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We present a comprehensive theoretical framework for the Andreev bound state population dynamics in superconducting weak links. Contrary to previous works, our approach takes into account the generated nonequilibrium distribution of the…

Superconductivity · Physics 2015-06-22 A. Zazunov , A. Brunetti , A. Levy Yeyati , R. Egger

The Josephson effect describes the flow of supercurrent in a weak link, such as a tunnel junction, nanowire, or molecule, between two superconductors. It is the basis for a variety of circuits and devices, with applications ranging from…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 L. Bretheau , Ç. Ö. Girit , Hugues Pothier , D. Esteve , C. Urbina

We consider a general problem of a Josephson contact between two multiband superconductors with coexisting superconducting and magnetic phases. As a particular example, we use the quasiclassical theory of superconductivity to study the…

Strongly Correlated Electrons · Physics 2020-01-01 Ammar A. Kirmani , Maxim Dzero , Alex Levchenko

We analyse the full counting statistics (FCS) of a superconducting junction in non-equilibrium in the limit of small interface transparency. In this limit we treat both supercurrent and multiple Andreev reflections on equal footing and show…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 H. Soller

Quantum transport in the presence of time-dependent drives is dominated by quantum interference and many-body effects at low temperatures. For a periodic driving, the analysis of the full counting statistics revealed the elementary events…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Matthias Hübler , Wolfgang Belzig

We calculate analytically the current statistics for a short diffusive wire between the normal reservoir and a short superconductor-normal metal-superconductor (SNS) junction, at arbitrary applied voltages and temperatures. The…

Superconductivity · Physics 2009-11-10 E. V. Bezuglyi , E. N. Bratus' , V. S. Shumeiko , V. Vinokur

We have calculated all the components of the current in a short one-dimensional channel between two superconductors for arbitrary voltages and transparencies $D$ of the channel. We demonstrate that in the ballistic limit ($D\simeq 1$), the…

Condensed Matter · Physics 2009-10-28 D. AVERIN , A. BARDAS

We investigate the full counting statistics of a voltage-driven normal metal(N)-superconductor(S) contact. In the low-bias regime below the superconducting gap, the NS contact can be mapped onto a purely normal contact, albeit with doubled…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Wolfgang Belzig , Mihajlo Vanevic

The current flowing from a superconductor to a two-terminal setup describing a nanostructure connected to normal-metal leads is studied. We provide an example of scattering matrix giving ideal splitting off electrons from a Cooper pair by…

Superconductivity · Physics 2009-06-09 A. Bednorz , J. Tworzydło , J. Wróbel , T. Dietl

We present a theoretical analysis of the shot noise in d-wave/d-wave contacts with arbitrary transparency, including the contribution of multiple Andreev reflections. The multiple charge quanta transferred in these processes are revealed as…

Superconductivity · Physics 2009-11-07 J. C. Cuevas , M. Fogelstrom

We show that the statistics of electron transfer in a coherent quantum point contact driven by an arbitrary time-dependent voltage is composed of elementary events of two kinds: unidirectional one-electron transfers determining the average…

Mesoscale and Nanoscale Physics · Physics 2007-08-13 Mihajlo Vanevic , Yuli V. Nazarov , Wolfgang Belzig

We study the statistics of charge transport in a chaotic cavity attached to external reservoirs by two openings of different size which transmit non-equal number of quantum channels. An exact formula for the cumulant generating function has…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. M. Bulashenko

The multi-terminal Josephson effect allows DC supercurrent to flow at finite commensurate voltages. Existing proposals to realize this effect rely on nonlocal Andreev processes in superconductor-normal-superconductor junctions. However,…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 André Melo , Valla Fatemi , Anton R. Akhmerov

The generation and destruction of the supercurrent in a superconductor (S) between two resistive normal (N) current leads connected to a current source is computed from the source equation for the supercurrent density. This equation relates…

Superconductivity · Physics 2009-11-07 Arne Jacobs , Reiner Kümmel

Quasiparticle tunneling across a Josephson junction sets a limit for the lifetime of a superconducting qubit state. We develop a general theory of the corresponding decay rate in a qubit controlled by a magnetic flux. The flux affects…

Mesoscale and Nanoscale Physics · Physics 2011-06-07 G. Catelani , Jens Koch , L. Frunzio , R. J. Schoelkopf , M. H. Devoret , L. I. Glazman

We present a stochastic path integral method to calculate the full counting statistics of conductors with energy conserving dephasing probes and dissipative voltage probes. The approach is explained for the experimentally important case of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Pilgram , P. Samuelsson , H. Forster , M. Buttiker

We analyse the zero temperature Full Counting Statistics (FCS) for the charge transfer across a biased tunnel junction. We find the FCS from the eigenvalues of the density matrix of outgoing states of one lead. In the general case of a…

Mesoscale and Nanoscale Physics · Physics 2011-08-23 Jin Zhang , Y. Sherkunov , N. d'Ambrumenil , B. Muzykantskii

We present a theory of the current-voltage characteristics in diffusive superconductor-normal-metal-superconductor junctions. By solving the time-dependent Usadel equations we are able to describe the phase-coherent transport for arbitrary…

Superconductivity · Physics 2009-11-11 J. C. Cuevas , J. Hammer , J. Kopu , J. K. Viljas , M. Eschrig

In quantum transport through nanoscale devices, fluctuations arise from various sources: the discreteness of charge carriers, the statistical non-equilibrium that is required for device operation, and unavoidable quantum uncertainty. As…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Samuel L. Rudge , Daniel S. Kosov

We use a hybrid superconductor-semiconductor transmon device to perform spectroscopy of a quantum dot Josephson junction tuned to be in a spin-1/2 ground state with an unpaired quasiparticle. Due to spin-orbit coupling, we resolve two…