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Main Authors: Stålhammar, Marcus, Rudneva, Darya, Hansson, Thors Hans, Wilczek, Frank
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2309.10025
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author Stålhammar, Marcus
Rudneva, Darya
Hansson, Thors Hans
Wilczek, Frank
author_facet Stålhammar, Marcus
Rudneva, Darya
Hansson, Thors Hans
Wilczek, Frank
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2309_10025
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Emergent Chern-Simons Interactions in 3+1 Dimensions
Stålhammar, Marcus
Rudneva, Darya
Hansson, Thors Hans
Wilczek, Frank
Mesoscale and Nanoscale Physics
Superconductivity
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.
title Emergent Chern-Simons Interactions in 3+1 Dimensions
topic Mesoscale and Nanoscale Physics
Superconductivity
url https://arxiv.org/abs/2309.10025