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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

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…

超导电性 · 物理学 2026-05-04 Guanyang He , Ziqiao Wang , Longxin Pan , Yuxuan Lei , Fa Wang , Yi Liu , Nandini Trivedi , Jian Wang

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…

超导电性 · 物理学 2009-11-13 B. I. Shklovskii

Rapid miniaturization of electronic devices and circuits demands profound understanding of fluctuation phenomena at the nanoscale. Superconducting nanowires -- serving as important building blocks for such devices -- may seriously suffer…

介观与纳米尺度物理 · 物理学 2021-07-06 Konstantin Yu. Arutyunov , Janne S. Lehtinen , Alexey Radkevich , Andrew G. Semenov , Andrei D. Zaikin

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…

超导电性 · 物理学 2013-09-20 Nandini Trivedi , Yen Lee Loh , Karim Bouadim , Mohit Randeria

We study a superconducting single-charge transistor, where the coherence of Cooper pair tunneling is destroyed by the coupling to a tunable dissipative environment. Sequential tunneling and cotunneling processes are analyzed to construct…

介观与纳米尺度物理 · 物理学 2007-05-23 Frank K. Wilhelm , Gerd Schoen , Gergely T. Zimanyi

The microscopic nature of an insulating state in the vicinity of a superconducting state, in the presence of disorder, is a hotly debated question. While the simplest scenario proposes that Coulomb interactions destroy the Cooper pairs at…

The interplay between unconventional Cooper pairing and quantum states associated with atomic scale defects is a frontier of research with many open questions. So far, only a few of the high-temperature superconductors allow this intricate…

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

We present a phase diagram as a function of disorder in three-dimensional NbN thin films, as the system enters the critical disorder for the destruction of the superconducting state. The superconducting state is investigated using a…

We discuss the effect of disorder on the coherent propagation of the bound state of two attracting particles. It is shown that a result analogous to the Anderson theorem for dirty superconductors is also valid for the Cooper problem,…

超导电性 · 物理学 2009-10-30 M. A. N. Araujo , M. Dzierzawa , C. Aebischer , D. Baeriswyl

In most superconductors the transition to the superconducting state is driven by the binding of electrons into Cooper-pairs. The condensation of these pairs into a single, phase coherent, quantum state takes place concomitantly with their…

It is well established that for non-interacting electrons, increasing disorder drives a metal into a gapless localized Anderson insulator. While in three dimensions a threshold in disorder must be crossed for the transition, in two…

强关联电子 · 物理学 2015-06-15 Elias Lahoud , O. Nganba Meetei , K. B. Chaska , A Kanigel , Nandini Trivedi

We investigate low-temperature transport properties of thin TiN superconducting films in the vicinity of the disorder-driven superconductor-insulator transition. In a zero magnetic field, we find an extremely sharp separation between…

超导电性 · 物理学 2008-01-02 T. I. Baturina , A. Yu. Mironov , V. M. Vinokur , M. R. Baklanov , C. Strunk

Motivated by the discovery of superconductivity in boron-doped (B-doped) diamond, we investigate the localization and superconductivity in heavily doped semiconductors. The competition between Anderson localization and s-wave…

超导电性 · 物理学 2009-11-13 Youichi Yanase , Naoyuki Yorozu

We study the effect of disorder in a holographic superconductor by introducing a quasi-periodic chemical potential. When the condensation of the superconductor is sufficiently small compared with the strength of disorder, we find that there…

高能物理 - 理论 · 物理学 2014-03-05 Hua Bi Zeng

The idea that preformed Cooper pairs could exist in a superconductor above its zero-resistance state has been explored for unconventional, interface, and disordered superconductors, yet direct experimental evidence is lacking. Here, we use…

Continuous quantum phase transitions are widely assumed and frequently observed in various systems of quantum particles or spins. Their characteristic trait involves scaling laws governing a second-order, gradual suppression of the order…

As a superconducting thin film becomes disordered and subject to an increasing magnetic field, a point is reached when it undergoes a transition from a superconducting to an insulating state. We use the Bogoliubov-De-Gennes equations and a…

超导电性 · 物理学 2009-11-13 Yonatan Dubi , Yigal Meir , Yshai Avishai

The emergence of superconductivity in unconventional superconductors usually accompanies the normal-state phases of pseudogap, strange metal and Fermi liquid. It indicates these phases are strongly related to the superconducting state and…

超导电性 · 物理学 2021-11-25 Kuan-Ming Hung , Tung-Ho Shieh , Kun-Yuan Wu
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