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Landauer Formula for a Superconducting Quantum Point Contact.

Sergey S Pershoguba¹, Thomas Veness¹, Leonid I Glazman¹

¹Department of Physics, Yale University, New Haven, Connecticut 06520, USA.

Physical Review Letters

|September 7, 2019

Summary

We generalized the Landauer formula for dissipative electron transport in superconducting point contacts. This new formula describes conductance using scattering matrices for Bogoliubov quasiparticles.

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Area of Science:

Condensed Matter Physics
Quantum Transport

Background:

The Landauer formula traditionally describes electron transport in normal conductors.
Superconducting contacts introduce complex quantum phenomena like Andreev reflection.
Understanding dissipative transport in these systems is crucial for quantum electronics.

Purpose of the Study:

To generalize the Landauer formula for dissipative electron transport in superconducting point contacts.
To provide a unified framework for electron transport in hybrid superconducting-normal structures.
To enable accurate prediction of conductance in quantum point contacts.

Main Methods:

Generalization of the Landauer formula.
Inclusion of phase- and energy-dependent scattering matrix for Bogoliubov quasiparticles.
Analysis of finite-temperature, linear-in-bias dc conductance.

Main Results:

A generalized Landauer formula for dissipative transport through superconducting point contacts.
The formula expresses conductance via the scattering matrix of Bogoliubov quasiparticles.
Validation of the formula in limiting cases of hybrid and normal contacts.

Conclusions:

The generalized formula accurately describes dissipative electron transport in superconducting point contacts.
It provides a consistent theoretical framework applicable to both superconducting and normal systems.
This work advances the understanding of quantum transport in mesoscopic devices.