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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 role of impurities as experimental probes in the detection of quantum material properties is well appreciated. Here we study the effect of a single classical magnetic impurity in trapped ultracold Fermi superfluids. Depending on its…

Quantum Gases · Physics 2011-07-11 Lei Jiang , Leslie O. Baksmaty , Hui Hu , Yan Chen , Han Pu

In this manuscript we analyse properties of bound states of an atom interacting with a set of static impurities. We begin with the simplest system of a single atom interacting with two static impurities. We consider two types of…

Quantum Gases · Physics 2021-01-04 Marta Sroczyńska , Zbigniew Idziaszek

We study theoretically single-particle spectra of Weyl superconductors. Three different superconducting pairing states are addressed, which are the BCS-type states with the $s$-wave pairing symmetry and the $p+ip$-wave pairing symmetry, and…

Superconductivity · Physics 2018-07-27 Tao Zhou , Yi Gao , Z. D. Wang

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

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

Impurities in superconductors and their induced bound states are important both for engineering novel states such as Majorana zero-energy modes and for probing bulk properties of the superconducting state. The high-temperature cuprates…

Superconductivity · Physics 2019-01-14 Mahdi Mashkoori , Kristofer Björnson , Annica M. Black-Schaffer

We study the role of impurities in a two-band superconductor, and elucidate the nature of the recently predicted transition from s_{+-} state to s_{++} state induced by interband impurity scattering. Using a Ginzburg-Landau theory, derived…

Superconductivity · Physics 2014-04-14 Valentin Stanev , Alexei E. Koshelev

The $s=1$ Heisenberg Antiferromagnet is studied in the presence of two kinds of local impurities. First, a perturbed antiferromagnetic bond with $J'\ne J$ at the center of an even-length open chain is considered. Using the density matrix…

Condensed Matter · Physics 2009-10-22 Erik Sorensen , Ian Affleck

The two-component model of high temperature superconductors in its real space version has been solved using Bogoliubov-de Gennes equations. The disorder in the electron and boson subsystem has been taken into account. It strongly modifies…

Superconductivity · Physics 2015-05-19 J. Krzyszczak , T. Domanski , K. I. Wysokinski , R. Micnas , S. Robaszkiewicz

We study subgap states induced by a single impurity in an s-wave superconductor with suppressed pairing. For concreteness, we consider a bulk superconductor containing a normal spherical region. We find that a point impurity in this system…

Superconductivity · Physics 2021-10-12 A. A. Bespalov

We investigate the single-particle spectra of recently discovered kagome superconductors. We examine nine distinct superconducting pairing symmetries, including the uniform $s$-wave pairing function, nearest-neighbor and…

Superconductivity · Physics 2024-02-07 Jinhui Liu , Tao Zhou

We investigate the effect of spin-orbit coupling on the in-gap bound states localized at magnetic impurities in multi-band superconductors with unconventional (sign-changed) and conventional (sign-unchanged) $s$-wave pairing symmetry, which…

Superconductivity · Physics 2017-05-09 Kangjun Seo , Jay D. Sau , Sumanta Tewari

Disorder - impurities and defects violating an ideal order - is always present in solids. It can result in interesting and sometimes unexpected effects in multiband superconductors. Especially if the superconductivity is unconventional thus…

Superconductivity · Physics 2017-04-11 M. M. Korshunov , Yu. N. Togushova , O. V. Dolgov

We report on a numerical study of disorder effects in 2D d-wave BCS superconductors. We compare exact numerical solutions of the Bogoliubov-deGennes (BdG) equations for the density of states $\rho(E)$ with the standard T-matrix…

Superconductivity · Physics 2009-10-31 W. A. Atkinson , P. J. Hirschfeld , A. H. MacDonald

We study a short coherence length d-wave superconductor with finite density of unitary scatterers using the Bogoliubov-deGennes technique. We find that the low-energy density of states is reduced, the superfluid stiffness is significantly…

Superconductivity · Physics 2007-05-23 Amit Ghosal , Mohit Randeria , Nandini Trivedi

The structure of a single vortex in a FeAs superconductor is studied in the framework of two formulations of superconductivity for the recently proposed sign-reversed $s$ wave ($s^\pm$) scenario: {\it (i)} a continuum model taking into…

Superconductivity · Physics 2015-05-14 M. A. N. Araujo , M. Cardoso , P. D. Sacramento

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

We reveal that Majorana bound states inside the vortex core in an odd-parity topological superconductivity classified as "pseudo-scalar" type in the gap function are distinctly spin-polarized by solving the massive Dirac Bogoliubov-de…

Superconductivity · Physics 2014-05-14 Yuki Nagai , Hiroki Nakamura , Masahiko Machida

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