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Related papers: Microscopic study of inhomogeneous superconductors

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We test the Anderson prescription [1], a BCS formalism for describing superconductivity in inhomogeneous systems, and compare results with those obtained from the Bogoliubov-de Gennes formalism, using the attractive Hubbard model with…

Superconductivity · Physics 2009-10-31 K. Tanaka , F. Marsiglio

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

In order to incorporate spatial inhomogeneity due to nonmagnetic impurities, Anderson [1] proposed a BCS-type theory in which single-particle states in such an inhomogeneous system are used. We examine Anderson's proposal, in comparison…

Superconductivity · Physics 2015-06-24 K. Tanaka , F. Marsiglio

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 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

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 study the superconducting order parameter near a surface with the Bogoliubov-de Gennes formalism. For definiteness we use the attractive Hubbard model. Near a surface, the order parameter and the density distribution exhibit…

Superconductivity · Physics 2009-11-10 K. Tanaka , F. Marsiglio

Nanoscale inhomogeneity seems to be a central feature of the d-wave superconductivity in the cuprates. Such a feature can strongly affect the local density of states (LDOS) and the spectral weight functions. Within the Bogoliubov-de Gennes…

Superconductivity · Physics 2007-05-23 Ming Cheng , W. P. Su

Inhomogeneous s-wave superconductivity is studied in the two-dimensional, square lattice attractive Hubbard Hamiltonian using the Bogoliubov-de Gennes (BdG) mean field approximation. We find that at weak coupling, and for densities mainly…

Superconductivity · Physics 2009-11-11 K. Aryanpour , E. R. Dagotto , M. Mayr , T. Paiva , W. E. Pickett , R. T. Scalettar

Anderson's theorem states that non-magnetic impurities do not change the bulk properties of conventional superconductors. However, as the dimensionality is reduced, the effect of impurities becomes more significant. Here we investigate…

Superconductivity · Physics 2017-10-25 L. -F. Zhang , L. Covaci , F. M. Peeters

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

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

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

We study the superconducting proximity effect in inhomogeneous systems in which a disordered or quasicrystalline normal-state wire is connected to a BCS superconductor. We self-consistently compute the local superconducting order parameters…

Superconductivity · Physics 2020-11-04 Gautam Rai , Stephan Haas , Anuradha Jagannathan

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 calculate transport properties of disordered 2D d-wave superconductors from solutions of the Bogoliubov-de Gennes equations, and show that weak localization effects give rise to a finite frequency peak in the optical conductivity similar…

Superconductivity · Physics 2009-11-07 W. A. Atkinson , P. J. Hirschfeld

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 study a short coherence length d-wave superconductor with finite density of unitary scatterers using the Bogoliubov-deGennes technique. We find that the low-energy density of states is reduced, the superfluid stiffness is significantly…

Superconductivity · Physics 2007-05-23 Amit Ghosal , Mohit Randeria , Nandini Trivedi

We propose a new type of non-uniform condensate state in the presence of time-reversal symmetry. The underlying platform of this state is a corrugated honeycomb lattice which exhibits an inhomogeneous pseudo magnetic field. Using the…

Superconductivity · Physics 2016-05-30 Mir Vahid Hosseini

In this article we study superconductor-insulator transitions within the general framework of an attractive Hubbard model. This is a well-defined model of s-wave superconductivity which permits different tuning parameters (disorder and…

Superconductivity · Physics 2013-09-19 Yen Lee Loh , Nandini Trivedi
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