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The boson-fermion (BF) model has been proposed to describe superconductivity in short coherence length superconductors. In this work we use it to study impurity induced inhomogeneities in high temperature superconductors (HTS) as found in…

Superconductivity · Physics 2008-03-06 Jaromir Krzyszczak , Tadeusz Domański , Karol I. Wysokiński

We study various inhomogeneity effects on superconductivity as due to quantum confinement, surfaces and impurities, using the self-consistent Bogoliubov-de Gennes formalism on the attractive Hubbard model. The results are also compared with…

Superconductivity · Physics 2009-11-10 K. Tanaka , F Marsiglio

The ability to simulate realistically the electronic structure of superconducting materials is important to understand and predict various properties emerging in both the superconducting topological and spintronics realms. We introduce a…

Superconductivity · Physics 2023-12-19 Uriel A. Aceves Rodriguez , Filipe Guimarães , Samir Lounis

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

We calculate transport properties of disordered 2D d-wave superconductors from solutions of the Bogoliubov-de Gennes equations, and show that weak localization effects give rise to a finite frequency peak in the optical conductivity similar…

Superconductivity · Physics 2009-11-07 W. A. Atkinson , P. J. Hirschfeld

Twin boundaries in orthorhombic d-wave superconductors are investigated numerically using the Bogoliubov-deGennes formalism within the context of an extended Hubbard model. The twin boundaries are represented by tetragonal regions of…

Superconductivity · Physics 2009-10-30 D. L. Feder , A. Beardsall , A. J. Berlinsky , C. Kallin

We implement the Bogoliubov-de Gennes (BdG) equation in real-space using the screened Korringa-Kohn-Rostoker (KKR) method. This allows us to solve, self-consistently, the superconducting state for 3d crystals including substitutional…

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

The Bogoliubov-de Gennes (BdG) equations are solved in the strong-coupling limit, where real-space (preformed) pairs bose-condense with finite center-of-mass momenta. There are two energy scales in this regime, a temperature independent…

Superconductivity · Physics 2007-05-23 A. S. Alexandrov

The effects of long-range anisotropic elastic deformations on electronic structure in superconductors are analyzed within the framework of the Bogoliubov-de Gennes equations. Cases of twin boundaries and isolated defects are considered as…

Superconductivity · Physics 2009-11-10 Jian-Xin Zhu , K. H. Ahn , Z. Nussinov , T. Lookman , A. V. Balatsky , A. R. Bishop

The effect of non-magnetic impurities on 2D s-wave superconductors is studied beyond the weak disorder regime. Within the Bogoliubov-de Gennes (BdG) framework, the local pairing amplitude develops a broad distribution with significant…

Superconductivity · Physics 2009-10-31 Amit Ghosal , Mohit Randeria , Nandini Trivedi

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

As a prototype of a disordered superconductor we consider the attractive Hubbard model with on-site disorder. We solve the Bogoljubov-de-Gennes equations on two-dimensional finite clusters at zero temperature and evaluate the…

Superconductivity · Physics 2012-05-22 G. Seibold , L. Benfatto , C. Castellani , J. Lorenzana

We analyze the complex interplay of the strong correlations and impurities in a high temperature superconductor and show that both the nature and degree of the inhomogeneities at zero temperature in the local order parameters change…

Superconductivity · Physics 2015-06-18 Debmalya Chakraborty , Amit Ghosal

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 Bogoliubov - de Gennes equations are solved for the Coulomb Bose gas describing a fluid of charged bosons at finite temperature. The approach is applicable in the weak coupling regime and the extent of its quantitative usefulness is…

Condensed Matter · Physics 2009-10-31 E. Strepparola , A. Minguzzi , M. P. Tosi

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

Within the phase fluctuation picture for the pseudogap state of a high-$T_{c}$ superconductor, we incorporate the phase fluctuations generated by the classical XY model with the Bogoliubov-de Gennes formalism utilizing a field-theoretical…

Superconductivity · Physics 2008-09-26 Wonkee Kim , Yan Chen , C. S. Ting

Quantum Monte Carlo simulations are used to investigate the two-dimensional superfluid properties of the hard-core boson model, which show a strong dependence on particle density and disorder. We obtain further evidence that a half-filled…

Condensed Matter · Physics 2009-10-22 T. Onogi , Y. Murayama

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
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