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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 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 consider an atomic chain of magnetic impurities on the surface of a spin-orbit coupled superconductor with a dominating $d$-wave and sub-dominating $s$-wave order parameters. In particular, we investigate the properties of the Majorana…

Superconductivity · Physics 2019-01-16 Mahdi Mashkoori , Annica Black-Schaffer

It is shown that a single, strongly scattering impurity produces a bound or a virtual bound quasiparticle state inside the gap in a $d$-wave superconductor. The explicit form of the bound state wave function is found to decay exponentially…

Condensed Matter · Physics 2009-10-22 A. V. Balatsky , M. I. Salkola , A. Rosengren

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…

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

We solve the problem of a magnetic impurity in a $d_{x^2-y^2}$-wave superconductor by a variational method. A moment is found to exist in the superconducting state only if the Kondo-temperature in the normal state is larger than the maximum…

Superconductivity · Physics 2009-10-31 M. E. Simon , C. M. Varma

Measurements of the local density of states near impurities can be useful for identifying the superconducting gap structure in alkali doped iron chalcogenide superconductors K_xFe_{2-y}Se_2. Here, we study the effects of nonmagnetic and…

Superconductivity · Physics 2013-10-15 Shantanu Mukherjee , Maria N. Gastiasoro , Brian M. Andersen

We theoretically study bound states generated by magnetic impurities within conventional $s$-wave superconductors, both analytically and numerically. In determining the effect of the hybridization of two such bound states on the energy…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Silas Hoffman , Jelena Klinovaja , Tobias Meng , Daniel Loss

Recently Chakravarty {\em et al.} proposed an ordered $d$-density wave (DDW) state as an explanation of the pseudogap phase in underdoped high-temperature cuprates. We study the competition between the DDW and superconducting ordering based…

Superconductivity · Physics 2009-11-07 Jian-Xin Zhu , Wonkee Kim , C. S. Ting , J. P. Carbotte

Non-magnetic impurities are known as strong pair breakers in superconductors with pure d-wave pairing symmetry. Here we discuss d-wave states under the combined influence of impurities and competing instabilities, such as pairing in a…

Superconductivity · Physics 2009-11-10 Serge Florens , Matthias Vojta

We investigate the impurity resonant state induced by non-magnetic impurities in d-wave cuprate superconductors in two different impurity models: (i) in a pure potential scattering model within the T-matrix approach and (ii) in a Bose-Fermi…

Strongly Correlated Electrons · Physics 2009-11-13 Marijana Kircan

We investigate the effect of magnetic impurities on the local quasiparticle density of states (LDOS) in iron-based superconductors. Employing the two-orbital model where 3$d$ electron and hole conduction bands are hybridizing with the…

Superconductivity · Physics 2010-01-26 Alireza Akbari , Ilya Eremin , Peter Thalmeier

We study the electronic structure near impurities in the d-density-wave (DDW) state, a possible candidate phase for the pseudo-gap region of the high-temperature superconductors. We show that the local DOS near a non-magnetic impurity in…

Strongly Correlated Electrons · Physics 2009-11-07 Dirk K. Morr

Two scenarios, i.e., the anisotropic s-wave pairing (the s-wave scenario) and the d-wave pairing coexisting with antiferromagnetism (the coexisting scenario) have been introduced to understand some of seemingly s-wave like behaviors in…

Superconductivity · Physics 2009-11-13 Yuan Wan , Hai-Dong Lv , Hong-Yan Lu , Qiang-Hua Wang

Heterostructures allow the realization of electronic states that are difficult to obtain in isolated systems. Exemplary is the case of quasi-one-dimensional heterostructures formed by a superconductor and a semiconductor with spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 Dong E. Liu , Enrico Rossi , Roman M. Lutchyn

We consider the superconducting state of $d+s$ symmetry with finite concentration of Anderson impurities in the limit $\Delta_s/\Delta_d \ll 1$. The model consists of a BCS-like term in the Hamiltonian and the Anderson impurity treated in…

Superconductivity · Physics 2010-12-20 L. S. Borkowski

In conventional s-wave superconductors, only magnetic impurities exhibit impurity bound states, whereas for an s+- order parameter they can occur for both magnetic and non-magnetic impurities. Impurity bound states in superconductors can…

We revisit certain aspects of a problem concerning the influence of carrier scattering induced by magnetic impurities in metals on their superconducting properties. Superconductivity is assumed to be driven by strong electron-phonon…

Superconductivity · Physics 2025-10-28 Samuel Awelewa , Maxim Dzero

We study the presence of impurity bound states within a five-band Hubbard model relevant to iron-based superconductors. In agreement with earlier studies, we find that in the absence of Coulomb correlations there exists a range of repulsive…

Superconductivity · Physics 2013-10-16 Maria N. Gastiasoro , Brian M. Andersen
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