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Landauer Formula for a Superconducting Quantum Point Contact

Sergey S. Pershoguba, Thomas Veness, Leonid I. Glazman

DOI 10.1103/PhysRevLett.123.067001 · Physical Review Letters

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Abstract

We generalize the Landauer formula to describe the dissipative electron transport through a superconducting point contact. The finite-temperature, linear-in-bias, dissipative dc conductance is expressed in terms of the phase- and energy-dependent scattering matrix of the Bogoliubov quasiparticles in the quantum point contact. The derived formula is also applicable to hybrid superconducting-normal structures and normal contacts, where it agrees with the known limits of Andreev reflection and normal-state conductance, respectively.

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