Current and shot noise in a normal metal-superconductor junction driven by spin-dependent periodic pulse sequence

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Hauptverfasser: Bertin-Johannet, Bruno, Grémaud, Benoît, Ronneti, Flavio, Raymond, Laurent, Rech, Jérôme, Jonckheere, Thibaut, Martin, Thierry
Format: Preprint
Veröffentlicht: 2023
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author Bertin-Johannet, Bruno
Grémaud, Benoît
Ronneti, Flavio
Raymond, Laurent
Rech, Jérôme
Jonckheere, Thibaut
Martin, Thierry
author_facet Bertin-Johannet, Bruno
Grémaud, Benoît
Ronneti, Flavio
Raymond, Laurent
Rech, Jérôme
Jonckheere, Thibaut
Martin, Thierry
contents Andreev reflection is a fundamental transport process occurring at the junction between a normal metal and a superconductor (a N-S junction), when an incident electron from the normal side can only be transmitted in the superconductor as a Cooper pair, with the reflection of a hole in the normal metal. As a consequence of the spin singlet nature of the BCS Cooper pairs, the current due to Andreev reflection at a N-S junction is always symmetric in spin. Using a Keldysh Nambu Floquet approach, combining analytical and numerical calculations, we study in details the AC transport at a N-S junction, when the two spin components in the normal metal are driven by different periodic drives. We show that, in the Andreev regime, i.e. when the superconducting gap is much larger than the frequency of the drives, the spin-resolved photo-assisted currents are always equal even if the two drives are different. In addition, we show that in this regime the excess noise depends only on the sum of the periodic drives, and we consider in particular the case of Lorentzian pulses (Levitons). We also show how these properties get modified when going beyond the Andreev regime. Finally we give a simple analytical proof of the special properties of the Andreev regime using an exact mapping to a particular N-N junction.
format Preprint
id arxiv_https___arxiv_org_abs_2311_15684
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Current and shot noise in a normal metal-superconductor junction driven by spin-dependent periodic pulse sequence
Bertin-Johannet, Bruno
Grémaud, Benoît
Ronneti, Flavio
Raymond, Laurent
Rech, Jérôme
Jonckheere, Thibaut
Martin, Thierry
Superconductivity
Mesoscale and Nanoscale Physics
Quantum Physics
Andreev reflection is a fundamental transport process occurring at the junction between a normal metal and a superconductor (a N-S junction), when an incident electron from the normal side can only be transmitted in the superconductor as a Cooper pair, with the reflection of a hole in the normal metal. As a consequence of the spin singlet nature of the BCS Cooper pairs, the current due to Andreev reflection at a N-S junction is always symmetric in spin. Using a Keldysh Nambu Floquet approach, combining analytical and numerical calculations, we study in details the AC transport at a N-S junction, when the two spin components in the normal metal are driven by different periodic drives. We show that, in the Andreev regime, i.e. when the superconducting gap is much larger than the frequency of the drives, the spin-resolved photo-assisted currents are always equal even if the two drives are different. In addition, we show that in this regime the excess noise depends only on the sum of the periodic drives, and we consider in particular the case of Lorentzian pulses (Levitons). We also show how these properties get modified when going beyond the Andreev regime. Finally we give a simple analytical proof of the special properties of the Andreev regime using an exact mapping to a particular N-N junction.
title Current and shot noise in a normal metal-superconductor junction driven by spin-dependent periodic pulse sequence
topic Superconductivity
Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2311.15684