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Magnetic atoms coupled to the Cooper pairs of a superconductor induce Yu-Shiba-Rusinov states (in short Shiba states). In the presence of sufficiently strong spin-orbit coupling, the bands formed by hybridization of the Shiba states in…

We propose a model for resonant Josephson tunneling through quantum dots that accounts for Cooper pair-breaking processes in the superconducting leads caused by a magnetic field or spin-flip scattering. The pair-breaking effect on the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Grygoriy Tkachov , Klaus Richter

Spin singlet superconductors with quasi-two dimensional multilayer structure are studied in high magnetic fields. Specifically we concentrate on bi- and tri-layer systems whose layers by symmetry are subject Rashba-type spin-orbit coupling.…

Superconductivity · Physics 2015-06-11 Tomohiro Yoshida , Manfred Sigrist , Youichi Yanase

The possible existence of a sign-changing gap symmetry in BaFe$_{2}$As$_{2}$-derived superconductors (SC) has been an exciting topic of research in the last few years. To further investigate this subject we combine Electron Spin Resonance…

We show that odd-parity superconductivity occurs in multilayer Rashba systems without requiring spin-triplet Cooper pairs. A pairing interaction in the spin-singlet channel stabilizes the odd-parity pair-density-wave (PDW) state in the…

Superconductivity · Physics 2015-10-29 Tatsuya Watanabe , Tomohiro Yoshida , Youichi Yanase

The coupling of a spin to an underlying substrate is the basis for a plethora of phenomena. In the case of a metallic substrate, Kondo screening of the adatom magnetic moment can occur. As the substrate turns superconducting, an intriguing…

Superconductivity · Physics 2020-11-18 Artem Odobesko , D. Di Sante , A. Kowalski , S. Wilfert , F. Friedrich , R. Thomale , G. Sangiovanni , M. Bode

The superconducting state of Sr$_2$RuO$_4$ was once thought to be a leading candidate for $p$-wave superconductivity. A constant Knight shift below the transition temperature provided evidence for spin-triplet pairing, and a $\pi$ phase…

Superconductivity · Physics 2023-01-12 Austin W. Lindquist , Hae-Young Kee

A growing body of literature suggests that odd-frequency superconducting pair amplitudes can be generated in normal metal-superconductor junctions. The emergence of odd-frequency pairing in these systems is often attributed to the breaking…

Superconductivity · Physics 2019-10-22 Christopher Triola , Annica M. Black-Schaffer

Quantum condensed states in solids often reveal their fundamental nature via interactions with impurities, as epitomized by Yu-Shiba-Rusinov (YSR) bound states at magnetic impurities in superconductors. Although analogous YSR bound states…

Strongly Correlated Electrons · Physics 2026-01-01 SeongJin Kwon , Kyung-Hwan Jin , Jong Eun Han , Siwon Lee , ChoongJae Won , Sang-Wook Cheong , Han Woong Yeom

Magnetic impurities on a superconductor induce sub-gap Yu-Shiba-Rusinov (YSR) bound states, localized at the impurity site and fading away from it for distances up to several nanometers. In this article, we present a theoretical method to…

We discuss the instability of uniform superconducting states that contain the pairing correlations belonging to the odd-frequency symmetry class. The instability originates from the paramagnetic response of odd-frequency Cooper pairs and is…

Superconductivity · Physics 2024-10-17 Takumi Sato , Shingo Kobayashi , Yasuhiro Asano

Understanding the interplay between individual magnetic impurities and superconductivity is crucial for bottom-up construction of novel phases of matter. For decades, the description by Yu, Shiba and Rusinov (YSR) of single spins in a…

Superconductivity · Physics 2025-02-20 M. Uldemolins , A. Mesaros , G. D. Gu , A. Palacio-Morales , M. Aprili , P. Simon , F. Massee

We discuss the class of superconductors which have pairing correlations which are odd in frequency, as introduced originally by Berezinskii and more recently by Balatsky and Abrahams. As follows from the equations of motion, a natural…

Condensed Matter · Physics 2016-08-31 Elihu Abrahams , A. V. Balatsky , D. J. Scalapino , J. R. Schrieffer

The theory of superconductivity developed by Bardeen, Cooper and Schrieffer (BCS) explains the stabilization of electron pairs into a spin-singlet, even frequency, state by the formation of an energy gap within which the density of states…

We study the behavior of Cooper pair amplitudes that emerge when a two-dimensional superconductor is coupled to two parallel nanowires, focusing on the conditions for realizing odd-frequency pair amplitudes in the absence of spin-orbit…

Superconductivity · Physics 2019-07-24 Christopher Triola , Annica M. Black-Schaffer

The pair breaking potential of individual magnetic impurities in s-wave superconductors generates localized states inside the superconducting gap commonly referred to as Yu- Shiba-Rusinov (YSR) states whose isolated nature makes them ideal…

We use magnetic long range order as a tool to probe the Cooper pair wave function in the iron arsenide superconductors. We show theoretically that antiferromagnetism and superconductivity can coexist in these materials only if Cooper pairs…

Magnetic adatoms on superconductors give rise to Yu-Shiba-Rusinov (YSR) states that hold considerable interest for the design of topological superconductivity. Here, we show that YSR states are also an ideal platform to engineer structures…

We obtain the general conditions for the emergence of odd-frequency superconducting pairing in a two-dimensional (2D) electronic system proximity-coupled to a superconductor, making minimal assumptions about both the 2D system and the…

Mesoscale and Nanoscale Physics · Physics 2016-07-08 Christopher Triola , Driss M. Badiane , Alexander V. Balatsky , E. Rossi

Cooper pairs in two-dimensional unconventional superconductors with broken inversion symmetry are in a mixture of an even-parity spin-singlet pairing state with an odd-parity spin-triplet pairing state. We study the magnetic properties of…

Superconductivity · Physics 2016-06-29 Vardan Kaladzhyan , Cristina Bena , Pascal Simon