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We study the interplay of superconductivity and disorder by solving numerically the Bogoliubov-de-Gennes equations in a two dimensional lattice of size $80\times80$ which makes possible to investigate the weak-coupling limit. In contrast…

Superconductivity · Physics 2020-03-25 Bo Fan , Antonio M. García-García

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

Recent experiments on disordered superconductors find that the superfluid density $n_s(T)$ decreases dramatically and characteristically with disorder, differently from what is expected for a mean order parameter field or BCS, amplitude…

Superconductivity · Physics 2020-07-15 Sudhansu S. Mandal , T. V. Ramakrishnan

The highly convergent form of superfluid density in disordered conventional superconductors available in the literature and independently obtained by us following the approach of an earlier paper [Phys. Rev. B $\bm{102}$, 024514 (2020)] has…

Superconductivity · Physics 2022-06-22 Surajit Dutta , Pratap Raychaudhuri , Sudhansu S. Mandal , T. V. Ramakrishnan

Understanding the roles of disorder and superconducting phase fluctuation in superconductivity has been a long-standing challenge. For example, while the phase fluctuation is expected to destroy the superconductivity of intrinsically…

Superconductivity · Physics 2024-10-08 F. Yang , L. Q. Chen

We study the effect of disorder symmetry in a disordered s-wave superconductor. We begin with an attractive Hubbard model on a two-dimensional square lattice in the presence of diagonal- and off-diagonal disorder. The model is studied…

Superconductivity · Physics 2013-02-11 Sanjeev Kumar , Prabuddha B. Chakraborty

At zero temperature, homogeneous interacting Bose-condensed fluids are entirely superfluid, with remarkable transport properties. A non-superfluid, normal component is induced by finite temperatures and spatial inhomogeneity, the combined…

Quantum Gases · Physics 2026-02-26 Cord A. Müller

We present a field-theory description of ultracold bosonic atoms in presence of a disordered external potential. By means of functional integration techniques, we aim to investigate and review the interplay between disordered energy…

Quantum Gases · Physics 2019-06-18 Alberto Cappellaro , Luca Salasnich

The possibility that disorder may stabilize a superfluid phase of para-hydrogen in two dimensions is investigated theoretically by means of Quantum Monte Carlo simulations. We model disorder using a random distribution of scatterers, and…

Other Condensed Matter · Physics 2008-10-15 Joseph Turnbull , Massimo Boninsegni

We study the effects of disorder on a holographic superconductor by introducing a random chemical potential on the boundary. We consider various realizations of disorder and find that the critical temperature for superconductivity is…

High Energy Physics - Theory · Physics 2014-06-23 Daniel Arean , Arya Farahi , Leopoldo A. Pando Zayas , Ignacio Salazar Landea , Antonello Scardicchio

We study the two-dimensional weakly repulsive Bose gas at zero temperature in the presence of correlated disorder. Using large-scale simulations, we show that the low-energy Bogoliubov cumulative density of states remains quadratic up to a…

Quantum Gases · Physics 2014-10-29 Joseph Saliba , Pierre Lugan , Vincenzo Savona

We analyze the complex interplay of the strong correlations and impurities in a high temperature superconductor and show that both the nature and degree of the inhomogeneities at zero temperature in the local order parameters change…

Superconductivity · Physics 2015-06-18 Debmalya Chakraborty , Amit Ghosal

We consider excitation of Higgs modes via the modulation of the BCS coupling within the Migdal-Eliashberg-Keldysh theory of time-dependent superconductivity. Despite the presence of phonons, which break integrability, we observe Higgs…

Superconductivity · Physics 2025-01-15 Andrey Grankin , Victor Galitski , Vadim Oganesyan

An XY model with random phase shifts as a model for a superconducting glass is studied in two and three dimensions by a zero temperature domain wall renormalization group which allows one to follow the flows of both the coupling constant…

Superconductivity · Physics 2009-10-30 J. M. Kosterlitz , M. V. Simkin

Using the generalized DMFT+Sigma approach we have studied disorder influence on single-particle properties of the normal phase and superconducting transition temperature in attractive Hubbard model. The wide range of attractive potentials U…

Superconductivity · Physics 2018-10-12 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

The effect of non-magnetic impurities on 2D s-wave superconductors is studied beyond the weak disorder regime. Within the Bogoliubov-de Gennes (BdG) framework, the local pairing amplitude develops a broad distribution with significant…

Superconductivity · Physics 2009-10-31 Amit Ghosal , Mohit Randeria , Nandini Trivedi

We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid…

Disordered Systems and Neural Networks · Physics 2016-01-27 Matthias Gerster , Matteo Rizzi , Ferdinand Tschirsich , Pietro Silvi , Rosario Fazio , Simone Montangero

Phase fluctuations of the superconducting order parameter play a larger role in the cuprates than in conventional BCS superconductors because of the low superfluid density of a doped insulator. In this paper, we analyze an XY model of…

Superconductivity · Physics 2009-10-31 E. W. Carlson , S. A. Kivelson , V. J. Emery , E. Manousakis

We explore the role of phase fluctuations in a 3-dimensional s-wave superconductor, NbN, as we approach the critical disorder for the destruction of the superconducting state. Scanning tunneling spectroscopy measurements reveal that in the…

We argue that the standard Abrikosov-Gorkov (AG) type theory of $T_c$ in disordered $d$-wave superconductors breaks down in short coherence length high-$T_c$ cuprates. Numerical calculations within the Bogoliubov-de Gennes formalism…

Superconductivity · Physics 2009-10-28 M. Franz , C. Kallin , A. J. Berlinsky , M. I. Salkola
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