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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

While the influence of impurities on the local density of states (LDOS) in a metal is notoriously non-local due to interference effects, low order moments of the LDOS in general can be shown to depend only on the local structure of the…

Superconductivity · Physics 2009-11-11 R. Jamei , J. Robertson , E-A. Kim , A. Fang , A. Kapitulnik , S. A. Kivelson

We perform large-scale numerical calculations self-consistently solving the Bogoliubov-de Gennes (BdG) equations in the magnetic field together with random impurities to directly demonstrate the typical quasi-particle interference (QPI) in…

Superconductivity · Physics 2012-03-23 Yuki Nagai , Noriyuki Nakai , Masahiko Machida

We study inelastic (dynamical) impurity scattering effects in two-band superconductors with the same ($s_{++}$ wave) or different ($s_\pm$ wave) sign order parameters. We focus on the enhancement of the superconducting transition…

Strongly Correlated Electrons · Physics 2015-05-19 Mikito Koga , Masashige Matsumoto , Hiroaki Kusunose

We develop a method to solve the Bogoliubov de Gennes equation for superconductors self-consistently, using the recursion method. The method allows the pairing interaction to be either local or non-local corresponding to $s$ and $d$--wave…

Superconductivity · Physics 2009-10-31 A. M. Martin , J. F. Annett

We investigate the role of a finite potential range of a nonmagnetic impurity for the local density of states in a d_{x^2-y^2} superconductor. Impurity induced subgap resonances are modified by the appearance of further scattering channels…

Superconductivity · Physics 2009-10-30 A. P. Kampf , T. P. Devereaux

Nonmagnetic impurities in d-wave superconductors cause strong local suppressions of the order parameter. We investigate the observable effects of the scatterigng off such suppressions in bulk samples by treating the order parameter "hole"…

Superconductivity · Physics 2009-10-31 Matthias H. Hettler , P. J. Hirschfeld

We explore the effects of various kinds of random disorder on the quasiparticle density of states of two-dimensional d-wave superconductors using an exact real-space method, incorporating realistic details known about the cuprates. Random…

Superconductivity · Physics 2018-04-19 Miguel Antonio Sulangi , Jan Zaanen

Anderson's theorem states that non-magnetic impurities do not change the bulk properties of conventional superconductors. However, as the dimensionality is reduced, the effect of impurities becomes more significant. Here we investigate…

Superconductivity · Physics 2017-10-25 L. -F. Zhang , L. Covaci , F. M. Peeters

The quasiparticle scattering interference phenomenon characterized by the peaks in the local density of states is studied within the kinetic energy driven superconducting mechanism in the presence of a single impurity. By calculation of the…

Superconductivity · Physics 2010-07-13 Zhi Wang , Bin Liu , Shiping Feng

We review work on the problem of disorder in the 2D d-wave superconducting state, and show that the symmetries of the normal state and the disorder distribution are vital for understanding the low-energy behavior. Most previous theoretical…

Superconductivity · Physics 2007-05-23 P. J. Hirschfeld , W. A. Atkinson

The impurity is inherently manifest in cuprate superconductors, as cation substitution or intercalation is necessary for the introduction of charge carriers, and its influence on the electronic state is at the heart of a great debate in…

Superconductivity · Physics 2022-08-22 Minghuan Zeng , Xiang Li , Yongjun Wang , Shiping Feng

Using both the self-consistent Bogoliubov-de Gennes formulation and non-self-consistent T-matrix approach, we perform a comprehensive investigation of the in-gap bound states induced by a localized single impurity in iron-based…

Superconductivity · Physics 2013-05-29 Wei-Feng Tsai , Yan-Yang Zhang , Chen Fang , Jiangping Hu

The quasiparticle states around a nonmagnetic impurity in electron-doped iron-based superconductors with spin-density-wave (SDW) order are investigated as a function of doping and impurity scattering strength. In the undoped sample, where a…

Superconductivity · Physics 2011-06-07 Tao Zhou , Huaixiang Huang , Yi Gao , Jian-Xin Zhu , C. S. Ting

The profiles of local density of states (LDOS) around different vortex configurations in mesoscopic superconductors are studied taking account of the interference of quasiparticle waves experiencing Andreev reflection within the vortex…

Superconductivity · Physics 2015-05-13 A. S. Mel'nikov , D. A. Ryzhov , M. A. Silaev

The effect of impurities on a superconductor with Bogoliubov Fermi surfaces (BFSs) is studied using a realistic tight-binding model. Based on the band structure composed of $d$-orbitals in tetragonal FeSe, whose S-doped sample is a…

Superconductivity · Physics 2025-10-07 Tatsuya Miki , Hiroaki Ikeda , Shintaro Hoshino

We study systems of multiple interacting quantum impurities deposited on a metallic surface in a 3D host. For the real-space two-impurity problem, using numerical renormalization group calculations, a rich range of behavior is shown to…

Strongly Correlated Electrons · Physics 2015-06-16 Andrew K. Mitchell , Philip G. Derry , David E. Logan

The electronic structure around an impurity in spin triplet p-wave superconductors is studied by the Bogoliubov-de Gennes theory on a tight-binding model, where we have chosen $\sin{p_x}{+}{\rm i}\sin{p_y}$-wave or $\sin{(p_x+p_y)}{+}{\rm…

Superconductivity · Physics 2007-05-23 Mitsuaki Takigawa , Masanori Ichioka , Kazuhiko Kuroki , Yukio Tanaka

We study the effects of non-magnetic impurity scattering on the Andreev bound states (ABS) in an isolated vortex in a two-dimensional chiral p-wave superconductor numerically. We incorporate the impurity scattering effects into the…

Superconductivity · Physics 2014-03-11 Noriyuki Kurosawa , Nobuhiko Hayashi , Emiko Arahata , Yusuke Kato

The effects of non-magnetic impurities on the properties of superconductors with order parameters (OP) of different symmetry are discussed. In particular, we contrast the case of a d_{x^2 - y^2} with various forms of an anisotropic s-wave…

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