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We propose a characterization of zero temperature phases in disordered superconductors on the basis of the nature of quasiparticle transport. In three dimensional systems, there are two distinct phases in close analogy to the distinction…

Superconductivity · Physics 2009-10-31 S. Vishveshwara , T. Senthil , Matthew P. A. Fisher

We study the nature of the zero-temperature phase transition between a d-wave superconductor and a Mott insulator in two dimensions. In this ``quantum confinement transition'', spin and charge are confined to form the electron in the Mott…

Strongly Correlated Electrons · Physics 2009-10-31 C. Lannert , Matthew P. A. Fisher , T. Senthil

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…

Superconductivity · Physics 2009-10-28 E. Z. Kuchinskii , M. V. Sadovskii , M. A. Erkabaev

The origin of continuous energy spectra in large disordered interacting quantum systems is one of the key unsolved problems in quantum physics. While small quantum systems with discrete energy levels are noiseless and stay coherent forever…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Emilio Cuevas , Mikhail Feigel'man , Lev Ioffe , Marc Mezard

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…

Superconductivity · Physics 2008-01-02 T. I. Baturina , A. Yu. Mironov , V. M. Vinokur , M. R. Baklanov , C. Strunk

I begin with a proposed global phase diagram of the cuprate superconductors as a function of carrier concentration, magnetic field, and temperature, and highlight its connection to numerous recent experiments. The phase diagram is then used…

Strongly Correlated Electrons · Physics 2013-03-25 Subir Sachdev

We present a general introduction to the non-zero temperature dynamic and transport properties of low-dimensional systems near a quantum phase transition. Basic results are reviewed in the context of experiments on the spin-ladder…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Matthias Vojta

Typically the disorder that alters the interference of particle waves to produce Anderson localization is potential scattering from randomly placed impurities. Here we show that disorder in the form of random gauge fields that act directly…

Superconductivity · Physics 2015-11-26 H. Q. Nguyen , S. M. Hollen , J. M. Valles , J. Shainline , J. M. Xu

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 study three regimes of the Mott transitions characterized by classical, marginally quantum and quantum. In the classical regime, the quantum degeneracy temperature is lower than the critical temperature of the Mott transition, Tc, below…

Strongly Correlated Electrons · Physics 2007-05-23 Masatoshi Imada

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 study a disordered weakly-coupled superconductor around the Anderson transition by solving numerically the Bogoliubov-de Gennes (BdG) equations in a three dimensional lattice of size up to $20\times20\times20$ in the presence of a random…

Superconductivity · Physics 2020-11-18 Bo Fan , Antonio M. García-García

We consider low-temperature behavior of weakly interacting electrons in disordered conductors in the regime when all single-particle eigenstates are localized by the quenched disorder. We prove that in the absence of coupling of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. M. Basko , I. L. Aleiner , B. L. Altshuler

Magnetic field and electrostatically tuned superconductor-insulator (SI) transitions of ultrathin metal films with levels of disorder that place them near the disorder-tuned SI transition appear to be direct, continuous quantum phase…

Superconductivity · Physics 2010-02-10 Yen-Hsiang Lin , A. M. Goldman

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…

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

Quantum phase transitions are sudden changes in the ground-state wavefunction of a many-body system that can occur as a control parameter such as a concentration or a field strength is varied. They are driven purely by the competition…

Strongly Correlated Electrons · Physics 2017-09-21 Jun Jing , Mike Guidry , Lian-Ao Wu

In two dimensions there is a direct superconductor-to-insulator quantum phase transition driven by increasing disorder. We elucidate, using a combination of inhomogeneous mean field theory and quantum Monte Carlo techniques, the nature of…

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

We study the zero-temperature phase transitions of two-dimensional superconducting arrays with both the self- and the junction capacitances in the presence of external magnetic fields. We consider two kinds of excitations from the Mott…

Superconductivity · Physics 2007-05-23 Beom Jun Kim , Gun Sang Jeon , M. -S. Choi , M. Y. Choi

This is an analytic study of the problem of transitions between normal and superconducting phases for a sample which encloses a magnetic flux. A preliminary study of this problem, based on numerical minimization of the free energy for a…

supr-con · Physics 2008-02-03 Jorge Berger , Jacob Rubinstein