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It has long been established that disorder has profound effects on unconventional superconductors and it has been suggested repeatedly that observation and analysis of these disorder effects can help to identify the order parameter…

Superconductivity · Physics 2007-05-23 Carsten T. Rieck , Kurt Scharnberg , Simon Scheffler

We show that at the level of BCS mean-field theory, the superconducting $T_c$ is always increased in the presence of disorder, regardless of order parameter symmetry, disorder strength, and spatial dimension. This result reflects the…

Superconductivity · Physics 2018-11-21 John F. Dodaro , Steven A. Kivelson

The superfluid density near the superconducting transition is investigated in the presence of spatial inhomogeneity in the critical temperature. Disorder is accounted for by means of a random $T_c$ term in the conventional Ginzburg-Landau…

Superconductivity · Physics 2009-11-13 D. Dalidovich , A. J. Berlinsky , C. Kallin

We study the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske

We consider different effects that arise when time-reversal symmetry breaking superconductors are subjected to an external magnetic field, thus rendering the superconductor to be in the mixed state. We focus in particular on two…

Superconductivity · Physics 2009-11-13 Mihail A. Silaev , Takehito Yokoyama , Jacob Linder , Yukio Tanaka , Asle Sudbø

Within ten years, flat band (FB) superconductivity has gained a huge interest for its remarkable features and connection to quantum geometry. We investigate the superconductivity in a FB system whose orbitals are inequivalent and in which…

Superconductivity · Physics 2023-10-09 M. Thumin , G. Bouzerar

Recently, the possibility of high-temperature superconductivity (SC) in flat-band (FB) systems has been the focus of a great deal of activity. This study reveals that unlike conventional intra-band SC for which disorder has a dramatic…

Superconductivity · Physics 2025-12-09 Georges Bouzerar , Maxime Thumin

Nonmagnetic impurity scattering is known to shift up the Ginzburg-Landau parameter $\kappa$ of a superconductor. In this case, when the system is initially in type I, it can change its magnetic response, crossing the intertype domain with…

Superconductivity · Physics 2023-09-22 P. M. Marychev , A. A. Shanenko , A. Vagov

We investigate the nonequilibrium pair density wave order parameter in a simple microscopic model with the ground state $d-$ wave spatially uniform superconductivity. After pushing the system out of equilibrium by a short-time induced order…

Superconductivity · Physics 2019-12-17 Mikhail Malakhov , Maxim Avdeev

We study the effect of site diagonal disorder on the pairing amplitude by a perturbation method. Using an extended Hubbard model with the intersite attraction we analyze fluctuations of order parameter in presence of non-magnetic disorder…

Superconductivity · Physics 2007-05-23 G. Litak

Nontrivial quantum geometry of electronic bands has been argued to facilitate superconductivity even for the case of flat dispersions where the conventional contribution to the superfluid weight is suppressed by the large effective mass.…

Superconductivity · Physics 2025-12-24 Maximilian Buthenhoff , Tobias Holder , Michael M. Scherer

In the theoretical analyses of impurity effects in superconductors the assumption is usually made that all quantities, except for the Green functions, are slowly varying functions of energy. When this so-called Fermi Surface Restricted…

Superconductivity · Physics 2007-05-23 C. T. Rieck , K. Scharnberg , S. Scheffler

We study the superconducting proximity effect between a conventional semiconductor and a disordered s-wave superconductor. We calculate the effective momentum relaxation rate in the semiconductor due to processes involving electron…

Superconductivity · Physics 2012-04-25 Roman M. Lutchyn , Tudor D. Stanescu , S. Das Sarma

We show that due to the Landau band mixing the eigenstate localization within the disordered bands get an asymmetric structure: the degree of localization increases in the lower part of the band and decreases in the upper one. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Aldea , M. Nita

The superconducting diode effect (SDE) -- the nonreciprocity of the critical current in a bulk superconductor -- has garnered significant attention due to its potential applications in superconducting electronics. However, the role of…

Superconductivity · Physics 2025-05-13 Jaglul Hasan , Daniel Shaffer , Maxim Khodas , Alex Levchenko

For the Nonlinear Shr\"odinger Equation with disorder it was found numerically that in some regime of the parameters Anderson localization is destroyed and subdiffusion takes place for a long time interval. It was argued that the nonlinear…

Disordered Systems and Neural Networks · Physics 2014-09-16 Erez Michaely , Shmuel Fishman

A new super-symmetric representation for quantum disordered systems is derived. This representation is exact and is dual to that of the nonlinear sigma-model. The new formalism is tested by calculating the distribution of wave function…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. Ossipov , V. E. Kravtsov

Quantum geometry has been shown to make an important contribution to the superfluid stiffness of superconductors, especially for flat-band systems such as moir\'e materials. In this work we use mean-field theory to derive an expression for…

Superconductivity · Physics 2026-01-19 Yongxin Zeng , Andrew J. Millis

Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

Whether the Anderson localization can survive from the weak enough nonlinear interaction is still an open question. In this Letter, we study the effect of nonlinear interaction on disordered chain based on the wave turbulence theory. It is…

Statistical Mechanics · Physics 2020-10-13 Wang Zhen , Fu Weicheng , Zhang Yong , Zhao Hong
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