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Electromagnetic waves in a model with Chern-Simons potential.

D Yu Pis'mak1, Yu M Pis'mak1, F J Wegner2

  • 1Department of Theoretical Physics, Saint Petersburg State University, 198504 Saint Petersburg, Russia.

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Summary
This summary is machine-generated.

This study explores Chern-Simons terms in electrodynamics at material surfaces, finding they alter electromagnetic wave reflection and transmission. These effects depend on Chern-Simons interaction strength and mix wave components.

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Area of Science:

  • Condensed matter physics
  • Quantum field theory
  • Electromagnetism

Background:

  • Chern-Simons terms are crucial in topological quantum field theories.
  • Understanding electromagnetic phenomena at material interfaces is vital for device applications.

Purpose of the Study:

  • To investigate the emergence and impact of Chern-Simons terms in electrodynamics at material surfaces or interfaces.
  • To analyze the scattering and reflection of electromagnetic waves under these conditions.

Main Methods:

  • Imposed requirements of locality, gauge invariance, and renormalizability.
  • Determined scattering and reflection of electromagnetic waves across three homogeneous media layers.

Main Results:

  • Snell's law remains valid.
  • Transmission and reflection coefficients are influenced by Chern-Simons interaction strength (related to Hall conductance).
  • Parallel and perpendicular electromagnetic wave components become mixed.

Conclusions:

  • Chern-Simons terms at material interfaces modify electromagnetic wave propagation.
  • The Hall conductance plays a key role in these modifications.
  • This phenomenon has implications for understanding wave behavior in structured materials.