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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 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.…

We use the numerical renormalization group theory to investigate the Yu-Shiba-Rusinov (YSR) bound state properties of single magnetic molecules placed in an s-wave superconducting substrate. The molecule consist of a large core spin and a…

Strongly Correlated Electrons · Physics 2020-08-26 Saurabh Pradhan , Jonas Fransson

Superconductor-ferromagnetic heterostructures have been suggested as one of the most promising alternatives of realizing odd-frequency superconductivity. In this work we consider the limit of shrinking the ferromagnetic region to the limit…

Superconductivity · Physics 2020-03-11 Dushko Kuzmanovski , Rubén Seoane Souto , Alexander V. Balatsky

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

Recent studies of mutually interacting magnetic atoms coupled to a superconductor have gained enormous interest due to the potential realization of topological superconductivity. The Kondo exchange coupling J_K of such atoms with the…

Local spins coupled to superconductors give rise to several emerging phenomena directly linked to the competition between Cooper pair formation and magnetic exchange. These effects are generally scrutinized using a spectroscopic approach…

Magnetic adatoms on superconductors induce Yu-Shiba-Rusinov (YSR) states, which are key to the design of low-dimensional correlated systems and topological superconductivity. Competing magnetic interactions and superconducting pairing lead…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Lisa M. Rütten , Harald Schmid , Werner M. J. van Weerdenburg , Eva Liebhaber , Kai Rossnagel , Katharina J. Franke

Magnetic atoms can break the Cooper pairs of superconductors, leading to the formation of Yu-Shiba-Rusinov (YSR) bound states inside superconducting gaps. Theory predicts that the YSR bound states can be controlled by tuning the electron…

Superconductivity · Physics 2021-06-30 Sang Yong Song , Yoon Sung Park , Yongchan Jeong , Min-Seok Kim , Ki-Seok Kim , Jungpil Seo

Yu-Shiba-Rusinov (YSR) states arise as sub-gap excitations of a magnetic impurity in a superconducting host. Taking into account the quantum nature of the impurity spin in a single-site approximation, we study the spectral properties of the…

Superconductivity · Physics 2023-06-28 A. Skurativska , J. Ortuzar , D. Bercioux , F. S. Bergeret , M. A. Cazalilla

We predict that the occurence of zero energy Yu-Shiba-Rusinov(YSR) bound states in two different setups, metal-spin flipper-metal-s-wave superconductor ($N_{1}-sf-N_{2}-S$) and superconductor-metal-spin flipper-metal-superconductor…

Superconductivity · Physics 2024-12-17 Subhajit Pal , Colin Benjamin

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

Magnetic impurities have a dramatic effect on superconductivity by breaking the time-reversal symmetry and inducing so-called Yu-Shiba-Rusinov (YSR) low energy bound states within the superconducting gap. The spatial extent of YSR states is…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Shawulienu Kezilebieke , Marc Dvorak , Teemu Ojanen , Peter Liljeroth

An impurity hosting a magnetic moment coupled to a conventional $s$-wave superconductor gives rise to so-called Yu-Shiba-Rusinov (YSR) states with energies inside the superconducting gap. Depending on the coupling between the impurity and…

Superconductivity · Physics 2026-02-10 Andreas Theiler , Christian R. Ast , Annica M. Black-Schaffer

An unusual form of superconductivity, called Ising superconductivity, has recently been uncovered in mono- and few-layered transition metal dichalcogenides. This 2D superconducting state is characterized by the so-called Ising spin-orbit…

Strongly Correlated Electrons · Physics 2024-02-20 Gargee Sharma , Sumanta Tewari

Yu-Shiba-Rusinov (YSR) bound states appear when a magnetic atom interacts with a superconductor. Here, we report on spin-resolved spectroscopic studies of YSR states related with Fe atoms deposited on the surface of the topological…

Superconductivity · Physics 2021-02-24 Dongfei Wang , Jens Wiebe , Ruidan Zhong , Genda Gu , Roland Wiesendanger

Motivated by recent experiments, which allow for fine tuning of the effective magnetic interaction between the impurity and the superconductor, we investigate the regime around the quantum phase transition where the system's ground state…

Superconductivity · Physics 2025-10-30 Andreas Theiler , Christian R. Ast , Annica M. Black-Schaffer

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

We discuss odd-frequency Cooper pairs appearing in two-band superconductors by solving the Gor'kov equation analytically. We introduce the equal-time $s$-wave pair potentials as realized in MgB$_2$ and iron pnictides. Although the order…

Superconductivity · Physics 2020-07-21 Yasuhiro Asano , Akihiro Sasaki

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
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