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The hybridization of Yu-Shiba-Rusinov states in dimers of magnetic impurities leads to molecular-like bonding and antibonding modes. In many-impurity systems, the interaction gives rise to YSR bands and can even result in the formation of a…

Superconductivity · Physics 2023-02-03 Felix Friedrich , Robin Boshuis , Matthias Bode , Artem Odobesko

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

We consider theoretically tunneling characteristic of a junction between a normal metal and a chain of coupled Majorana bound states generated at crossings between topological and non-topological superconducting sections, as a result of,…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Karsten Flensberg

We investigate charge and spin conductance, charge and spin quantum noise, along with charge and spin $\Delta_T$ noise, as diagnostic tools to distinguish Yu-Shiba-Rusinov (YSR) states from Majorana-bound states (MBS) in a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Sachiraj Mishra , Colin Benjamin

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

Magnetic atoms on a superconductor give rise to Yu-Shiba-Rusinov (YSR) states within the superconducting energy gap. A spin chain of magnetic adatoms on an s-wave superconductor may lead to topological superconductivity accompanied by the…

Superconductivity · Physics 2018-08-15 Anand Kamlapure , Lasse Cornils , Jens Wiebe , Roland Wiesendanger

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

In superconductors, magnetic impurities induce a pair-breaking potential for Cooper pairs, which locally affects the Bogoliubov quasiparticles and gives rise to Yu-Shiba-Rusinov (YSR or Shiba, in short) bound states in the density of states…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Benjamin W. Heinrich , Jose I. Pascual , Katharina J. Franke

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.…

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

Novel many-body and topological electronic phases can be created in assemblies of interacting spins coupled to a superconductor, such as one-dimensional topological superconductors with Majorana zero modes (MZMs) at their ends.…

We study a chain of magnetic moments exchange coupled to a conventional three dimensional superconductor. In the normal state the chain orders into a collinear configuration, while in the superconducting phase we find that ferromagnetism is…

Superconductivity · Physics 2016-04-27 M. Schecter , K. Flensberg , M. H. Christensen , B. M. Andersen , J. Paaske

A single static magnetic impurity in a fully-gapped superconductor leads to formation of an intragap quasiparticle bound state. At temperatures much below the superconducting transition, the energy relaxation and spin dephasing of the state…

Strongly Correlated Electrons · Physics 2014-10-01 Ivar Martin , Dmitry Mozyrsky

We study charge transport of a topological superconductor connected to different electromagnetic environments using a low-energy description where only the Majorana bound states in the superconductor are included. Extending earlier findings…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Konrad Wölms , Karsten Flensberg

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

We develop a theory of the tunneling spectroscopy for superconducting topological insulators (STIs), where the surface Andreev bound states (SABSs) appear as helical Majorana fermions. Based on the symmetry and topological nature of parent…

Superconductivity · Physics 2012-05-29 Ai Yamakage , Keiji Yada , Masatoshi Sato , Yukio Tanaka

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 theoretically investigate electronic transport through a junction where a quantum dot (QD) is tunnel coupled on both sides to semiconductor nanowires with strong spin-orbit interaction and proximity-induced superconductivity. The results…

Superconductivity · Physics 2014-12-09 Guang-Yao Huang , Martin Leijnse , Karsten Flensberg , Hongqi Xu

The nature of the superconducting state in two-dimensional transition-metal dichalcogenides remains under active debate. A widely used description invokes so-called Ising superconductivity. In this work, we investigate theoretically this…

Superconductivity · Physics 2026-05-14 Michael Hein , Juan Carlos Cuevas , Wolfgang Belzig