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

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

2008-05-21

arxiv.org/abs/0805.3232v1

J. Phys. A: Math. Theor. 41, 405203, (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

2 pages

Scientific paper

10.1088/1751-8113/41/40/405203

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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