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We implement the Bogoliubov-de Gennes (BdG) equation in a screened Korringa-Kohn-Rostoker (KKR) method for solving, self-consistently, the superconducting state for 3d crystals. This method combines the full complexity of the underlying…

Superconductivity · Physics 2020-02-26 Tom G. Saunderson , James F. Annett , Balázs Újfalussy , Gábor Csire , Martin Gradhand

We have implemented the Bogoliubov-de Gennes (BdG) equation in a screened Korringa-Kohn- Rostoker (KKR) method for solving, self-consistently, the superconducting state for 3d crystals including substitutional impurities. In this report we…

Superconductivity · Physics 2022-02-02 Tom G. Saunderson , James F. Annett , Gábor Csire , Martin Gradhand

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

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

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

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

Single impurity problem in iron-pnictide superconductors is investigated by solving Bogoliubov-de Gennes (BdG) equation in the five-orbital model, which enables us to distinguish s$_{+-}$ and s$_{++}$ superconducting states. We construct a…

Superconductivity · Physics 2010-07-30 Toshikaze Kariyado , Masao Ogata

We present SIESTA-BdG, an implementation of the simultaneous solution of the Bogoliubov-de Gennes (BdG) and Density Functional Theory (DFT) problem in SIESTA, a first-principles method and code for material simulations which uses…

Superconductivity · Physics 2024-06-05 R. Reho , N. Wittemeier , A. H. Kole , P. Ordejón , Z. Zanolli

Experiments observe an enhanced superconducting gap over impurities as compared to the clean-bulk value. In order to shed more light on this phenomenon, we perform simulations within the framework of Bogoliubov-deGennes theory applied to…

Superconductivity · Physics 2022-04-20 Matthias Stosiek , Clemens Baretzky , Timofey Balashov , Ferdinand Evers , Wulf Wulfhekel

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

We perform a theoretical examination of the local electronic structure in the recently discovered bilayer high-temperature superconductor ${\mathrm{La}_3\mathrm{Ni}_2\mathrm{O}_7}$. Our method begins with a bilayer two-orbital tight-binding…

Superconductivity · Physics 2023-11-06 Junkang Huang , Z. D. Wang , Tao Zhou

We generalize the screened Korringa-Kohn-Rostoker (SKKR) method for solving the corresponding Kohn-Sham-Bogoliubov-de Gennes (KSBdG) equations for surfaces and interfaces. As an application of the newly developed theory we study the…

Superconductivity · Physics 2016-07-05 Gábor Csire , Balázs Újfalussy , József Cserti , Balázs Győrffy

The matrix-generalized Bogoliubov-de Gennes systems have recently been considered by the present author [arXiv:1509.04242, Phys. Rev. B 93, 024512 (2016)], and time-dependent and self-consistent multi-soliton solutions have been constructed…

Mathematical Physics · Physics 2016-04-18 Daisuke A. Takahashi

The dc conductance of normal-superconducting hybrid structures is discussed. It is shown that since the Bogoliubov-DeGennes (BDG) equation does not conserve charge, its application to create a Landauer-type approach for the conductance of…

Superconductivity · Physics 2009-11-13 O. Entin-Wohlman , Y. Imry , A. Aharony

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

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 influence of incommensurate spin density waves (SDW) on superconductivity in unconventional superconductors is studied by means of the Bogolubov-de Gennes (BdG) equations. Exploiting translational symmetries of a magnetically ordered…

Superconductivity · Physics 2015-05-30 Andrzej Ptok , Maciej M. Maska , Marcin Mierzejewski

The pointlike impurity scattering is studied for a superconductor with different pairing symmetries based on a minimal two band model proposed by S. Raghu $et$ $al.$ [Phys. Rev. B {\bf 77}, R220503 (2008)], and the self-consistent…

Superconductivity · Physics 2009-11-10 Tao Zhou , Xiang Hu , Jian-Xin Zhu , C. S. Ting

The diagrammatic formalism and transport equation are conventionally considered as separate but complementary techniques to tackle the impurity scattering effect. To compare with the previous studies from the gauge-invariant kinetic…

Superconductivity · Physics 2022-10-25 F. Yang , M. W. Wu
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