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The competition between superconductivity and localization raises profound questions in condensed matter physics. In spite of decades of research, the mechanism of the superconductor-insulator transition (SIT) and the nature of the…

Superconductivity · Physics 2013-09-19 Karim Bouadim , Yen Lee Loh , Mohit Randeria , Nandini Trivedi

It is well known that the metal-insulator transition in two dimensions for non-interacting fermions takes place at infinitesimal disorder. In contrast, the superconductor-to-insulator transition takes place at a finite critical disorder (on…

Superconductivity · Physics 2013-09-20 Nandini Trivedi , Yen Lee Loh , Karim Bouadim , Mohit Randeria

We provide a microscopic-level derivation of earlier results showing that, in the critical vicinity of the superconductor-to-insulator transition (SIT), disorder and localization become negligible and the structure of the emergent phases is…

Superconductivity · Physics 2021-06-02 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur

A quantum phase transition is a dramatic event marked by large spatial and temporal fluctuations, where one phase of matter with its ground state and tower of excitations reorganizes into a completely different phase. We provide new insight…

Superconductivity · Physics 2014-04-11 Mason Swanson , Yen Lee Loh , Mohit Randeria , Nandini Trivedi

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 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

Recent experimental studies on strongly disordered indium oxide films have revealed an unusual first-order quantum phase transition between the superconducting and insulating states (SIT). This transition is characterized by a discontinuous…

Superconductivity · Physics 2024-08-28 Igor Poboiko , Mikhail Feigel'man

We show that the nature of quantum phases around the superconductor-insulator transition (SIT) is controlled by charge-vortex topological interactions and does not depend on the details of material parameters and disorder. We find three…

Superconductivity · Physics 2018-10-17 M. Cristina Diamantini , Luca Gammaitoni , Carlo A. Trugenberger , Valerii M. Vinokur

The current understanding of the superconductor-insulator transition is discussed level by level in a cyclic spiral-like manner. At the first level, physical phenomena and processes are discussed which, while of no formal relevance to the…

Superconductivity · Physics 2010-04-22 V. F. Gantmakher , V. T. Dolgopolov

We consider a two dimensional semiconductor with a local attraction among the carriers. We study the ground state of this system as a function of the semiconductor gap. We find a direct transition from a superconducting to an insulating…

Superconductivity · Physics 2009-10-31 P. Nozieres , F. Pistolesi

We study a two-dimensional model of an isolated narrow topological band at partial filling with local attractive interactions. Numerically exact quantum Monte Carlo calculations show that the ground state is a superconductor with a critical…

Strongly Correlated Electrons · Physics 2020-11-18 Johannes S. Hofmann , Erez Berg , Debanjan Chowdhury

We explore the role of phase fluctuations in a 3-dimensional s-wave superconductor, NbN, as we approach the critical disorder for the destruction of the superconducting state. Scanning tunneling spectroscopy measurements reveal that in the…

Superconductor-insulator transition driven by the decreasing concentration of electrons $n$ is studied in the case of the disorder potential created by randomly positioned charged impurities. Electrons and Cooper pairs (formed by an…

Superconductivity · Physics 2009-11-13 B. I. Shklovskii

Pseudogap formation is an ubiquitous phenomena in strongly-correlated superconductors, for example cuprates, heavy-fermion superconductors, and iron pnictides. As the system is cooled, an energy gap opens in the excitation spectrum before…

Strongly Correlated Electrons · Physics 2015-06-16 Chyh-Hong Chern

While insensitive to weak non magnetic disorder, an s-wave superconductor can be driven insulating by strong disorder. Using a scheme that captures the correct ground state, and fully retains thermal amplitude and phase fluctuations, we…

Superconductivity · Physics 2015-06-18 Sabyasachi Tarat , Pinaki Majumdar

The existence of a pseudogap above the critical temperature has been widely used to explain the anomalous behaviour of the normal state of high-temperature superconductors. In two dimensions the existence of a pseudogap phase has already…

Superconductivity · Physics 2015-06-25 Rachel M. Quick , Sergei G. Sharapov

The superconductor-insulator transition as a paradigm of quantum phase transitions has attracted tremendous interest over the past three decades. While the magnetic field and carrier density can be tuned to drive the transition, the role of…

Superconductivity · Physics 2026-05-04 Guanyang He , Ziqiao Wang , Longxin Pan , Yuxuan Lei , Fa Wang , Yi Liu , Nandini Trivedi , Jian Wang

Advances in scanning tunneling spectroscopy reveal the presence of superconducting nanoregions well past the bulk thermal transition in strongly disordered superconductors. We use a Monte Carlo tool to capture the spatially differentiated…

Strongly Correlated Electrons · Physics 2014-06-23 Sabyasachi Tarat , Pinaki Majumdar

The interplay between disorder and superconductivity has intrigued physicists for decades. Of particular interest is the influence of disorder on the superconducting energy gap $\Delta$. In the absence of Coulomb interactions between…

Cuprate high-temperature superconductors are known to have a normal-state pseudogap but, after many years of intense research, its relation to the superconductivity is still a mystery. Similarly, the in-plane Hall coefficient $R_{\rm H}$…

Superconductivity · Physics 2025-03-10 Júlia C. Anjos , Hércules Santana , E. V. L. de Mello
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