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The distribution function of local amplitudes of eigenstates of a two-dimensional disordered metal is calculated. Although the distribution of comparatively small amplitudes is governed by laws similar to those known from the random matrix…

Condensed Matter · Physics 2016-08-31 Vladimir I. Fal'ko , K. B. Efetov

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.…

Systems with the power-law quasiparticle dispersion $\epsilon_{\bf k}\propto k^\alpha$ exhibit non-Anderson disorder-driven transitions in dimensions $d>2\alpha$, as exemplified by Weyl semimetals, 1D and 2D arrays of ultracold ions with…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 S. V. Syzranov , V. Gurarie , L. Radzihovsky

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…

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…

Superconductivity · Physics 2022-11-23 E. S. Andriyakhina , I. S. Burmistrov

The emergence of two-dimensional (2D) superconductivity in bulk transition metal dichalcogenides (TMDs) is a fascinating area of research, as their weak interlayer coupling leads to novel superconducting behavior and offers a rich platform…

Superconductivity · Physics 2025-11-04 P. Manna , S. Sharma , T. Agarwal , S. Srivastava , P. Mishra , R. P. Singh

Understanding the stochastic properties of conductance fluctuations in disordered mesoscopic systems is fundamental to quantum transport. In this work, we investigate the multifractal and ergodic properties of the fictitious time series of…

The interplay between charge transfer and electronic disorder in transition-metal dichalcogenide multilayers gives rise to superconductive coupling driven by proximity enhancement, tunneling and superconducting fluctuations, of a yet…

Scanning tunneling spectroscopy was performed on single crystals of superconducting 2H-NbSe2, at 300 mK and in a magnetic field, up to 5 T, applied parallel to the ab-plane. This novel field geometry allows the quasiparticle…

Superconductivity · Physics 2011-11-01 I. Fridman , C. Kloc , J. Y. T. Wei

The multifractal properties of electronic eigenstates at the metal-insulator transition of a two-dimensional disordered tight-binding model with spin-orbit interaction are investigated numerically. The correlation dimensions of the spectral…

Condensed Matter · Physics 2009-10-28 Ludwig Schweitzer

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 M. V. Feigel'man , L. B. Ioffe , V. E. Kravtsov , E. A. Yuzbashyan

The multifractal superconducting state originates from the interplay of Anderson localization and interaction effects. In this article we overview the recent theory of the superconductivity enhancement by multifractality and extend it to…

Mesoscale and Nanoscale Physics · Physics 2021-06-08 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

The interplay of superconductivity and disorder generates a wealth of complex phenomena. In particular, the peculiar structure of diffusive electronic wavefunctions is predicted to increase the superconducting critical temperature in some…

Superconductivity · Physics 2023-05-17 Mathieu Lizée , Matthias Stosiek , Christophe Brun , Igor Burmistrov , Tristan Cren

Properties of layered superconductors can vary drastically when thinned down from bulk to monolayer, owing to the reduced dimensionality and weakened interlayer coupling. In transition metal dichalcogenides (TMDs), the inherent symmetry…

The transition metal dichalcogenide PdTe$_2$ was recently shown to be a unique system where a type II Dirac semimetallic phase and a superconducting phase co-exist. This observation has led to wide speculation on the possibility of the…

Superconductivity · Physics 2018-01-31 Shekhar Das , Amit , Anshu Sirohi , Lalit Yadav , Sirshendu Gayen , Yogesh Singh , Goutam Sheet

Hyperuniform many-body systems in $d$-dimensional Euclidean space are characterized by completely suppressed (normalized) infinite-wavelength density fluctuations, and appear to be endowed with novel exotic physical properties. In this…

Soft Condensed Matter · Physics 2021-06-09 Duyu Chen , Yu Zheng , Chia-Hao Lee , Sangmin Kang , Wenjuan Zhu , Houlong Zhuang , Pinshane Y. Huang , Yang Jiao

The fluctuation conductivity $\sigma_{\rm s}$ in bulk superconductors with non s-wave pairing and with nonmagnetic disorder of strength $D$ is studied at low $T$ and within the Gaussian approximation. It is shown by assuming a quasi…

Superconductivity · Physics 2009-11-07 Hiroto Adachi , Ryusuke Ikeda

The fluctuation-diamagnetism (FD) above the superconducting transition was measured in 2H-NbSe2 single crystals. The moderate uniaxial anisotropy of this compound, and some experimental improvements, allowed to measure the superconducting…

Superconductivity · Physics 2015-06-25 F. Soto , H. Berger , L. Cabo , C. Carballeira , J. Mosqueira , D. Pavuna , F. Vidal

In the presence of multiple bands, well-known electronic instabilities may acquire new complexity. While multiband superconductivity is the subject of extensive studies, the possibility of multiband charge density waves (CDWs) has been…

This article reports the successful synthesis of single crystalline two-dimensional thin flakes of NbSe$_2$. The XRD pattern of the grown crystal ensured its crystallization in a single phase with a hexagonal structure. The EDAX endorsed…

Superconductivity · Physics 2024-06-28 N. K. Karn , M. M. Sharma , I. Felner , V. P. S. Awana
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