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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

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 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

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

We study s-wave superconductivity in the two-dimensional square lattice attractive Hubbard Hamiltonian for various inhomogeneous patterns of interacting sites. Using the Bogoliubov-de Gennes (BdG) mean field approximation, we obtain the…

Superconductivity · Physics 2009-11-13 K. Aryanpour , T. Paiva , W. E. Pickett , R. T. Scalettar

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…

As a prototype of a disordered superconductor we consider the attractive Hubbard model with on-site disorder. We solve the Bogoljubov-de-Gennes equations on two-dimensional finite clusters at zero temperature and evaluate the…

Superconductivity · Physics 2012-05-22 G. Seibold , L. Benfatto , C. Castellani , J. Lorenzana

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

Disorder can be utilized as an effective parameter to probe the interplay between two long range orders such as superconductivity and charge density wave. In the present work, we report on the experimental evidence for filamentary…

Superconductivity · Physics 2025-03-19 M. Singh , P. Saha , A. Chahar , B. Birajdar , D. K. Shukla , S. Patnaik

We compare different scenarios for the low temperature splitting of the zero-energy peak in the local density of states at (110) surfaces of d_{x^2-y^2}-wave superconductors, observed by Covington et al. (Phys.Rev.Lett.79 (1997), 277).…

Superconductivity · Physics 2009-10-31 Carsten Honerkamp , Katsunori Wakabayashi , Manfred Sigrist

We investigate the effects of disorder on a system that in the clean limit is a pair density wave (PDW) superconductor. The charge order of the clean PDW is inevitably lost (via Imry-Ma), but the fate of the superconducting order is less…

Strongly Correlated Electrons · Physics 2025-09-26 Julian May-Mann , Akshat Pandey , Steven A. Kivelson

We explore correlations of inhomogeneous local density of states (LDoS) for impure superconductors with different symmetries of the order parameter (s-wave and d-wave) and different types of scatterers (elastic and magnetic impurities). It…

Superconductivity · Physics 2012-06-08 A. E. Koshelev , A. A. Varlamov

Within the phase fluctuation picture for the pseudogap state of a high-$T_{c}$ superconductor, we incorporate the phase fluctuations generated by the classical XY model with the Bogoliubov-de Gennes formalism utilizing a field-theoretical…

Superconductivity · Physics 2008-09-26 Wonkee Kim , Yan Chen , C. S. Ting

We investigate the symmetry of the superconducting order parameter in the proximity of a phase-separation or of an incommensurate charge-density-wave instability. The attractive effective interaction at small or intermediate transferred…

Condensed Matter · Physics 2009-10-28 A. Perali , C. Castellani , C. Di Castro , M. Grilli

Recent experiments strongly indicate deep connections between transports of strange metal and high $T_c$ superconductors. For instance, it is known that the dependence of the zero-temperature phase stiffness on the critical superconducting…

High Energy Physics - Theory · Physics 2025-02-18 Zhenguo Wang , Xian-Hui Ge , Shuta Ishigaki

We investigate the effects of disorder in a hybridized two-dimensional two-band s-wave superconductor model. The situation in which electronic orbitals form these bands with angular momentum such that the hybridization $V_{i,j}$ among them…

Superconductivity · Physics 2023-11-08 Heron Caldas , S. Rufo , M. A. R. Griffith

Inhomogeneity is introduced through random local interactions (Ui) in an attractive Hubbard model on a square lattice and studied using mean-field Bogoliubov-de Gennes formalism. Superconductivity is found to get suppressed by the random Ui…

Superconductivity · Physics 2009-11-13 Budhaditya Chatterjee , A. Taraphder

We study the effects of disorder on a system of two coupled chain of strongly correlated fermions (ladder system), using renormalization group. The stability of the phases of the pure system is investigated as a function of interactions…

Strongly Correlated Electrons · Physics 2009-10-30 E. Orignac , T. Giamarchi

We study the influence of diagonal disorder (random site energy) of local pair (LP) site energies on the superconducting properties of a system of coexisting local pairs and itinerant electrons described by the (hard-core) boson-fermion…

Superconductivity · Physics 2013-05-29 G. Pawlowski , R. Micnas , S. Robaszkiewicz

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