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Superconductivity is a quantum phenomena arising, in its simplest form, from pairing of fermions with opposite spin into a state with zero net momentum. Whether superconductivity can occur in fermionic systems with unequal number of two…

Superconductivity · Physics 2015-06-22 H. Mayaffre , S. Kramer , M. Horvatić , C. Berthier , K. Miyagawa , K. Kanoda , V. F. Mitrović

The problem of Andreev reflection between a normal metal and a multiband superconductor is addressed. The appropriate matching conditions for the wave function at the interface are established on the basis of an extension of quantum…

Superconductivity · Physics 2009-05-29 M. A. N. Araujo , P. D. Sacramento

The formation of bound states at surfaces of materials with an energy gap in the bulk electron spectrum is a well known physical phenomenon. At superconductor surfaces, quasiparticles with energies inside the superconducting gap $\Delta$…

Superconductivity · Physics 2009-11-07 T. Lofwander , V. S. Shumeiko , G. Wendin

We have found experimentally that the noise of ballistic electron transport in a superconductor/semiconductor/superconductor junction is enhanced relative to the value given by the general relation, S_V=2eIR^2coth(eV/2kT), for two voltage…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. E. Camino , V. V. Kuznetsov , E. E. Mendez , Th. Schaepers , V. A. Guzenko , H. Hardtdegen

Hybrid superconductor-semiconducting nanowire devices provide an ideal platform to investigating novel intragap bound states, such as the Andreev bound states (ABSs), Yu-Shiba-Rusinov (YSR) states, and the Majorana bound states. The…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 S. Li , N. Kang , P. Caroff , H. Q. Xu

We investigate the conductance through and the spectrum of ballistic chaotic quantum dots attached to two s-wave superconductors, as a function of the phase difference $\phi$ between the two order parameters. A combination of analytical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. C. Goorden , Ph. Jacquod , J. Weiss

We have measured the effect of microwave irradiation on the dc current-voltage characteristics of superconducting atomic contacts. The interaction of the external field with the ac supercurrents leads to replicas of the supercurrent peak,…

Mesoscale and Nanoscale Physics · Physics 2007-08-30 M. Chauvin , P. Vom Stein , H. Pothier , P. Joyez , M. E. Huber , D. Esteve , C. Urbina

We express the low-frequency shot noise in a disordered normal-metal - superconductor (NS) junction at finite (subgap) voltage in terms of the normal scattering amplitudes and the Andreev reflection amplitude. In the multichannel limit, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. L. Fauchere , G. B. Lesovik , G. Blatter

We use a superconducting microresonator as a cavity to sense absorption of microwaves by a superconducting quantum point contact defined by surface gates over a proximitized two-dimensional electron gas. Renormalization of the cavity…

In superconductor-normal-superconductor (SNS) junctions, dissipationless supercurrent is mediated via Andreev bound states (ABSs) controlled by the phase difference between the two superconductors. Theory has long predicted significant…

Mesoscale and Nanoscale Physics · Physics 2022-08-09 Ziwei Dou , Xavier Ballu , Quan Dong , Yong Jin , Richard Deblock , Sandrine Autier-Laurent , Sophie Guéron , Hélène Bouchiat , Meydi Ferrier

In this article we review the state of the art on the transport properties of quantum dot systems connected to superconducting and normal electrodes. The review is mainly focused on the theoretical achievements although a summary of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 A. Martin-Rodero , A. Levy Yeyati

The supercurrent of a quantum point contact coupled to a nanomagnet strongly depends on the dynamics of the nanomagnet's spin. We employ a fully microscopic model to calculate the transport properties of a junction coupled to a spin whose…

Superconductivity · Physics 2015-06-04 C. Holmqvist , W. Belzig , M. Fogelström

We study the in-gap states of the quantum dot hybridized to a conducting and superconducting electrode. The usual proximity effect suppresses electronic states over the entire subgap regime $|\omega| < \Delta$, where $\Delta$ denotes the…

Mesoscale and Nanoscale Physics · Physics 2013-10-14 J. Baranski , T. Domanski

We show that placing a quantum system in contact with an environment can enhance non-Fermi-liquid correlations, rather than destroy quantum effects as is typical. The system consists of two quantum dots in series with two leads; the highly…

Strongly Correlated Electrons · Physics 2017-02-09 Gu Zhang , Eduardo Novais , Harold U. Baranger

We have studied the Kondo quantum dot coupled to two superconducting leads and investigated the subgap Andreev states using the NRG method. Contrary to the recent NCA results [Clerk and Ambegaokar, Phys. Rev. B 61, 9109 (2000); Sellier et…

Mesoscale and Nanoscale Physics · Physics 2008-09-24 Jong Soo Lim , Mahn-Soo Choi

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…

Andreev reflection-where an electron in a normal metal backscatters off a superconductor into a hole-forms the basis of low energy transport through superconducting junctions. Andreev reflection in confined regions gives rise to discrete…

A quantum dot coupled to a superconducting contact provides a tunable artificial analogue of a magnetic atom in a superconductor, a paradigmatic quantum impurity problem. We realize such a system with an InAs semiconductor nanowire…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Eduardo J. H. Lee , Xiaocheng Jiang , Rok Zitko , Ramon Aguado , Charles M. Lieber , Silvano De Franceschi

We study the fermionic boundary modes (Andreev bound states) in a time-reversal invariant one-dimensional superconductor. In the presence of a substrate, spatial inversion symmetry is broken and the electronic properties are strongly…

Superconductivity · Physics 2017-02-15 K. V. Samokhin

We present detailed theory for Andreev level qubit, the system consisting of a highly transmissive quantum point contact embedded in a superconducting loop. The two-level Hamiltonian for Andreev levels interacting with quantum phase…

Superconductivity · Physics 2009-11-10 A. Zazunov , V. S. Shumeiko , G. Wendin , E. N. Bratus'