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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…

Local superconducting gap structure is studied as a function of nanoscale depth in electric-field-induced surface superconductivity such as in SrTiO3. We examine solutions of Bogoliubov-de Gennes equation in two limiting confinement…

Superconductivity · Physics 2013-03-04 Yousuke Mizohata , Masanori Ichioka , Kazushige Machida

We calculate superconducting gaps and quasiparticle density of states of YNi$_2$B$_2$C in the framework of the density functional theory for superconductors to investigate the origin of a highly anisotropic superconducting gaps in this…

Superconductivity · Physics 2017-02-22 Mitsuaki Kawamura , Ryosuke Akashi , Shinji Tsuneyuki

We report on the implementation of the Bogoliubov-de Gennes method into the JuKKR code [https: //jukkr.fz-juelich.de], an implementation of the relativistic all-electron, full-potential Korringa-Kohn-Rostoker Green function method, which…

Superconductivity · Physics 2022-04-11 Philipp Rüßmann , Stefan Blügel

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

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

We derive a nonlinear differential equation for the gap parameter of a superfluid Fermi system by performing a suitable coarse graining of the Bogoliubov-de Gennes (BdG) equations throughout the BCS-BEC crossover, with the aim of replacing…

Superconductivity · Physics 2014-02-21 S. Simonucci , G. C. Strinati

We investigate the electronic properties of type-II superconducting Nb(110) in an external magnetic field. Scanning tunneling spectroscopy reveals a complex vortex shape which develops from circular via coffee bean-shaped to elliptical when…

In contrast to most microscopic theories of superconductivity based on the reciprocal space, the Bogoliubov-de Gennes (BdG) formalism provides a real-space alternative for addressing inhomogeneous systems. In this article, we study the…

Superconductivity · Physics 2023-12-21 Germán E. López , Chumin Wang

Recent measurements of the anisotropy of the upper critical field Bc2 on MgB2 single crystals have shown a puzzling strong temperature dependence. Here, we present a calculation of the upper critical field based on a detailed modeling of…

Superconductivity · Physics 2009-11-07 T. Dahm , N. Schopohl

We present a microscopic study of superconductivity in OsB2 , and discuss the origin and characteristic length scales of the superconducting state. From first-principles we show that OsB2 is characterized by three different Fermi sheets,…

It has recently been realized that the gap nodes of multiband superconductors that break time-reversal symmetry generically take the form of Fermi surfaces of Bogoliubov quasiparticles. However, these Fermi surfaces lead to a nonzero…

Superconductivity · Physics 2023-06-07 Ankita Bhattacharya , Carsten Timm

Magnetic adatoms on s-wave superconductors induce bound states inside the superconducting gap, called Yu-Shiba-Rusinov states (YSR). The anisotropy of the Fermi surface determines the spatial extension of bound states in a…

Point contacts are used to investigate the anisotropy of the superconducting energy gap in LuNi2B2C in the ab plane and along the c axis. It is shown that the experimental curves should be described assuming that the superconducting gap is…

The iron-pnictide superconductors have a layered structureformed by stacks of FeAs planes from which the superconductivity originates. Given the multiband and quasi three-dimensional \cite{3D_SC} (3D) electronic structure of these…

Superconductors involving electrons with internal degrees of freedom beyond spin can have internally anisotropic pairing states that are impossible in single-band superconductors. As a case in point, in even-parity multiband superconductors…

Superconductivity · Physics 2020-01-09 Clara J. Lapp , Georg Börner , Carsten Timm

We calculate the microwave conductivity of a two band superconductor with $s^\pm$ gap symmetry. Inelastic scattering is included approximately in a BCS model augmented by a temperature dependent quasiparticle scattering rate assumed,…

Superconductivity · Physics 2009-12-01 E. Schachinger , J. P. Carbotte

We report on the measurements of the superconducting order parameter in the nonmagnetic borocarbides LuNi$_2$B$_2$C and YNi$_2$B$_2$C. Andreev conductance spectra are obtained from nanoscale metallic junctions on single crystal surfaces…

Superconductivity · Physics 2015-05-04 X. Lu , W. K. Park , S. Yeo , K. -H. Oh , S. -I. Lee , S. L. Bud'ko , P. C. Canfield , L. H. Greene

We perform a thorough theoretical study of the electron properties of a generic CuO$_2$ plane in the framework of Shubin-Kondo-Zener $s$-$d$ exchange interaction that simultaneously describes the correlation between $T_c$ and the Cu4$s$…

Superconductivity · Physics 2022-08-02 Todor M. Mishonov , Nedelcho I. Zahariev , Hassan Chamati , Albert M. Varonov

Recent intensive experimental studies revealed that (Y,Lu)Ni$_2$B$_2$C is an anisotropic s-wave superconductor. In addition, its gap function possesses deep point minima, whose ratio of the gap anisotropy is more than 10. On the theoretical…

Superconductivity · Physics 2009-11-10 Hiroshi Kontani
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