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arXiv · 1309.6652

Quantized Faraday effect in (3+1)-dimensional and (2+1)-dimensional systems

L. Cruz Rodriguez·A. Perez Martinez·H. Perez Rojas·E. Rodriguez Querts
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Abstract

We study Faraday rotation in the quantum relativistic limit. Starting from the photon self-energy in the presence of a constant magnetic field the rotation of the polarization vector of a plane electromagnetic wave which travel along the fermion-antifermion gas is studied. The connection between Faraday Effect and Quantum Hall Effect (QHE) is discussed. The Faraday Effect is also investigated for a massless relativistic (2D+1)-dimensional fermion system which is derived by using the compactification along the dimension parallel to the magnetic field. The Faraday angle shows a quantized behavior as Hall conductivity in two and three dimensions.

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L. Cruz Rodriguez, A. Perez Martinez, H. Perez Rojas, E. Rodriguez Querts. 2013-12-19. Quantized Faraday effect in (3+1)-dimensional and (2+1)-dimensional systems. https://doi.org/10.1103/physreva.88.052126

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