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The interplay of Anderson localization and electron-electron interactions is known to lead to enhancement of superconductivity due to multifractality of electron wave functions. We develop the theory of multifractally-enhanced…

超导电性 · 物理学 2022-11-23 E. S. Andriyakhina , I. S. Burmistrov

The interplay between electron-electron interactions and weak localization (or anti-localization) phenomena in two-dimensional systems can significantly enhance the superconducting transition temperature. We develop the theory of quantum…

超导电性 · 物理学 2024-11-01 E. S. Andriyakhina , P. A. Nosov , S. Raghu , I. S. Burmistrov

Mesoscopic fluctuations of the local density of states encode multifractal correlations in disorderedelectron systems. We study fluctuations of the local density of states in a superconducting state of weakly disordered films. We perform…

无序系统与神经网络 · 物理学 2021-11-05 M. Stosiek , F. Evers , I. S. Burmistrov

Eigenstate multifractality is a distinctive feature of non-interacting disordered metals close to a metal-insulator transition, whose properties are expected to extend to superconductivity. While multifractality in three dimensions (3D)…

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.…

We develop a semi-quantitative theory of electron pairing and resulting superconductivity in bulk "poor conductors" in which Fermi energy $E_F$ is located in the region of localized states not so far from the Anderson mobility edge $E_c$.…

超导电性 · 物理学 2015-05-18 M. V. Feigel'man , L. B. Ioffe , V. E. Kravtsov , E. Cuevas

Scanning tunneling spectroscopy at very low temperature on homogeneously disordered superconducting Titanium Nitride thin films reveals strong spatial inhomogeneities of the superconducting gap $\Delta$ in the density of states. Upon…

介观与纳米尺度物理 · 物理学 2009-11-13 B. Sacepe , C. Chapelier , T. I. Baturina , V. M. Vinokur , M. R. Baklanov , M. Sanquer

Superconductivity in disordered systems close to an incipient localization transition has been an area of investigation for many years. It has been noted that in such highly disordered superconductors, anomalous spectral weight develops in…

We study two mechanisms for enhancing the superconducting transition temperature Tc by nonmagnetic disorder in both conventional (sign-preserving gaps) and unconventional (sign-changing gaps) superconductors (SC). In the first scenario,…

超导电性 · 物理学 2018-11-27 Maria N. Gastiasoro , Brian M. Andersen

Many disordered superconducting films exhibit smeared tunneling spectra with evident in-gap states. We demonstrated that the tunneling density of states in ultrathin MoC films is gapless and can be described by the Dynes version of the BCS…

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 have shown that in systems where the Coulomb interaction is strongly suppressed, the superconducting transition temperature may be enhanced by disorder close to the Anderson localization transition. This phenomenon is based on the…

超导电性 · 物理学 2012-08-31 Vladimir Kravtsov

We develop a consistent treatment of disorder effects in strong coupling superconductors. We use two different approaches, starting either from above or below the transition temperature, and show their equivalence. The normal state approach…

超导电性 · 物理学 2007-05-23 Margit Steiner , Robert A Smith

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…

超导电性 · 物理学 2024-10-08 F. Yang , L. Q. Chen

The symmetry of the superconducting order parameter, or simply the ``gap'', provides certain constraints on the actual mechanism that gives rise to pairing and ultimately to superconductivity. In this work we show how superconducting phases…

超导电性 · 物理学 2025-05-14 Pramodh Senarath Yapa , Xinyu Guo , Joseph Maciejko , Frank Marsiglio

Superconducting heterostructures with spin-active materials have emerged as promising platforms for engineering topological superconductors featuring Majorana bound states at surfaces, edges and vortices. Here we present a method for…

超导电性 · 物理学 2012-08-09 Jens Michelsen , Roland Grein

A superconducting state is characterized by the gap in the electronic density of states which vanishes at the superconducting transition temperature Tc. It was discovered that in high temperature superconductors a noticeable depression in…

超导电性 · 物理学 2010-12-15 B. Sacepe , C. Chapelier , T. I. Baturina , V. M. Vinokur , M. R. Baklanov , M. Sanquer

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

At low temperature, the concentration of quasiparticles observed in superconducting circuits far exceeds the predictions of microscopic BCS theory at equilibrium. As a source of dissipation, these excess quasiparticles degrade the…

超导电性 · 物理学 2025-12-18 Romy Morin , Denis M. Basko , Manuel Houzet , Julia S. Meyer

In this paper we develop a theory of mesoscopic fluctuations in disordered thin superconducting films in a parallel magnetic field. At zero temperature and sufficiently strong magnetic field the system undergoes a phase transition into a…

超导电性 · 物理学 2007-05-23 F. Zhou , B. Spivak
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