Shot Noise for Electron Pairing without Superconductivity*

Recent experiments have revealed electron pairing in superconductors outside the superconducting regime [1]. We propose and theoretically study an engineered nanostructure that allows in-situ tunability and pairing of electrons beyond the limitations of the Anderson-Holstein model [2]. Assuming a source-drain biased setup, we obtain the expected current and shot noise via full counting statistics and infer a sharp increase of the Fano factor as the system enters the phase of electron pairing. Our results can be used to verify and contribute to the understanding of electron-pairing without superconductivity.

[1] G. Cheng et al., Electron Pairing without Superconductivity, Nature 521, 196 (2015).
[2] J. Koch et al., Pair Tunneling through Single Molecules, PRL 96, 056803 (2006).