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The low-energy density of states (DOS) of disordered 2D d-wave superconductors is extremely sensitive to details of both the disorder model and the electronic band structure. Using diagrammatic methods and numerical solutions of the…

Condensed Matter · Physics 2009-11-07 A. G. Yashenkin , W. A. Atkinson , I. V. Gornyi , P. J. Hirschfeld , D. V. Khveshchenko

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

We present a numerical study of the quasi-particle density of states (DoS) of two-dimensional d-wave superconductors in the presence of smooth disorder. We find power law scaling of the DoS with an exponent depending on the strength of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Bodo Huckestein , Alexander Altland

We present a numerical study of the quasi-particle density of states (DoS) of two-dimensional d-wave superconductors in the presence of disorder, focusing on the influence of the range of the disorder. We find qualitatively different…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Bodo Huckestein , Alexander Altland

Influence of weak nonmagnetic impurities on the single-particle density of states $\rho(\omega)$ of two-dimensional electron systems with a conical spectrum is studied. We use a nonperturbative approach, based on replica trick with…

Condensed Matter · Physics 2009-10-22 A. A. Nersesyan , A. M. Tsvelik , F. Wenger

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

A diagrammatic method is applied to study the effects of commensurability in two-dimensional disordered crystalline metals by using the particle-hole symmetry with respect to the nesting vector P_0={\pm{\pi}/a, {\pi}/a} for a half-filled…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. P. Nakhmedov , M. Kumru , R. Oppermann

We explore correlations of inhomogeneous local density of states (LDoS) for impure superconductors with different symmetries of the order parameter (s-wave and d-wave) and different types of scatterers (elastic and magnetic impurities). It…

Superconductivity · Physics 2012-06-08 A. E. Koshelev , A. A. Varlamov

The physics of low-energy quasi-particle excitations in disordered d-wave superconductors is a subject of ongoing intensive research. Over the last decade, a variety of conceptually and methodologically different approaches to the problem…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alexander Altland , B. D. Simons , M. R. Zirnbauer

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 show that strong correlations play a vital role in protecting low energy excitations in disordered high temperature superconductors. The impurity-induced low-energy density of states (DOS) is greatly reduced in the strongly correlated…

Strongly Correlated Electrons · Physics 2007-05-23 Arti Garg , Mohit Randeria , Nandini Trivedi

An extensive numerical study is reported on disorder effect in two-dimensional d-wave superconductors with random impurities in the unitary limit. It is found that a sharp resonant peak shows up in the density of states at zero energy and…

Superconductivity · Physics 2009-10-31 Jian-Xin Zhu , D. N. Sheng , C. S. Ting

The interplay of superconductivity and disorder generates a wealth of complex phenomena. In particular, the peculiar structure of diffusive electronic wavefunctions is predicted to increase the superconducting critical temperature in some…

Superconductivity · Physics 2023-05-17 Mathieu Lizée , Matthias Stosiek , Christophe Brun , Igor Burmistrov , Tristan Cren

We study the density of states (DOS) in diffusive superconductors with pointlike magnetic impurities of arbitrary strength described by the Poissonian statistics. The mean-field theory predicts a nontrivial structure of the DOS with the…

Superconductivity · Physics 2016-04-26 Yakov V. Fominov , Mikhail A. Skvortsov

We consider the effect of the finite size in the ab-plane on the surface density of states (DoS) in clean d-wave superconductors. In the bulk, the DoS is gapless along the nodal directions, while the presence of a surface leads to formation…

Superconductivity · Physics 2007-05-23 Ya. V. Fominov , A. A. Golubov

We calculate self-consistently the local density of states (LDOS) of a d-wave superconductor considering the scattering of the quasiparticles off randomly distributed impurities and off externally induced vortices. The impurities and the…

Superconductivity · Physics 2009-11-11 J. Lages , P. D. Sacramento

The quasiparticle density of states (DOS), the energy gap, the superfluid density $\rho_s$, and the localization effect in the s- and d-wave superconductors with non-magnetic impurity in two dimensions (2D) are studied numerically. For…

Condensed Matter · Physics 2009-10-22 T Xiang , J M Wheatley

We consider a semiclassical formulation for the density of states (DOS) of disordered systems in any dimension. We show that this formulation becomes very accurate when the correlation length of the disorder potential is large. The disorder…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. C. Flores , M. Hilke

A two-parameter field theoretical representation is given of a 2-dimensional dirty d-wave superconductor that interpolates between the Gaussian limit of uncorrelated weak disorder and the unitary limit of a dilute concentration of resonant…

Disordered Systems and Neural Networks · Physics 2009-10-31 Claudio Chamon , Christopher Mudry

We revise the problem of the density of states in disordered superconductors. Randomness of local sample characteristics translates to the quenched spatial inhomogeneity of the spectral gap, smearing the BCS coherence peak. We show that…

Superconductivity · Physics 2013-10-16 M. A. Skvortsov , M. V. Feigel'man
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