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Josephson junctions (JJs), where both time-reversal and inversion symmetry are broken, exhibit a phase shift $\phi_0$ in their current-phase relation. This allows for an anomalous supercurrent to flow in the junction even in the absence of…

Superconductivity · Physics 2022-01-11 Alberto Hijano , Stefan Ilić , F. Sebastián Bergeret

We present a detailed theoretical description of quantum coherent electron transport in voltage-biased cross-like Andreev interferometers. Making use of the charge conjugation symmetry encoded in the quasiclassical formalism, we elucidate a…

Superconductivity · Physics 2019-08-21 Pavel E. Dolgirev , Mikhail S. Kalenkov , Andrei E. Tarkhov , Andrei D. Zaikin

We present a theory of transport through interacting quantum dots coupled to normal and superconducting leads in the limit of weak tunnel coupling. A Josephson current between two superconducting leads, carried by first-order tunnel…

Superconductivity · Physics 2010-09-03 Marco G. Pala , Michele Governale , Jürgen König

Interference of edge channels is expected to be a prominent tool for studying statistics of charged quasiparticles in the quantum Hall effect (QHE) [A. Stern (2008), Ann. Phys. 1:204; C. Chamon et al. (1997), Phys. Rev. B, 55:2331]. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Nissim Ofek , Aveek Bid , Moty Heiblum , Ady Stern , Vladimir Umansky , Diana Mahalu

Particle-hole symmetry of the Bogoliubov-de~Gennes Hamiltonian is widely assumed to enforce bias-symmetric transport at superconducting interfaces. We show that this expectation fails generically for interfaces with finite spatial extent…

Superconductivity · Physics 2026-03-17 Vishal Tripathi , Goutam Sheet

We consider a Hamiltonian model for a quantum dot which is placed between two superconducting leads with a constant bias imposed between these leads. Using the non-equilibrium Keldysh technique, we focus on the subgap current, where it is…

Mesoscale and Nanoscale Physics · Physics 2009-12-02 Thibaut Jonckheere , Alex Zazunov , K. Bayandin , Vitaly Shumeiko , Thierry Martin

Proximity induced quantum coherence of electrons in multi-terminal voltage-driven hybrid normal-superconducting nanostructures may result in a non-trivial interplay between topology-dependent Josephson and Aharonov-Bohm effects. We…

Mesoscale and Nanoscale Physics · Physics 2020-05-05 Pavel E. Dolgirev , Mikhail S. Kalenkov , Andrei D. Zaikin

Spectra and spin structures of Andreev interface states and the Josephson current are investigated theoretically in junctions between clean superconductors (SC) with ordered interlayers. The Josephson current through the…

Superconductivity · Physics 2009-11-11 Yuri Barash , I. V. Bobkova , Brian M. Andersen , T. Kopp , P. J. Hirschfeld

Within the scattering approach, we develop a model for adiabatic quantum pumping in hybrid normal/superconductor systems where several superconducting leads are present. This is exploited to study Andreev-interference effects on…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Fabio Taddei , Michele Governale , Rosario Fazio

Using the extraordinary sensitivity of Andreev interferometers to the superconducting phase difference associated with currents, we measure the persistent current quantum states in superconducting loops interrupted by Josephson junctions.…

Superconductivity · Physics 2009-11-11 V. T. Petrashov , K. G. Chua , K. M. Marshall , R. Sh. Shaikhaidarov , J. T. Nicholls

Andreev reflection occurs in a normal metal-superconductor junction, when an electron on the normal side can only be transmitted as a Cooper pair in the superconductor, with the reflection of a hole on the normal side. A similar phenomenon…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 K. Iyer , T. Martin , J. Rech , T. Jonckheere

We analytically and numerically investigate an Aharonov-Bohm interferometer with two superconducting terminals and a strongly correlated quantum dot in one arm. Through a rigorous derivation, we prove that this double-path interferometer is…

Mesoscale and Nanoscale Physics · Physics 2026-03-09 Peter Zalom , Don Rolih , Rok Žitko

Quantum interferometers are powerful tools for probing the wave-nature and exchange statistics of indistinguishable particles. Of particular interest are interferometers formed by the chiral, one-dimensional (1D) edge channels of the…

We present a real-time diagrammatic theory for transport through interacting quantum dots tunnel coupled to normal and superconducting leads. Our formulation describes both the equilibrium and non-equilibrium superconducting proximity…

Superconductivity · Physics 2008-09-05 Michele Governale , Marco G. Pala , Jürgen König

We analyze the quantum interference effects appearing in the charge current through the double quantum dots coupled in T-shape configuration to an isotropic superconductor and metallic lead. Owing to proximity effect the quantum dots…

Strongly Correlated Electrons · Physics 2011-11-09 J. Baranski , T. Domanski

We compute the backscattered current in a double point-contact geometry of a Quantum Hall system at filling fraction $\nu=5/2$ as a function of bias voltage in the weak backscattering regime. We assume that the system is in the universality…

Strongly Correlated Electrons · Physics 2015-05-13 Waheb Bishara , Chetan Nayak

It has been predicted that the phase sensitive part of the current through a non-abelian $\nu = 5/2$ quantum Hall Fabry-Perot interferometer will depend on the number of localized charged $e/4$ quasiparticles (QPs) inside the interferometer…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Bernd Rosenow , Bertrand I. Halperin , Steven H. Simon , Ady Stern

We investigate a hybrid device consisting of two quantum dots placed between a BCS superconductor and a semiconductor with a strong spin-orbit interaction. Assuming charge tunneling between quantum dots through spin-flip processes, we study…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Bogdan R. Bułka , Tadeusz Domański , Karol I. Wysokiński

A quantum Hall interferometer containing a grounded superconducting terminal is proposed. This geometry allows to control the Andreev and normal scattering amplitudes of sub-gap Bogoliubov quasiparticles with the Aharonov-Bohm phase, as…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 Vadim Khrapai

We develop a detailed theory describing a non-trivial interplay between non-equilibrium effects and long-range quantum coherence in superconducting hybrid nanostructures exposed to a temperature gradient. We establish a direct relation…

Superconductivity · Physics 2021-04-05 Mikhail S. Kalenkov , Andrei D. Zaikin
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