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A superconductor connected to normal leads allows to generate Einstein-Podolsky-Rosen pairs by Cooper pair splitting. It has been realized with quantum dots either defined in carbon nanotubes or InAs nanowires. After establishing the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 H. Soller

We propose an approach allowing the computation of currents and their correlations in interacting multiterminal mesoscopic systems involving quantum dots coupled to normal and/or superconducting leads. The formalism relies on the expression…

Mesoscale and Nanoscale Physics · Physics 2012-01-18 J. Rech , D. Chevallier , T. Jonckheere , T. Martin

We propose a simple phenomenological theory for quantum tunneling of Cooper pairs based on their boson like nature. Thus it applies in the absence of quasiparticle excitations (fermions), and should be suitable for boson like particles at…

Superconductivity · Physics 2020-09-15 Edgar J. Patiño , Daniel Lozano-Gómez

We present electron spin entanglers--devices creating mobile spin-entangled electrons that are spatially separated--where the spin-entanglement in a superconductor present in form of Cooper pairs and in a single quantum dot with a spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Patrik Recher , D. S. Saraga , Daniel Loss

We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian.…

Other Condensed Matter · Physics 2009-11-11 M. Aranzana , N. Regnault , Th. Jolicoeur

Single-charge tunneling in ultrasmall voltage biased SIS junctions in a high-impedance electromagnetic environment is considered. The Cooper pair current is calculated at T=0 on the basis of the elementary tunnel Hamiltonian for…

Condensed Matter · Physics 2016-08-15 A. Hädicke , W. Krech

Splitting of Cooper pairs has recently been realized experimentally for s-wave Cooper pairs. A split Cooper pair represents an entangled two-electron pair state which has possible application in on-chip quantum computation. Likewise the…

Mesoscale and Nanoscale Physics · Physics 2013-01-18 H. Soller , A. Komnik

Conventional Cooper pairing arises from attractive interaction of electrons in the metallic bands. Recent experiment on Co-doped LiFeAs shows superconductivity in the insulating valence band, which is evolved from a metallic hole band upon…

Superconductivity · Physics 2015-04-29 Lun-Hui Hu , Wei-Qiang Chen , Fu-Chun Zhang

Cooper pair splitters hold utility as a platform for investigating the entanglement of electrons in Cooper pairs, but probing splitters with voltage-biased Ohmic contacts prevents the retention of electrons from split pairs since they can…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Damaz de Jong , Christian G. Prosko , Lin Han , Filip K. Malinowski , Yu Liu , Leo P. Kouwenhoven , Wolfgang Pfaff

Correlations are fundamental in describing many body systems - not only in natural sciences. However, in experiments, correlations are notoriously difficult to assess on the microscopic scale, especially for electron spins. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-12-20 Arunav Bordoloi , Valentina Zannier , Lucia Sorba , Christian Schönenberger , Andreas Baumgartner

Entangling two quantum bits by letting them interact is the crucial requirements for building a quantum processor. For qubits based on the spin of the electron, these two-qubit gates are typically performed by exchange interaction of the…

Mesoscale and Nanoscale Physics · Physics 2015-12-07 Fabian Hassler , Gianluigi Catelani , Hendrik Bluhm

Rapid miniaturization of electronic devices and circuits demands profound understanding of fluctuation phenomena at the nanoscale. Superconducting nanowires -- serving as important building blocks for such devices -- may seriously suffer…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 Konstantin Yu. Arutyunov , Janne S. Lehtinen , Alexey Radkevich , Andrew G. Semenov , Andrei D. Zaikin

We investigate the nonlocal thermoelectric transport in a Cooper-pair splitter based on a double-quantum-dot-superconductor three-terminal hybrid structure. We find that the nonlocal coupling between the superconductor and the quantum dots…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Robert Hussein , Michele Governale , Sigmund Kohler , Wolfgang Belzig , Francesco Giazotto , Alessandro Braggio

Using the Keldysh formalism the tunneling current through a hybrid structure where a confined magnetic insulator (I) is sandwiched between two non-magnetic leads is calculated. The leads can be either normal metals (M) or superconductors…

Strongly Correlated Electrons · Physics 2009-11-13 N. Sandschneider , W. Nolting

We investigate non-linear transport in a double quantum dot connected to two normal electrodes and a central superconducting finger. By this means, we perform a transport spectroscopy of such a system which implements a Cooper pair…

Mesoscale and Nanoscale Physics · Physics 2012-05-10 L. G. Herrmann , P. Burset , W. J. Herrera , F. Portier , P. Roche , C. Strunk , A. Levy Yeyati , T. Kontos

We consider a new kind of superconducting proximity effect created by the tunneling of "spin split" Cooper pairs between two conventional superconductors connected by a normal conductor containing a quantum dot. The difference compared to…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 O. Entin-Wohlman , R. I. Shekhter , M. Jonson , A. Aharony

The two electrons of a Cooper pair in a conventional superconductor form a singlet and therefore a maximally entangled state. Recently, it was demonstrated that the two particles can be extracted from the superconductor into two spatially…

Mesoscale and Nanoscale Physics · Physics 2012-10-10 J. Schindele , A. Baumgartner , C. Schönenberger

When an electron with well-defined momentum tunnels into a nonchiral Luttinger liquid, it breaks up into two separate wave packets that carry fractional charges and move in opposite directions. A direct observation of this phenomenon has…

Mesoscale and Nanoscale Physics · Physics 2012-05-31 Ion Garate , Karyn Le Hur

We study the quantum point contact between the topological superconductor and the helical Luttinger liquid. The effects of the electron-electron interactions in the helical Luttinger liquid on the low-energy physics of this system are…

Strongly Correlated Electrons · Physics 2015-06-18 Yu-Wen Lee , Yu-Li Lee

We demonstrate that entangled electron-hole pairs can be produced and detected in a quantum spin Hall insulator with a constriction that allows for a weak inter-edge tunneling. A violation of a Bell inequality, which can be constructed in…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Koji Sato , Mircea Trif , Yaroslav Tserkovnyak