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We develop a theory of a pseudogap state appearing near the superconductor-insulator transition in strongly disordered metals with attractive interaction. We show that such an interaction combined with the fractal nature of the single…

Superconductivity · Physics 2007-05-23 Michael V. Feigel'man , Lev B. Ioffe , Emil A. Yuzbashyan

We report a numerical analysis of Anderson localization in a model of a doped semiconductor. The model incorporates the disorder arising from the random spatial distribution of the donor impurities and takes account of the electron-electron…

Materials Science · Physics 2015-06-04 Yosuke Harashima , Keith Slevin

Although topological Anderson insulator has been predicted in 2009, the lasting investigations of this disorder established nontrivial state results in only two experimental observations in cold atoms [Science, {\bf 362 },929 (2018)] and in…

Disordered Systems and Neural Networks · Physics 2019-11-27 Zhi-Qiang Zhang , Bing-Lan Wu , Juntao Song , Hua Jiang

Non-magnetic impurities are known as strong pair breakers in superconductors with pure d-wave pairing symmetry. Here we discuss d-wave states under the combined influence of impurities and competing instabilities, such as pairing in a…

Superconductivity · Physics 2009-11-10 Serge Florens , Matthias Vojta

We investigate the effect of strong disorder on a system with strong electronic repulsion. In absence of disorder, the system has a d-wave superconducting ground-state with strong non-BCS features due to its proximity to a Mott insulator.…

Superconductivity · Physics 2017-02-01 Debmalya Chakraborty , Rajdeep Sensarma , Amit Ghosal

Anderson localization is a striking phenomenon wherein transport of light is arrested due to the formation of disorder-induced resonances. Hitherto, Anderson localization has been demonstrated separately in two limits of disorder, namely,…

We have studied the effect of a random superconducting order parameter on the localization of quasi-particles, by numerical finite size scaling of the Bogoliubov-de Gennes tight-binding Hamiltonian. Anderson localization is obtained in d=2…

Superconductivity · Physics 2016-08-31 D. E. Katsanos , S. N. Evangelou , C. J. Lambert

A well-known result in unconventional superconductivity is the fragility of nodal superconductors against nonmagnetic impurities. Despite this common wisdom, Bi$_2$Se$_3$-based topological superconductors have recently displayed unusual…

Superconductivity · Physics 2020-03-03 Lionel Andersen , Aline Ramires , Zhiwei Wang , Thomas Lorenz , Yoichi Ando

The effect of disorder on the electronic properties near the Mott transition is studied in an organic superconductor $\kappa$-(BEDT-TTF)$_{2}$Cu[N(CN)$_{2}$]Br, which is systematically irradiated by X-ray. We observe that X-ray irradiation…

Strongly Correlated Electrons · Physics 2010-06-03 K. Sano , T. Sasaki , N. Yoneyama , N. Kobayashi

Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness. Moving beyond traditional multi-impurity scenarios, we investigate…

Disordered Systems and Neural Networks · Physics 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali

An intricate interplay between superconductivity, pseudogap and Mott transition, either bandwidth driven or doping driven, occurs in materials. Layered organic conductors and cuprates offer two prime examples. We provide a unified…

Strongly Correlated Electrons · Physics 2012-08-02 G. Sordi , P. Sémon , K. Haule , A. -M. S. Tremblay

Employing a quantum Monte Carlo simulation we find a pairing instability in the normal state of the infinite dimensional periodic Anderson model. Superconductivity arises from a normal state in which the screening is protracted and which is…

Strongly Correlated Electrons · Physics 2017-08-23 A. N. Tahvildar-Zadeh , M. H. Hettler , M. Jarrell

We reconsider the ordinary impurity effect on the transition temperature $T_{c}$ of superconductors using the Eliashberg formalism. It is shown that the correspondence principle, which relates strong-coupling and weak-coupling theories,…

Superconductivity · Physics 2007-05-23 Yong-Jihn Kim

Disorder-induced Anderson localization in quasiparticle transport is a challenging problem to address, even more so in the presence of dissipation as the symptoms of disorder-induced localization are very closely simulated by the absorption…

Optics · Physics 2018-11-21 M. Balasubrahmaniyam , Ajay Nahata , Sushil Mujumdar

The interplay between disorder and superconductivity is a subtle and fascinating phenomenon in quantum many body physics. The conventional superconductors are insensitive to dilute nonmagnetic impurities, known as the Anderson's theorem.…

Anderson localization is a universal phenomenon affecting non-interacting quantum particles in disorder. In three spatial dimensions it becomes particularly interesting to study because of the presence of a quantum phase transition from…

We discuss the effect of disorder on the coherent propagation of the bound state of two attracting particles. It is shown that a result analogous to the Anderson theorem for dirty superconductors is also valid for the Cooper problem,…

Superconductivity · Physics 2009-10-30 M. A. N. Araujo , M. Dzierzawa , C. Aebischer , D. Baeriswyl

We study the phase diagrams and thermodynamic properties of a system of coexisting itinerant electrons and local pairs (LP), in the presence of diagonal disorder. The model considered takes into account both the charge exchange couplings,…

Superconductivity · Physics 2007-05-23 Stanisław Robaszkiewicz , Grzegorz Pawłowski

We study the spreading of initially localized excitations in 1D disordered granular crystals. We thereby investigate localization phenomena in strongly nonlinear systems, which we demonstrate to be fundamentally different from localization…

Disordered Systems and Neural Networks · Physics 2016-02-17 Alejandro J. Martínez , P. G. Kevrekidis , Mason A. Porter

We consider the effect of strong electron-electron attraction on superconductivity in the dilute system of the negative U-centers. They couple to the conducting electronic states and mediate attraction between electrons. We predict the…

Superconductivity · Physics 2020-12-24 Alexander Yu. Zyuzin