Schrodinger-Chern-Simons Vortex Dynamics

Abstract

We study the motion of vortices in the planar Ginzburg-Landau model with Schrodinger-Chern-Simons dynamics. We compare the moduli space approximation with the results of numerical simulations of the full field theory and find that there is agreement if the coupling constant is very close to the critical value separating Type I from Type II superconductors. However, there are significant qualitative differences even for modest deviations from the critically coupled regime. Radiation effects produce forces which are of the same order of magnitude as the intervortex force and therefore have a significant impact on vortex motion. We conclude that the moduli space approximation does not provide a good description of the dynamics in this regime.

24 pages and 10 figures. Appendix added. Version to appear in Nonlinearity

References in corpus (7)

• Asymptotic Interactions of Critically Coupled Vortices
• Static intervortex forces
• Effective Lagrangians for BCS Superconductors at T=0
• First Order Vortex Dynamics
• Scattering of Vortices at near-critical coupling
• Slow Schroedinger dynamics of gauged vortices
• Unstable manifolds and Schroedinger dynamics of Ginzburg-Landau vortices

Cited by in corpus (6)

• Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system
• Vortices and magnetic impurities
• Exact moduli space metrics for hyperbolic vortices
• Abelian Chern-Simons vortices in the presence of magnetic impurities
• Kähler quantization of vortex moduli
• Self-dual $CP(2)$ vortex-like solitons in the presence of magnetic impurities