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We study the effects of a phase difference on Yu-Shiba-Rusinov (YSR) states in a spinful Coulomb-blockaded quantum dot contacted by a superconducting loop. In the limit where charging energy is larger than the superconducting gap, we…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Gediminas Kiršanskas , Moshe Goldstein , Karsten Flensberg , Leonid I. Glazman , Jens Paaske

Very recent experiments have reported the tunneling between Yu-Shiba-Rusinov (YSR) bound states at the atomic scale. These experiments have been realized with the help of a scanning tunneling microscope where a superconducting tip is…

Superconductivity · Physics 2024-01-09 A. Villas , R. L. Klees , G. Morrás , H. Huang , C. R. Ast , G. Rastelli , W. Belzig , J. C. Cuevas

We study the sub-gap spectrum and the transport properties of a double quantum dot coupled to metallic and superconducting leads. The coupling of both quantum dots to the superconducting lead induces a non-local pairing in both quantum dots…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 G. Górski , K. Kucab

A magnetic impurity coupled to a superconductor gives rise to a Yu-Shiba-Rusinov (YSR) state inside the superconducting energy gap. With increasing exchange coupling the excitation energy of this state eventually crosses zero and the system…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 K. Grove-Rasmussen , G. Steffensen , A. Jellinggaard , M. H. Madsen , R. Žitko , J. Paaske , J. Nygård

Motivated by recent scanning tunneling microscopy experiments on single magnetic impurities on superconducting surfaces, we present here a comprehensive theoretical study of the interplay between Yu-Shiba-Rusinov bound states and (multiple)…

Semiconductor quantum dots in close proximity to superconductors may provoke localized bound states within the superconducting energy gap known as Yu-Shiba-Rusinov (YSR) state, which is a promising candidate for constructing Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Jia-Ning Wang , Yong-Chen Xiong , Wang-Huai Zhou , Tan Peng , Ziyu Wang

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…

The local magnetic moment of an interacting quantum dot occupied by a single electron can be screened by binding a Bogoliubov quasiparticle from a nearby superconductor. This gives rise to a long-lived discrete spin-singlet state inside the…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Luka Pavešić , Rok Žitko

Despite plenty of room at the bottom, there is a limit to the miniaturization of every process. For charge transport this is realized by the coupling of single discrete energy levels at the atomic scale. Here, we demonstrate sequential…

We study subgap transport from a superconductor through a double quantum dot with large on-site Coulomb repulsion to two normal leads. Non-local superconducting correlations in the double dot are induced by the proximity to the…

Mesoscale and Nanoscale Physics · Physics 2010-11-08 James Eldridge , Marco G. Pala , Michele Governale , Jürgen König

We present transport spectroscopy of sub-gap states in a bottom gated InAs nanowire coupled to a normal lead and a superconducting aluminium lead. The device shows clearly resolved sub-gap states which we can track as the coupling…

We study resonant transport through a superconducting double barrier structure. At each barrier, due to the proximity effect, an incident electron can either reflect as an electron or a hole (Andreev reflection). Similarly, transport across…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Arijit Kundu , Sumathi Rao , Arijit Saha

The exchange scattering at magnetic adsorbates on superconductors gives rise to Yu-Shiba-Rusinov (YSR) bound states. Depending on the strength of the exchange coupling, the magnetic moment perturbs the Cooper pair condensate only weakly,…

We investigate sub-gap transport through a single-level quantum dot tunnel coupled to one superconducting and two normal-conducting leads. Despite the tendency of a large charging energy to suppress the equilibrium proximity effect, a…

Superconductivity · Physics 2009-02-12 David Futterer , Michele Governale , Marco G. Pala , Jürgen König

We study coherent transport and bound-state formation of Bogoliubov quasiparticles in a high-mobility In$_{0.75}%$Ga$_{0.25}$As two-dimensional electron gas (2DEG) coupled to a superconducting Nb electrode by means of a quantum point…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Hiroshi Irie , Clemens Todt , Norio Kumada , Yuichi Harada , Hiroki Sugiyama , Tatsushi Akazaki , Koji Muraki

A magnetic impurity on a superconductor induces Yu-Shiba-Rusinov (YSR) bound states, detected by tunneling spectroscopy as long-lived quasiparticle excitations inside the superconducting gap. Coupled YSR states constitute basic elements to…

Mesoscale and Nanoscale Physics · Physics 2021-02-12 Carmen Rubio-Verdú , Javier Zaldívar , Rok Žitko , Jose Ignacio Pascual

We demonstrate several new electron transport phenomena mediated by Andreev bound states (ABSs) that form on three-terminal carbon nanotube (CNT) QDs, with one superconducting (S) contact in the center and two adjacent normal metal (N)…

Mesoscale and Nanoscale Physics · Physics 2017-11-10 J. Gramich , A. Baumgartner , C. Schönenberger

A Yu-Shiba-Rusinov (YSR) state is a localized in-gap state induced by a magnetic impurity in a superconductor. Recent experiments used an STM tip to manipulate the exchange coupling between an Fe adatom and the ${\rm FeTe}_{0.55}{\rm…

Superconductivity · Physics 2022-06-09 Ching-Kai Chiu , Ziqiang Wang

The strong coupling of a superconductor to a spinful quantum dot results in Yu-Shiba-Rusinov (YSR) discrete subgap excitations. In isolation and at zero temperature, the excitations are $\delta$ resonances. In transport experiments,…

The magnetic exchange coupling between magnetic impurities and a superconductor induce so-called Yu-Shiba-Rusinov (YSR) states which undergo a quantum phase transition (QPT) upon increasing the exchange interaction beyond a critical value.…

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