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We present a review of theoretical and experimental works on the problem of mutual interplay of Anderson localization and superconductivity in strongly disordered systems. We start with brief discussion of modern aspects of localization…

无序系统与神经网络 · 物理学 2008-02-03 M. V. Sadovskii

We investigate validity of Anderson's theorem (AT) for disordered s-wave superconductors in a negative U Hubbard model with random on-site energies, $\epsilon_{i}$. The superconducting critical temperature, $T_{c}$, is calculated in the…

超导电性 · 物理学 2020-01-09 Rostam Moradian , Hamzeh Mousavi

Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and…

介观与纳米尺度物理 · 物理学 2012-01-10 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

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…

超导电性 · 物理学 2018-11-21 John F. Dodaro , Steven A. Kivelson

Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence…

超导电性 · 物理学 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

There is growing evidence, from experiments and numerical simulations, that a key feature of sufficiently disordered superconductors is the spatial inhomogeneity of the order parameter. However not much is known analytically about the…

超导电性 · 物理学 2015-12-02 James Mayoh , Antonio M. García-García

We study the disorder effects upon superconducting transition temperature T_c and the number of local pairs in attractive Hubbard model within the combined Nozieres - Schmitt-Rink and DMFT+\Sigma approximations. We analyze the wide range of…

超导电性 · 物理学 2018-10-12 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

By taking advantage of a stability criterion established recently, the critical temperature $T_c$ is reckoned with help of the microscopic parameters, characterising the normal and superconducting electrons, namely the independent-electron…

综合物理 · 物理学 2021-08-11 Jacob Szeftel , Nicolas Sandeau , Michel Abou Ghantous , Muhammad El-Saba

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…

超导电性 · 物理学 2018-10-12 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

We investigate the behavior of the thermoelectric power [S] in disordered systems close to the Anderson-type metal-insulator transition [MIT] at low temperatures. In the literature, we find contradictory results for S. It is either argued…

无序系统与神经网络 · 物理学 2017-09-27 C. Villagonzalo , R. A. Roemer

On the basis of the recently proposed self-consistent theory of metal- insulator transition in strongly disordered systems, taking into account interaction effects, we study transition temperature $T_{c}$ suppression in disordered…

超导电性 · 物理学 2009-10-28 E. Z. Kuchinskii , M. V. Sadovskii , M. A. Erkabaev

Effects of non-magnetic disorder on the critical temperature T_c and on diamagnetism of quasi-one-dimensional superconductors are reported. The energy of Josephson-coupling between wires is considered to be random, which is typical for…

超导电性 · 物理学 2015-05-27 E. Nakhmedov , R. Oppermann

We study the competition between disorder and singlet superconductivity in a quasi-1d system. We investigate the applicability of the Anderson theorem, namely that time-reversal conserving (non-magnetic) disorder does not impact the…

无序系统与神经网络 · 物理学 2024-07-17 Giacomo Morpurgo , Thierry Giamarchi

We study analytically the metal-insulator transition in a disordered conductor by combining the self-consistent theory of localization with the one parameter scaling theory. We provide explicit expressions of the critical exponents and the…

无序系统与神经网络 · 物理学 2009-11-13 Antonio M. Garcia-Garcia

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…

超导电性 · 物理学 2009-11-13 D. Dalidovich , A. J. Berlinsky , C. Kallin

We study a disordered weakly-coupled superconductor around the Anderson transition by solving numerically the Bogoliubov-de Gennes (BdG) equations in a three dimensional lattice of size up to $20\times20\times20$ in the presence of a random…

超导电性 · 物理学 2020-11-18 Bo Fan , Antonio M. García-García

Based on a local mean-field theory approach at Anderson localization, we find a distribution function of critical temperature from that of disorder. An essential point of this local mean-field theory approach is that the information of the…

无序系统与神经网络 · 物理学 2016-05-18 Rayda Gammag , Ki-Seok Kim

We investigate the single normal impurity effect in a superconductor by the holographic method. When the size of impurity is much smaller than the host superconductor, we can reproduce the Anderson theorem, which states that a conventional…

高能物理 - 理论 · 物理学 2015-12-09 Hua Bi Zeng , Hai-Qing Zhang

We first argue that the collective behaviour of the Cooper pairs created by thermal fluctuations well above the superconducting transition temperature, Tc, is dominated by the uncertainty principle which, in particular, leads to a…

We study disorder effects upon the temperature behavior of the upper critical magnetic field in attractive Hubbard model within the generalized $DMFT+\Sigma$ approach. We consider the wide range of attraction potentials $U$ - from the weak…

超导电性 · 物理学 2017-12-11 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii
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