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The Yu-Shiba-Rusinov (YSR) state appears as a bound state of a quasiparticle at a magnetic atom embedded in a superconductor. We discuss why the YSR state has energy below the superconducting gap and why the pair potential changes the sign…

Superconductivity · Physics 2022-10-07 Shu-Ichiro Suzuki , Takumi Sato , Yasuhiro Asano

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

We calculate the indirect charge carrier mediated Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities for two selected graphene nanoflakes containing four hexagonal rings in their structure, differing by their…

Mesoscale and Nanoscale Physics · Physics 2011-11-15 Karol Szałowski

We investigate the impact of topology on the existence of impurity subgap states in a time-reversal-invariant superconductor with an extended $s$-wave pairing and strong spin-orbit coupling. By simply tuning the chemical potential we access…

Superconductivity · Physics 2019-01-15 M. Mashkoori , A. G. Moghaddam , M. H. Hajibabaee , A. M. Black-Schaffer , F. Parhizgar

We report Electronic Raman Scattering measurements on optimally doped Zn and Ni substituted YBCO in A$_{1g}$ and B$_{1g}$ channels. We show that the superconducting gap energy is independant of magnetic Ni and non-magnetic Zn substitutions.…

Superconductivity · Physics 2007-05-23 M. Le Tacon , A. Sacuto , Y. Gallais , E. Sherman , A. Forget , D. Colson

We analyze the Ruderman-Kettel-Kasuya-Yosida(RKKY) interaction between magnetic impurities embedded in the helical metal on the surface of three-dimensional topological insulators. Apart from the conventional RKKY terms, the spin-momentum…

Materials Science · Physics 2015-05-18 Fei Ye , Guo-Hui Ding , Hui Zhai , Zhao-Bin Su

We study the subgap Yu-Shiba-Rusinov (YSR) states in the Richardson's model of a superconductor with a magnetic impurity for different electron pairing strengths from the weak-coupling Bardeen-Cooper-Schrieffer (BCS) regime to the…

Superconductivity · Physics 2022-08-31 Rok Žitko , Luka Pavešić

We showcase an erbium-doped whispering-gallery-mode resonator with optical modes that display intrinsic quality factors better than $10^8$ (linewidths less than 2 MHz), and coupling strengths to collective erbium transitions of up to…

Quantum Physics · Physics 2023-06-05 Li Ma , Luke S. Trainor , Gavin G. G. King , Harald G. L. Schwefel , Jevon J. Longdell

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

The hyperfine structure of the ground state of erbium doped yttrium orthosilicate is analyzed with the use of electron paramagnetic resonance experiments in a tunable microwave resonator. This work was prompted by the disagreement between…

In conventional superconductors, magnetic impurities form an impurity band due to quantum interference of the impurity bound states, leading to suppression of the superconducting transition temperature. Such quantum interference effects can…

Magnetic atoms on superconductors induce localized Yu-Shiba-Rusinov (YSR) bound states. The proposal that topological superconductivity and Majorana modes can be engineered in arrays of hybridizing YSR states has led to their intense…

We present a microwave-frequency method for measuring polar Kerr effect and spontaneous time-reversal symmetry breaking (TRSB) in unconventional superconductors. While this experiment is motivated by work performed in the near infrared…

Superconductivity · Physics 2025-11-18 T. Chouinard , D. M. Broun

We calculate the microwave spectra of ultracold KRb alkali metal dimers, including hyperfine interactions and in the presence of electric and magnetic fields. We show that microwave transitions may be used to transfer molecules between…

Chemical Physics · Physics 2015-05-13 J. Aldegunde , Hong Ran , Jeremy M. Hutson

By solving the renormalization of the $s$-$d$ interaction from magnetic impurities embeded in conventional superconductors at low concentration, we derive the macroscopic superconducting phase fluctuation and electromagnetic properties…

Superconductivity · Physics 2024-02-20 F. Yang , M. W. Wu

We propose and demonstrate a spatial partition method for the high-frequency photo-response of superconducting devices correlated with inductive and resistive changes in microwave impedance. Using a laser scanning microscope, we show that…

Superconductivity · Physics 2009-09-14 Alexander P. Zhuravel , Steven M. Anlage , Alexey V. Ustinov

We study theoretically a chain of precessing classical magnetic impurities in an $s$-wave superconductor. Utilizing a rotating wave description, we derive an effective Hamiltonian that describes the emergent Shiba band. We find that this…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Vardan Kaladzhyan , Pascal Simon , Mircea Trif

Significant research has recently been conducted into the Yu-Shiba-Rusinov (YSR) states in kagome superconductors through theoretical modeling and experimental investigations. However, additional efforts are still needed to further…

Superconductivity · Physics 2024-09-02 Shuaibo Ding , Yunfei Bai , A. A. Bulekov , Wenhui Zhang , A. A. Shanenko , Yajiang Chen

Chains of magnetic adatoms on superconductors have been discussed as promising systems for realizing Majorana end states. Here, we show that dilute Yu-Shiba-Rusinov (YSR) chains are also a versatile platform for quantum magnetism and…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Jacob F. Steiner , Christophe Mora , Katharina J. Franke , Felix von Oppen

Muon spin spectroscopy is one of the most powerful tools to investigate the microscopic properties of superconductors. In this manuscript, an overview on some of the main achievements obtained by this technique in the iron-based…

Superconductivity · Physics 2015-06-16 P. Carretta , R. De Renzi , G. Prando , S. Sanna
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