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We report results of a microscopic calculation of a second-order phase transition into a state breaking time-reversal and translational invariance along pair-breaking edges of $d$-wave superconductors. By solving a tight-binding model…

Superconductivity · Physics 2020-11-11 N. Wall Wennerdal , A. Ask , P. Holmvall , T. Löfwander , M. Fogelström

On the basis of the Bogoliubov--de Gennes theory we study the transformation of the quasiparticle spectrum in the mixed state of a mesoscopic superconductor, governed by an external magnetic field. We analyze the low energy part of the…

Superconductivity · Physics 2008-07-14 A. S. Mel'nikov , D. A. Ryzhov , M. A. Silaev

We report on the Andreev spectroscopy and specific heat of high-quality single crystals BaFe$_{1.9}$Ni$_{0.1}$As$_{2}$. The intrinsic multiple Andreev reflection spectroscopy reveals two anisotropic superconducting gaps $\Delta_L \approx…

The approach applicable for spatially inhomogeneous and time-dependent problems associated with the induced superconductivity in low dimensional electronic systems is developed. This approach is based on the Fano--Anderson model which…

Superconductivity · Physics 2011-05-11 N. B. Kopnin , A. S. Melnikov

I analyze the low temperature limit of the BCS theory of s-wave single-band superconductors, when the attraction band may be asymmetric with respect to the chemical potential. I discuss equilibrium systems, taking consistently into account…

Superconductivity · Physics 2017-01-27 Dragos-Victor Anghel

Recently, Andreev bound states in iron pnictide have been proposed as an experimental probe to detect the relative minus sign in the $s_\pm$-wave pairing. While previous theoretical investigations demonstrated the feasibility of the…

Superconductivity · Physics 2015-05-14 Wen-Min Huang , Hsiu-Hau Lin

We investigate superconducting quantum interference devices consisting of two highly transmissive Josephson junctions coupled by a superconducting loop, all defined in an epitaxial InAs/Al heterostructure. A novel device design allows for…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 F. Nichele , E. Portolés , A. Fornieri , A. M. Whiticar , A. C. C. Drachmann , T. Wang , G. C. Gardner , C. Thomas , A. T. Hatke , M. J. Manfra , C. M. Marcus

The theory of Andreev conductance is formulated for junctions involving normal metals (N) and multiband superconductors (S) and applied to the case of superconductors with nodeless extended $s_{\pm}$-wave order parameter symmetry, as…

Superconductivity · Physics 2015-05-13 A. A. Golubov , A. Brinkman , O. V. Dolgov , I. I. Mazin , Y. Tanaka

We demonstrate that the electronic bandstructure extracted from quasi-particle interference spectroscopy [Nat. Phys. 9, 468 (2013)] and the theoretically computed form of the superconducting gaps [Proc. Nat. Acad. Sci. 111, 11663 (2014)]…

Superconductivity · Physics 2016-01-27 John S. Van Dyke , J. C. Seamus Davis , Dirk K. Morr

The density of Andreev levels in a normal metal ($N$) in contact with two superconductors ($S$) is known to exhibit an induced minigap related to the inverse dwell time. We predict a small secondary gap just below the superconducting gap…

Superconductivity · Physics 2014-10-14 J. Reutlinger , L. Glazman , Yu. V. Nazarov , W. Belzig

Superconducting states of an anisortopic s-wave superconductor on a M\"obius strip are studied numerically based on the Ginzburg-Landau theory and the Bogoliubov-de Gennes theory. In both, the equations are solved numerically on discitized…

Superconductivity · Physics 2015-06-25 Masahiko Hayashi , Hiromichi Ebisawa , Kazuhiro Kuboki

Experimental evidence of novel phenomena in hydrogenated graphite fibers is found. An indirect excitonic mechanism is likely leading to a SC state below the temperature Tc = 50 K, where the gap is divergent. Analysis of the gap within the…

Superconductivity · Physics 2023-02-15 Nadina Gheorghiu , Charles R. Ebbing , Timothy J. Haugan

Recent experiments indicate that the excitation spectrum of the cuprates is characterised, in the superconducting state, by two energy scales: the ``coherence energy'' \Delta_c and the ``pseudogap'' \Delta_p. Here we consider a simple…

Superconductivity · Physics 2009-11-07 J. Quintanilla , B. L. Gyorffy

It is shown that the Bogoliubov-de Gennes equations pair the electrons in states which are linear combinations of the normal states. Accordingly, the BCS-like reduction procedure is required to choose a correct pairing. For a homogeneous…

Superconductivity · Physics 2009-10-30 Yong-Jihn Kim

We have developed a semiclassical approach to solving the Bogoliubov - de Gennes equations for superconductors. It is based on the study of classical orbits governed by an effective Hamiltonian corresponding to the quasiparticles in the…

Superconductivity · Physics 2009-11-07 Kevin P. Duncan , Balazs L. Gyorffy

The tunneling spectrum of an electron and a hole in a superlattice of NS junctions is computed using the BTK approach and the transfer matrix method. It shows sharp resonances at some energies above the superconducting gap. The sharper the…

Superconductivity · Physics 2014-08-20 W. LiMing , Jiayun Luo , Xiaoxue Cai , Ke Sha , Liangbin Hu

The nontrivial topology of the electronic structure of iron pnictides can lead to the appearance of surface states. We study such states in various strip geometries with a focus on the superconducting phase. In the presence of…

Strongly Correlated Electrons · Physics 2014-08-06 Alexander Lau , Carsten Timm

When subject to a weak magnetic impurity potential, the order parameter and quasi-particle energy gap of a bulk singlet superconductor are suppressed. According to the conventional mean-field theory of Abrikosov and Gor'kov, the integrity…

Superconductivity · Physics 2009-11-07 A Lamacraft , B D Simons

We construct a new set of generalized coherent states, the electron-hole coherent states, for a (quasi-)spin particle on the infinite line. The definition is inspired by applications to the Bogoliubov-de Gennes equations where the…

Mathematical Physics · Physics 2016-02-17 Sven Gnutzmann , Marek Kuś , Jordan Langham-Lopez

Reconstructing a density of states or similar distribution from moments or continued fractions is an important problem in calculating the electronic and vibrational structure of defective or non-crystalline solids. For single bands a…

Strongly Correlated Electrons · Physics 2015-05-20 Roger Haydock , C. M. M. Nex