Quantized Faraday effect in (3+1)-dimensional and (2+1)-dimensional systems
High Energy Physics - Phenomenology
2013-12-20 v2 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.1309.6652,
title = {Quantized Faraday effect in (3+1)-dimensional and (2+1)-dimensional systems},
author = {L. Cruz Rodriguez and A. Perez Martinez and H. Perez Rojas and E. Rodriguez Querts},
journal= {arXiv preprint arXiv:1309.6652},
year = {2013}
}
Comments
15 pages, 5 figures