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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

We generalize the Landauer formula to describe the dissipative electron transport through a superconducting point contact. The finite-temperature, linear-in-bias, dissipative DC conductance is expressed in terms of the phase- and…

Superconductivity · Physics 2019-08-14 Sergey S. Pershoguba , Thomas Veness , Leonid I. Glazman

We examine universal conductance fluctuations (UCFs) in mesoscopic normal-superconducting-normal (N-S-N) structures using a numerical solution of the Bogoliubov - de Gennes equation. We discuss two cases depending on the presence (``open''…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tero T. Heikkila , Martti M. Salomaa , C. J. Lambert

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 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 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

We revise the Kubo formula for the electric dc conductivity in the presence of spin-orbit coupling (SOC). We discover that each velocity operator that enters this formula differs from $\partial H/\partial \boldsymbol p$, where $H$ is the…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 I. A. Ado , M. Titov , Rembert A. Duine , Arne Brataas

The tunneling conductance in the half-metal/conical magnet/superconductor (HM/CM/SC) is investigated by the use of the combined Blonder-Tinkham-Klapwijk (BTK) formalism and the Bogoliubov-de Gennes (BdG) equations. We show that the…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 P. Wójcik , B. Rzeszotarski , M. Zegrodnik

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

Using inhomogeneous Bogoliubov-de Gennes formalism we study superconducting properties of bundles of single wall carbon nanotubes, consisting of a mixture of metallic and semiconducting nanotubes, having different critical transition…

Superconductivity · Physics 2011-09-15 Ilya Grigorenko , Anvar Zakhidov

We investigate the subgap bulk transport through short and wide superconducting hybrid structures based on HgTe quantum wells (QWs). We show that the differential conductance of a normal metal-insulator-superconductor (NIS) proximity…

Mesoscale and Nanoscale Physics · Physics 2014-11-05 E. G. Novik , M. Guigou , P. Recher

We study heat transport in hybrid normal metal - superconductor - normal metal (NSN) structures. We find the thermal conductance of a short superconducting wire to be strongly enhanced beyond the BCS value due to inverse proximity effect.…

Superconductivity · Physics 2019-08-15 J. T. Peltonen , P. Virtanen , M. Meschke , J. V. Koski , T. T. Heikkilä , J. P. Pekola

A new class of nano-structure devices is suggested, based on interference from the order parameter phase gradient of a single superconductor (S) in contact with a single normal metallic lead (N). By solving the Bogoliubov - de Gennes…

Condensed Matter · Physics 2019-08-15 P Cook , V C Hui , C J Lambert

Using a scattering matrix approach and quasiclassical Green's function technique, we calculate the conductance of the S/N system (see Fig.1). We establish that the difference between the superconducting and normal state conductance $(\delta…

Superconductivity · Physics 2019-08-17 C. J. Lambert , R. Seviour , A. F. Volkov

Borocarbide compounds with the formula RNi2B2C show interesting superconducting and magnetic properties and the coexistence of the two phenomena. BCS theory is extended to systems with underlying commensurate magnetic order. In the case of…

Superconductivity · Physics 2009-10-31 A. Amici , P. Thalmeier , P. Fulde

Kubo formula is used to get the d.c conductance of a statistical ensemble of two-dimensional clusters of the square lattice in the presence of standard diagonal disorder, a uniform magnetic field and random magnetic fluxes. Working within a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. A. Verges

Superconductivity beyond the conventional Bardeen-Cooper-Schrieffer (BCS) framework often emerges out of a normal state that is accompanied by exotic magnetism and thereby displays many exceptional transport and thermodynamic properties.…

A ring-shaped carbon allotrope was recently synthesized for the first time, reinvigorating theoretical interest in this class of molecules. The dual $\pi$ structure of these molecules allows for the possibility of novel electronic…

Chemical Physics · Physics 2021-04-01 Alexandra E Raeber , David A Mazziotti

Tunneling conductance in diffusive normal metal / insulator / s-wave superconductor (DN/I/S) junctions is calculated for various situations by changing the magnitudes of the resistance and Thouless energy in DN and the transparency of the…

Superconductivity · Physics 2009-11-07 Y. Tanaka , A. A. Golubov , S. Kashiwaya

We consider the conductance of a normal-superconductor junction in bilayer graphene in the framework of the Dirac-Bogoliubov-De-Gennes equation. A remarkable suppression of the conductance at voltages just below the superconducting gap is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Ludwig
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