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The low-energy quasiparticle states of a disordered d-wave superconductor are investigated theoretically. A class of such states, formed via tunneling between the Andreev bound states that are localized around extended impurities (and…

Superconductivity · Physics 2009-11-07 Inanc Adagideli , Daniel E. Sheehy , Paul M. Goldbart

We study a single impurity effect on the local density of states in a d-wave superconductor accounting for the momentum-dependent impurity potential. We show that the anisotropy of the scattering potential can alter significantly the…

Superconductivity · Physics 2015-06-24 P. Pisarski , G. Haran

We review recent developments in our understanding of how impurities influence the electronic states in the bulk of superconductors. Our focus is on the quasi-localized states in the vicinity of impurity sites in conventional and…

Superconductivity · Physics 2007-05-23 A. V. Balatsky , I. Vekhter , Jian-Xin Zhu

The structure of the order parameter and the excitation spectrum are investigated for isolated impurities in d-wave superconductors. Atomic scale impurities, or defects, scatter quasiparticles and lead to local suppression (pair-breaking)…

Superconductivity · Physics 2024-10-24 D. C. Chen , D. Rainer , J. A. Sauls

In d$_{x^2-y^2}$-wave superconductors, the effect of s-wave point disorder has been extensively studied in the literature. In this work, we study the anisotropic disorder with a the form of $V_{kk'}^{\rm imp}=V_if_kf_{k'}$ with…

Superconductivity · Physics 2023-06-16 Ze-Long Wang , Rui-Ying Mao , Da Wang , Qiang-Hua Wang

When subject to a weak magnetic impurity distribution, the order parameter and quasi-particle energy gap of a weakly disordered bulk s-wave superconductor are suppressed. In the Born scattering limit, recent investigations have shown that…

Superconductivity · Physics 2009-11-07 Francesca M. Marchetti , B. D. Simons

The absence of localization of impurity-induced low-energy quasiparticle states in a two-dimensional $d$-wave superconductor is argued for any amount of disorder in the limit of unitary scatterers. This surprising result follows from the…

Condensed Matter · Physics 2009-10-28 A. V. Balatsky , M. I. Salkola

We discuss the effect of an anisotropic impurity potential on the critical temperature, local density of states in the vicinity of a single impurity, and the quasiparticle density of states for a finite impurity concentration in a d-wave…

Superconductivity · Physics 2009-11-10 A. Maciag , P. Pisarski , G. Haran

We examine the effect of a single, non-magnetic impurity in a multiband, extended s-wave superconductor allowing for anisotropy of the gaps on the Fermi surfaces. We derive analytic expressions for the Green's functions in the continuum and…

Superconductivity · Physics 2015-06-11 R. Beaird , I. Vekhter , Jian-Xin Zhu

We contrast the effects of non-magnetic impurities on the properties of superconductors having a \dw\ order parameter, and a highly anisotropic s-wave (ASW) gap with the same nodal structure. The non-vanishing, impurity induced,…

Condensed Matter · Physics 2009-10-22 R. Fehrenbacher , M. R. Norman

We calculate the density of states of an inhomogeneous superconductor in a magnetic field where the positions of vortices are distributed completely at random. We consider both the cases of s-wave and d-wave pairing. For both pairing…

Superconductivity · Physics 2007-05-23 J. Lages , P. D. Sacramento , Z. Tesanovic

A new method is proposed for practical calculation of the effective interaction between impurity scatterers in superconductors, based on algebraic properties of related Nambu matrices for Green functions. In particular, we show that the…

Superconductivity · Physics 2009-11-10 Yu. G. Pogorelov , V. M. Loktev

Physical properties of anisotropic superconductors like the critical temperature and others depend sensitively on the electron mean free path. The sensitivity to impurity scattering and the resulting anomalies are considered a…

Superconductivity · Physics 2016-08-15 M. L. Kulić , O. V. Dolgov

The sign-reversing fully gapped superconducting state, which is expected to be realized in oxypnictide superconductors, can be prominently affected by nonmagnetic impurities due to the interband scattering of Cooper pairs. We study this…

Superconductivity · Physics 2009-11-13 Yuko Senga , Hiroshi Kontani

Andreev bound states can occur at single impurities in superconductors if the impurities suppress superconductivity for a given system. In particular, well-known Yu-Shiba-Rusinov states occur at magnetic impurities in conventional s-wave…

Superconductivity · Physics 2025-10-30 G. A. Bobkov , I. V. Bobkova , A. M. Bobkov

We study Andreev states near atomic scale modulations in the pairing potential in both $s$- and d-wave superconductors with short coherence lengths. For a moderate reduction of the local gap, the states exist only close to the gap edge. If…

Superconductivity · Physics 2009-11-11 Brian M. Andersen , Ashot Melikyan , Tamara S. Nunner , P. J. Hirschfeld

Magnetic superconductors define a broad class of strongly correlated materials in which superconductivity may coexist with either localized or itinerant long-range magnetic order. In this work we consider a multiband model of a disordered…

Superconductivity · Physics 2022-12-02 Maxim Dzero , Alex Levchenko

Impurities with the pronounced forward scattering (FS impurities) change analytical properties of the quasiparticle Green's function substantially compared to the isotropic scattering. By assuming that the superconducting pairing is due to…

Superconductivity · Physics 2007-05-23 O. V. Danylenko , O. V. Dolgov , M. L. Kulic , V. Oudovenko

We analyse the behavior of the density of states in a singlet s-wave superconductor with weak magnetic impurities in the clean limit. By using the method of optimal fluctuation and treating the order parameter self-consistently we show that…

Superconductivity · Physics 2009-11-07 A. V. Shytov , I. Vekhter , I. A. Gruzberg , A. V. Balatsky

We theoretically study the appearance of bound states around impurities in a superconducting bilayer. We focus our attention on $s$-wave pairing, which includes unconventional odd-parity states permitted by the layer degree of freedom.…

Superconductivity · Physics 2023-04-20 Yufei Zhu , Nico A. Hackner , P. M. R. Brydon
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