XY model

Review of 2D XY model and a brief summary of the calculation for the topological defects in the system (vortices) interact.

Collective Behaviors

of Vortices in 2D XY model

Examine the Renormalization Group flow and interpreted the collective behaviors of vortices in term of phase transitions.

Collective Behaviors

of Vortices in thin slab

Superconductor of Type I & II

Show interesting collective behaviors of the topological defects.