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arXiv · 0805.3232

A proof of the Kramers degeneracy of transmission eigenvalues from antisymmetry of the scattering matrix

J. H. Bardarson
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Abstract

In time reversal symmetric systems with half integral spins (or more concretely, systems with an antiunitary symmetry that squares to -1 and commutes with the Hamiltonian) the transmission eigenvalues of the scattering matrix come in pairs. We present a proof of this fact that is valid both for even and odd number of modes and relies solely on the antisymmetry of the scattering matrix imposed by time reversal symmetry.

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J. H. Bardarson. 2008-05-21. A proof of the Kramers degeneracy of transmission eigenvalues from antisymmetry of the scattering matrix. https://doi.org/10.1088/1751-8113/41/40/405203

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