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We study a simple model of a two-dimensional s-wave superconductor in the presence of a random potential in the regime of large disorder. We first use the Bogoliubov-de Gennes (BdG) approach to show that, with increasing disorder the…

Disordered Systems and Neural Networks · Physics 2013-05-29 Amit Ghosal , Mohit Randeria , Nandini Trivedi

We study the effect of disorder symmetry in a disordered s-wave superconductor. We begin with an attractive Hubbard model on a two-dimensional square lattice in the presence of diagonal- and off-diagonal disorder. The model is studied…

Superconductivity · Physics 2013-02-11 Sanjeev Kumar , Prabuddha B. Chakraborty

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

We explore the role of phase fluctuations in a 3-dimensional s-wave superconductor, NbN, as we approach the critical disorder for the destruction of the superconducting state. Scanning tunneling spectroscopy measurements reveal that in the…

We study the phase fluctuations in the normal state of generic two-dimensional superconducting systems with s-wave pairing. The effect of phase fluctuations of the pairing fields can be dealt with perturbatively using disorder averaging,…

Superconductivity · Physics 2023-06-02 Xu-Cheng Wang , Yang Qi

Strong evidence is presented for the localization of low energy quasiparticle states in disordered $d$-wave superconductors. Within the framework of the Bogoliubov-de Gennes (BdG) theory applied to the extended Hubbard model with a finite…

Condensed Matter · Physics 2009-10-28 M. Franz , C. Kallin , A. J. Berlinsky

A numerical approach to disordered 2D superconductors described by BCS mean field theory is outlined. The energy gap and the superfluid density at zero temperature and the quasiparticle density of states are studied. The method involves…

Condensed Matter · Physics 2016-08-31 T. Xiang , J. M. Wheatley

In this paper we study the effect of single non-magnetic impurity in two-band s-wave superconductors where the two s-wave order parameters have relative phase $\delta\neq0$ between them. We show that in-gap bound states are always induced…

Superconductivity · Physics 2009-06-16 T. K. Ng , Y. Avishai

Effect of finite density of nonmagnetic impurities on a coexisting phase of d-density wave (DDW) order and d-wave superconducting (DSC) order is studied using Bogoliubov-de Gennes (BdG) method. The spatial variation of the inhomogeneous DDW…

Superconductivity · Physics 2009-11-10 Amit Ghosal , Hae-Young Kee

We investigate the mutual influence of impurities in two-dimensional d-wave superconductors involving self-consistent solutions of the Bogoliubov-de Gennes equations. The local order parameter suppression, the local density of states (LDOS)…

Superconductivity · Physics 2009-11-07 U. Michelucci , F. Venturini , A. P. Kampf

The role of self-consistency in Bogoliubov-de Gennes equations is frequently underestimated in the investigation of in-gap states created by magnetic impurities in s-wave superconductors. Our research focuses on the impact of…

Superconductivity · Physics 2024-02-05 Divya Jyoti , Deung-Jang Choi , Nicolas Lorente

We study the effect of nonmagnetic impurities in the superconducting state of the t-J model. The Bogoliubov de Gennes equation is derived using a slave-boson mean-field approximation, and we solve it numerically at T=0. The d_{x^2-y^2}-wave…

Superconductivity · Physics 2009-10-31 Hideki Tanaka , Kazuhiro Kuboki , Manfred Sigrist

We demonstrate that discrepancies between predicted low-energy quasiparticle properties in disordered 2D d-wave superconductors occur because of the unanticipated importance of disorder model details and normal-state particle-hole symmetry.…

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

A generalization of the Abrikosov-Gorkov equations for non-magnetic impurities in unconventional superconductors is proposed, including higher harmonics in the expansion of the momentum dependent gap function and a momentum dependent…

Superconductivity · Physics 2009-10-30 Stephan Haas , A. V. Balatsky , Manfred Sigrist , T. M. Rice

Theoretical studies of disordered $d$-wave superconductors have focused, with a few exceptions, on optimally doped models with strong scatterers. Addressing recent controversies about the nature of the overdoped cuprates, however, requires…

Superconductivity · Physics 2024-07-29 Mainak Pal , Andreas Kreisel , W. A. Atkinson , P. J. Hirschfeld

Inhomogeneity is introduced through random local interactions (Ui) in an attractive Hubbard model on a square lattice and studied using mean-field Bogoliubov-de Gennes formalism. Superconductivity is found to get suppressed by the random Ui…

Superconductivity · Physics 2009-11-13 Budhaditya Chatterjee , A. Taraphder

We show that gapless superconductivity of a strongly type-II superconductor in a high magnetic field prevails in the presence of disorder, suggesting a topological nature. We calculate the density of states of the Bogoliubov-de Gennes…

Superconductivity · Physics 2009-10-31 P. D. Sacramento

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

There is strong support in favor of an unusual $s_{\pm}$ superconducting state in the new iron-based superconductors, in which the gap parameter has opposite signs in different bands. In this case scattering between different bands by…

Superconductivity · Physics 2011-08-19 A. Glatz , A. E. Koshelev

We study the interplay of superconductivity and disorder by solving numerically the Bogoliubov-de-Gennes equations in a two dimensional lattice of size $80\times80$ which makes possible to investigate the weak-coupling limit. In contrast…

Superconductivity · Physics 2020-03-25 Bo Fan , Antonio M. García-García
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