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arXiv · 2309.10025

Emergent Chern-Simons Interactions in 3+1 Dimensions

Marcus Stålhammar·Darya Rudneva·Thors Hans Hansson·Frank Wilczek
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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.

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Marcus Stålhammar, Darya Rudneva, Thors Hans Hansson, Frank Wilczek. 2023-09-18. Emergent Chern-Simons Interactions in 3+1 Dimensions. https://doi.org/10.1103/physrevb.109.064514

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