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We review the topological gauge theory of Josephson junction arrays and thin film superconductors, stressing the role of the usually forgotten quantum phase slips, and we derive their quantum phase structure. A quantum phase transition from…

Superconductivity · Physics 2023-09-21 Carlo A. Trugenberger

We study the superfluid-insulator transition in a one dimensional system of interacting bosons, modeled as a disordered Josephson array, using a strong randomness real space renormalization group technique. Unlike perturbative methods, this…

Disordered Systems and Neural Networks · Physics 2015-05-14 Ehud Altman , Yariv Kafri , Anatoli Polkovnikov , Gil Refael

A chain of Josephson junctions implements one of the simplest many-body models undergoing a superconductor-insulator (SI) quantum phase transition between states with zero and infinite resistance. Apart from zero resistance, the…

The interplay of quantum fluctuations and dissipation in chains of mesoscopic superconducting grains is analyzed, and the results are also applied to nanowires. It is shown that in 1-d arrays of resistively shunted Josephson junctions, the…

Superconductivity · Physics 2009-11-11 Gil Refael , Eugene Demler , Yuval Oreg , Daniel S. Fisher

We have made a systematic investigation of charge transport in 1D chains of Josephson junctions where the characteristic Josephson energy is much less than the single-island Cooper-pair charging energy, $E_\mathrm{J}\ll E_{CP}$. Such chains…

Superconductivity · Physics 2015-09-30 K. Cedergren , S. Kafanov , J-L. Smirr , J. H. Cole , T. Duty

We study an electronic model of a 2D superconductor with onsite randomness using Quantum Monte Carlo simulations. The superfluid density is used to track the destruction of superconductivity in the ground state with increasing disorder. The…

Condensed Matter · Physics 2009-10-28 Nandini Trivedi , Richard T. Scalettar , 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

The topic of quantum fluctuations in quasi-1D superconductors, also called quantum phase slips (QPS), has attracted a significant attention. It has been shown that the phenomenon is capable to suppress zero resistivity of ultra-narrow…

Mesoscale and Nanoscale Physics · Physics 2013-11-14 J. S. Lehtinen , T. Rantala , K. Yu. Arutyunov

The non-dissipative non-linearity of a Josephson junction converts macroscopic superconducting circuits into artificial atoms, enabling some of the best controlled quantum bits (qubits) today. Three fundamental types of superconducting…

Although quantum mechanics applies to many macroscopic superconducting devices, one basic prediction remained controversial for decades. Namely, a Josephson junction connected to a resistor must undergo a dissipation-induced quantum phase…

The effect of disorder is investigated in granular superconductive materials with strong and weak links. The transition is controlled by the interplay of the \emph{tunneling} $g$ and \emph{intragrain} $g_{intr}$ conductances, which depend…

Superconductivity · Physics 2010-12-07 L. Ponta , A. Carbone , M. Gilli

Experimental studies of magnetoresistance in thin superconducting strips subject to a perpendicular magnetic field B exhibit a multitude of transitions, from superconductor to insulator and vice versa alternately. Motivated by this…

Strongly Correlated Electrons · Physics 2015-06-03 Yeshayahu Atzmon , Efrat Shimshoni

We study the transversal dynamics of a charged stripe (quantum string) at $T = 0$ and show that its kink excitations play the role of current carriers. If the hopping amplitude $t$ is much smaller than the string tension $J$, the string is…

Condensed Matter · Physics 2007-05-23 Yu. Dimashko , C. Morais Smith

The discovery that spin-orbit coupling can generate a new state of matter in the form of quantum spin-Hall (QSH) insulators has brought topology to the forefront of condensed matter physics. While QSH states from spin-orbit coupling can be…

Strongly Correlated Electrons · Physics 2019-06-18 Yuhai Liu , Zhenjiu Wang , Toshihiro Sato , Martin Hohenadler , Chong Wang , Wenan Guo , Fakher F. Assaad

We investigate superconductor-insulator quantum phase transitions in ultrathin capacitively coupled superconducting nanowires with proliferating quantum phase slips. We derive a set of coupled Berezinskii-Kosterlitz-Thouless-like…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 Alex Latyshev , Andrew G. Semenov , Andrei D. Zaikin

We investigate the disorder-driven superconductor to insulator quantum phase transition (SIT) in an interacting fermion model using determinantal quantum Monte Carlo (QMC) methods. The disordered superconductor is modeled by an attractive…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. T. Scalettar , N. Trivedi , C. Huscroft

Control and manipulation of quantum states by measurements and bath engineering in open quantum systems have emerged as new paradigms in many-body physics. Here, taking a prototypical example of Josephson junction arrays (JJAs), we show how…

Superconductivity · Physics 2025-11-21 Purnendu Das , Sumilan Banerjee

Superconductor-insulator transition is a fascinating quantum phenomenon that reveals a competition between phase order and charge localization. Microwave spectroscopy provides a novel promising approach to its controllable investigation in…

Superconductivity · Physics 2019-10-15 Alexander Mirlin , Ivan Protopopov

We propose a novel platform for the study of quantum phase transitions in one dimension (1D QPT). The system consists of a specially designed chain of asymmetric SQUIDs; each SQUID contains several Josephson junctions with one junction…

Strongly Correlated Electrons · Physics 2018-12-04 M. T. Bell , B. Doucot , M. E. Gershenson , L. B. Ioffe , A. Petkovic

Phase transitions of a flux lattice in layered superconductors with magnetic field perpendicular to the layers and in presence of disorder are studied. We find that the Josephson coupling between layers leads to a strongly pinned Josephson…

Superconductivity · Physics 2009-10-30 Baruch Horovitz , T. Ruth Goldin