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We analyze the influence of the structure within a SNS junction on the multiple Andreev resonances in the subgap I-V characteristics. Coherent interference processes and incoherent propagation in the normal region are considered. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Elena Bascones , Francisco Guinea

We recently proposed a unified theoretical framework for superconductivity that broadens the applicability of Bardeen-Cooper-Schrieffer (BCS) theory to both conventional and unconventional superconductors. Within this framework,…

Superconductivity · Physics 2026-01-21 Shun-Li Shang , Zi-Kui Liu

We study $s$-wave superconductivity in hyperbolic spaces using the Bogoliubov-de Gennes theory for discrete hyperbolic lattices and the Ginzburg-Landau theory for the continuous hyperbolic plane. Hyperbolic lattices maintain a finite…

Superconductivity · Physics 2025-09-12 Vladimir Bashmakov , Askar Iliasov , Tomáš Bzdušek , Andrey A. Bagrov

We study proximity effects in clean nanoscale superconductor-normal metal-superconductor (S$\mid$N$\mid$S) graphene heterostructures using a self-consistent numerical solution to the continuum Dirac Bogoliubov-de Gennes (DBdG) equations. We…

Superconductivity · Physics 2015-05-28 Klaus Halterman , Oriol T. Valls , Mohammad Alidoust

We report a theory for analyzing nonlinear DC transport properties of mesoscopic or nanoscopic normal-superconducting (N-S) systems. Special attention was paid such that our theory satisfies gauge invariance. At the linear transport regime…

Condensed Matter · Physics 2009-10-31 Jian Wang , Yadong Wei , Hong Guo , Qing-feng Sun , Tsung-han Lin

The Shubnikov - de Haas effect in quasi-two-dimensional normal metals is studied. The interlayer conductivity is calculated using the Kubo formula. The electron scattering on short-range is considered in the self-consistent Born…

Statistical Mechanics · Physics 2009-11-07 P. D. Grigoriev

We study theoretically electronic transport through a normal metal-- superconductor (NS) interface and show that more than one conductance may be defined, depending on the pair of chemical potentials whose difference one chooses to relate…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Sols , J. Sánchez-Cañizares

Negative differential conductance (NDC) manifests as a significant characteristic of various underlying physics and transport processes in hybrid superconducting devices. In this work, we report the observation of gate-tunable NDC outside…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Mingli Liu , Dong Pan , Tian Le , Jiangbo He , Zhongmou Jia , Shang Zhu , Guang Yang , Zhaozheng Lyu , Guangtong Liu , Jie Shen , Jianhua Zhao , Li Lu , Fanming Qu

We present an ab initio calculation of the DC conductivity of amorphous silicon and hydrogenated amorphous silicon. The Kubo-Greenwood formula is used to obtain the DC conductivity, by thermal averaging over extended dynamical simulation.…

Materials Science · Physics 2009-11-13 T. A. Abtew , M. Zhang , D. A. Drabold

The conductance of one-dimensional interacting electron systems is calculated in a manner similar to Landauer's argument for non-interacting systems. Unlike in previous studies in which the Kubo formula was used, the conductance is directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Akira Shimizu

We develop a detailed analysis of electron transport in normal diffusive con- ductors in the presence of proximity induced superconductivity. A rich structure of temperature and energy dependencies for the system condcutcance, density of…

Condensed Matter · Physics 2007-05-23 A. D. Zaikin , F. K. Wilhelm , A. A. Golubov

By solving the Bogoliubov - de Gennes equation self-consistently in the presence of a non-equilibrium quasi-particle distribution, we compute the current-voltage characteristic of a phase coherent superconducting island with a tunnel…

Condensed Matter · Physics 2009-10-28 A Martin , CJ Lambert

Applying the Bogoliubov-de Gennes equations with density-functional theory, it is possible to formulate first-principles description of current-phase relationships in superconducting/normal (magnetic)/superconducting trilayers. Such…

Mesoscale and Nanoscale Physics · Physics 2024-10-31 H. Ness , M. van Schilfgaarde

We study a bilayer consisting of an ordinary superconductor and a magnet with a spiral magnetic structure of the {\rm Ho} type. We use a self consistent solution of the Bogolioubov-de Gennes equations to evaluate the pair amplitude, the…

Superconductivity · Physics 2013-03-01 Chien-Te Wu , Oriol T. Valls , Klaus Halterman

The conductance in two-dimensional (2D) normal-superconducting (NS) systems is analyzed in the limit of strong magnetic fields when the transport is mediated by the electron-hole states bound to the sample edges and NS interface, i.e., in…

Superconductivity · Physics 2010-08-03 I. M. Khaymovich , N. M. Chtchelkatchev , I. A. Shereshevskii , A. S. Mel'nikov

The traditional Kubo formula is generalized to describe the linear response with respect to non-Abelian fields. To fulfil the demand for studying spin transport, the SU(2) Kubo formulae are derived by two conventional approaches with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pei-Qing Jin , You-Quan Li

We study the electronic transport in a graphene-based superconductor-normal(graphene)-superconductor (SNS) junction by use of the Dirac-Bogoliubov-de Gennes equation. We consider the properties of tunneling conductance through an undoped…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Dima Bolmatov , Chung-Yu Mou

Within the microscopic Bogoliubov--de Gennes (BdG) formalism an exact quantization condition for Andreev bound states of the ferromagnetic-superconducting hybrid systems of box geometry is derived and a semi-classical formula for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Cserti , J. Koltai , C. J. Lambert

Unconventional superconductivity is a desirable state of matter due to its potential for high transition temperatures $T_{\mathrm{c}}$ and associated favorable superconducting properties. However, the sign-changing nature of the order…

Superconductivity · Physics 2026-01-30 Sofie Castro Holbæk , Morten H. Christensen , Andreas Kreisel , Brian M. Andersen

We report on a novel mechanism of BCS-like superconductivity, mediated by a pair of Bogoliubov quasiparticles (bogolons). It takes place in hybrid systems consisting of a two-dimensional electron gas in a transition metal dichalcogenide…

Superconductivity · Physics 2021-06-16 Meng Sun , A. Parafilo , K. H. A. Villegas , V. M. Kovalev , I. G. Savenko