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 for both 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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