Coulomb Effects on Electron Transport and Shot Noise in Hybrid Normal-Superconducting Metallic Structures

Abstract

We analyze the effect of electron-electron interactions on Andreev current and shot noise in diffusive hybrid structures composed of a normal metal attached to a superconductor via a weakly transmitting interface. We demonstrate that at voltages/temperatures below the Thouless energy of a normal metal Coulomb interaction yields a reduction of both Andreev current and its noise by a constant factor which essentially depends on the system dimensionality. For quasi-1d structures this factor is $\sim N_{\mathrm{Ch}}^{8/g}$, where $N_{\mathrm{Ch}}$ and $g$ are respectively the number of conducting channels and dimensionless conductance of a normal metal. At voltages above the Thouless energy the interaction correction to Andreev current and shot noise acquires an additional voltage dependence which turns out to be a power-law in the quasi-1d limit.

10 pages, 3 figures

References in corpus (2)

• Coulomb Blockade of Tunneling between Disordered Conductors
• Subgap noise of a superconductor-normal-metal tunnel interface

Cited by in corpus (12)

• Superconductivity in one dimension
• Nonlocal Andreev reflection at high transmissions
• Non-local Andreev reflection in superconducting quantum dots
• Crossed Andreev reflection at spin-active interfaces
• Fluctuations of the Josephson current and electron-electron interactions in superconducting weak links
• Non-local Andreev reflection under ac bias
• Shot noise and Coulomb blockade of Andreev reflection
• Dephasing of Cooper pairs and subgap electron transport in superconducting hybrids
• Spin-resolved crossed Andreev reflection in ballistic heterostructures
• Supercurrent dephasing by electron-electron interactions
• Crossed Andreev reflection and spin-resolved non-local electron transport
• Decoherence of Cooper pairs and subgap magnetoconductance of superconducting hybrids