Casimir interaction of two dielectric half spaces with Chern-Simons boundary layers

Abstract

A diffraction problem for a flat Chern-Simons layer at plane boundary of a dielectric half space is solved. The Casimir energy of two dielectric half spaces with Chern-Simons layers at plane-parallel boundaries separated by a vacuum slit is derived. Crossing from the repulsive to the attractive Casimir force is analyzed for two Au and two Si half spaces with boundary Chern-Simons layers. Boundary quantum Hall layers in external magnetic field lead to Casimir repulsion at nanoscales. We discuss features that make systems with boundary quantum Hall layers unique for force measurements and search of long-range interactions beyond electromagnetism.

18 pages, 8 figures, Latex2e, description of experimental implementation is added

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Cited by in corpus (7)

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• How many surface modes does one see on the boundary of a Dirac material?
• Casimir-Polder interaction with Chern-Simons boundary layers
• On the (im)possibility of Casimir repulsion between Chern-Simons surfaces
• A Two-Gauge Field Model for Magnetoelectric Boundaries