Quantum Interference and Nonequilibrium Josephson Currents in Molecular Andreev Interferometers

We study the quantum interference (QI) effects in three-terminal Andreev interferometers based on polyaromatic hydrocarbons (PAHs) under non-equilibrium conditions. The Andreev interferometer consists of a PAH coupled to two superconducting and one normal conducting terminals. We calculate the curre...

Full description

Bibliographic Details
Main Authors: Noel L. Plaszkó, Peter Rakyta, József Cserti, Andor Kormányos, Colin J. Lambert
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/10/6/1033
_version_ 1797566838772596736
author Noel L. Plaszkó
Peter Rakyta
József Cserti
Andor Kormányos
Colin J. Lambert
author_facet Noel L. Plaszkó
Peter Rakyta
József Cserti
Andor Kormányos
Colin J. Lambert
author_sort Noel L. Plaszkó
collection DOAJ
description We study the quantum interference (QI) effects in three-terminal Andreev interferometers based on polyaromatic hydrocarbons (PAHs) under non-equilibrium conditions. The Andreev interferometer consists of a PAH coupled to two superconducting and one normal conducting terminals. We calculate the current measured in the normal lead as well as the current between the superconducting terminals under non-equilibrium conditions. We show that both the QI arising in the PAH cores and the bias voltage applied to a normal contact have a fundamental effect on the charge distribution associated with the Andreev Bound States (ABSs). QI can lead to a peculiar dependence of the normal current on the superconducting phase difference that was not observed in earlier studies of mesoscopic Andreev interferometers. We explain our results by an induced asymmetry in the spatial distribution of the electron- and hole-like quasiparticles. The non-equilibrium charge occupation induced in the central PAH core can result in a <inline-formula> <math display="inline"> <semantics> <mi>π</mi> </semantics> </math> </inline-formula> transition in the current-phase relation of the supercurrent for large enough applied bias voltage on the normal lead. The asymmetry in the spatial distribution of the electron- and hole-like quasiparticles might be used to split Cooper pairs and hence to produce entangled electrons in four terminal setups.
first_indexed 2024-03-10T19:32:14Z
format Article
id doaj.art-c876f17e2d96423380fe662460e33a2d
institution Directory Open Access Journal
issn 2079-4991
language English
last_indexed 2024-03-10T19:32:14Z
publishDate 2020-05-01
publisher MDPI AG
record_format Article
series Nanomaterials
spelling doaj.art-c876f17e2d96423380fe662460e33a2d2023-11-20T02:02:10ZengMDPI AGNanomaterials2079-49912020-05-01106103310.3390/nano10061033Quantum Interference and Nonequilibrium Josephson Currents in Molecular Andreev InterferometersNoel L. Plaszkó0Peter Rakyta1József Cserti2Andor Kormányos3Colin J. Lambert4Department of Physics of Complex Systems, Eötvös Loránd University, Budapest 1095, Pázmány P. s. 1/A, HungaryDepartment of Physics of Complex Systems, Eötvös Loránd University, Budapest 1095, Pázmány P. s. 1/A, HungaryDepartment of Physics of Complex Systems, Eötvös Loránd University, Budapest 1095, Pázmány P. s. 1/A, HungaryDepartment of Physics of Complex Systems, Eötvös Loránd University, Budapest 1095, Pázmány P. s. 1/A, HungaryDepartment of Physics, Lancaster University, Lancaster LA1 4YB, UKWe study the quantum interference (QI) effects in three-terminal Andreev interferometers based on polyaromatic hydrocarbons (PAHs) under non-equilibrium conditions. The Andreev interferometer consists of a PAH coupled to two superconducting and one normal conducting terminals. We calculate the current measured in the normal lead as well as the current between the superconducting terminals under non-equilibrium conditions. We show that both the QI arising in the PAH cores and the bias voltage applied to a normal contact have a fundamental effect on the charge distribution associated with the Andreev Bound States (ABSs). QI can lead to a peculiar dependence of the normal current on the superconducting phase difference that was not observed in earlier studies of mesoscopic Andreev interferometers. We explain our results by an induced asymmetry in the spatial distribution of the electron- and hole-like quasiparticles. The non-equilibrium charge occupation induced in the central PAH core can result in a <inline-formula> <math display="inline"> <semantics> <mi>π</mi> </semantics> </math> </inline-formula> transition in the current-phase relation of the supercurrent for large enough applied bias voltage on the normal lead. The asymmetry in the spatial distribution of the electron- and hole-like quasiparticles might be used to split Cooper pairs and hence to produce entangled electrons in four terminal setups.https://www.mdpi.com/2079-4991/10/6/1033superconductivitymolecular electronicsquantum interferenceCooper pair splitting
spellingShingle Noel L. Plaszkó
Peter Rakyta
József Cserti
Andor Kormányos
Colin J. Lambert
Quantum Interference and Nonequilibrium Josephson Currents in Molecular Andreev Interferometers
Nanomaterials
superconductivity
molecular electronics
quantum interference
Cooper pair splitting
title Quantum Interference and Nonequilibrium Josephson Currents in Molecular Andreev Interferometers
title_full Quantum Interference and Nonequilibrium Josephson Currents in Molecular Andreev Interferometers
title_fullStr Quantum Interference and Nonequilibrium Josephson Currents in Molecular Andreev Interferometers
title_full_unstemmed Quantum Interference and Nonequilibrium Josephson Currents in Molecular Andreev Interferometers
title_short Quantum Interference and Nonequilibrium Josephson Currents in Molecular Andreev Interferometers
title_sort quantum interference and nonequilibrium josephson currents in molecular andreev interferometers
topic superconductivity
molecular electronics
quantum interference
Cooper pair splitting
url https://www.mdpi.com/2079-4991/10/6/1033
work_keys_str_mv AT noellplaszko quantuminterferenceandnonequilibriumjosephsoncurrentsinmolecularandreevinterferometers
AT peterrakyta quantuminterferenceandnonequilibriumjosephsoncurrentsinmolecularandreevinterferometers
AT jozsefcserti quantuminterferenceandnonequilibriumjosephsoncurrentsinmolecularandreevinterferometers
AT andorkormanyos quantuminterferenceandnonequilibriumjosephsoncurrentsinmolecularandreevinterferometers
AT colinjlambert quantuminterferenceandnonequilibriumjosephsoncurrentsinmolecularandreevinterferometers