Emergent Chern-Simons Interactions in 3+1 Dimensions
Abstract
Parity violating superconductors can support a low-dimension local interaction that becomes, upon condensation, a purely spatial Chern-Simons term. Solutions to the resulting generalized London equations can be obtained from solutions of the ordinary London equations with a complex penetration depth, and suggest several remarkable physical phenomena. The problem of flux exclusion by a sphere brings in an anapole moment, the problem of current-carrying wires brings in an azimuthal magnetic field, and the problem of vortices brings in currents along the vortices. We demonstrate that interactions of this kind, together with a conceptually related dimensionally reduced Chern-Simons interaction, can arise from physically plausible microscopic interactions.
Cite
@article{arxiv.2309.10025,
title = {Emergent Chern-Simons Interactions in 3+1 Dimensions},
author = {Marcus Stålhammar and Darya Rudneva and Thors Hans Hansson and Frank Wilczek},
journal= {arXiv preprint arXiv:2309.10025},
year = {2024}
}
Comments
11+5 pages, 4+1 figures. Published in Phys. Rev. B