Abstract
The scattering matrix of a point contact between one-dimensional coherent conductors is considered. It is shown that the flux conservation law, time-reversal symmetry, and an hypothesis of continuity of the wave function lead to parametrization of the scattering matrix by a single real parameter, regardless of the number of conductors connected by the contact. The condition of maximum transmission fixes this parameter and thereby uniquely defines the scattering matrix. The condition of flux conservation then reduces to the condition that the sum of the derivatives of the wave function with respect to the directions of the conductors vanish. Possible applications of the model considered to experimentally feasible arrays of one-dimensional elements are discussed.
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