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The disorder-driven metal-insulator transition in the quantum spin Hall systems is studied by scaling analysis of the Thouless conductance $g$. Below a critical disorder strength, the conductance is independent of the sample size $M$, an…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Zhong Xu , L. Sheng , R. Shen , Baigeng Wang , D. Y. Xing

The superconductor-insulator transition (SIT) is an excellent example for a quantum phase transition at zero temperature, dominated by quantum fluctuations. These are expected to be very prominent close to the quantum critical point. So far…

Superconductivity · Physics 2018-08-01 Arnab Roy , Efrat Shimshoni , Aviad Frydman

The Berezinskii--Kosterlitz--Thouless (BKT) transition of the two-dimensional $XY$ model on the honeycomb lattice is investigated using both the techniques of Neural Network (NN) and Monte Carlo simulations. It is demonstrated in the…

High Energy Physics - Lattice · Physics 2024-06-24 Fu-Jiun Jiang

We report a light-driven non-equilibrium vortex Berezinskii-Kosterlitz-Thouless (BKT) transition in a superconductor. We use a time-dependent Ginzburg-Landau model to demonstrate vortex-antivortex deconfinement via light induced fields. The…

Superconductivity · Physics 2025-10-28 Tien-Tien Yeh , Evan Wilson , Mikael Fogelström , Alexander Balatsky

The Berezinskii-Kosterlitz-Thouless (BKT) transition in two-dimensional planar rotator and XY models on a square lattice, diluted by randomly placed vacancies, is studied here using hybrid Monte Carlo simulations that combine single spin…

Materials Science · Physics 2007-05-23 G. M. Wysin , A. R. Pereira , I. A. Marques , S. A. Leonel , P. Z. Coura

Berezinskii-Kosterlitz-Thouless (BKT) transition, the topological phase transition to a quasi-long range order in a two-dimensional (2D) system, is a hallmark of low-dimensional topological physics. The recent emergence of non-Hermitian…

Quantum Gases · Physics 2021-07-23 Yun-Mei Li , Xi-Wang Luo , Chuanwei Zhang

We test an improved finite-size scaling method for reliably extracting the critical temperature $T_{\rm BKT}$ of a Berezinskii-Kosterlitz-Thouless (BKT) transition. Using known single-parameter logarithmic corrections to the spin stiffness…

Statistical Mechanics · Physics 2013-10-02 Yun-Da Hsieh , Ying-Jer Kao , A. W. Sandvik

Very recently quasi two-dimensional (2D) systems made of attractive fermionic alkali-metal atoms with a widely tunable interaction due to Fano-Feshbach resonances have been realized. In this way it has been achieved the 2D crossover from…

Quantum Gases · Physics 2016-12-13 L. Salasnich , G. Bighin

We probe the presence of long-range correlations in phase fluctuations by analyzing the higher-order spectrum of resistance fluctuations in ultra-thin NbN superconducting films. The non-Gaussian component of resistance fluctuations is found…

By using a renormalization group analysis, we study the effect of interparticle interactions on the critical temperature at which the Berezinskii-Kosterlitz-Thouless (BKT) transition occurs for Bose-Einstein condensates loaded at finite…

Superconductivity · Physics 2007-05-23 A. Smerzi , P. Sodano , A. Trombettoni

We investigate theoretically the quantum phase transition (QPT) between the one-channel Kondo (1CK) and two-channel Kondo (2CK) fixed points in a quantum dot coupled to helical edge states of interacting 2D topological insulators (2DTI)…

Strongly Correlated Electrons · Physics 2015-06-03 Chung-Hou Chung , Salman Silotri

We have studied the thickness-induced superconductor-to-insulator transition in the presence of a magnetic field for a-NbSi thin films. Analyzing the critical behavior of this system within the "dirty boson model", we have found a critical…

Superconductivity · Physics 2009-11-13 C. A. Marrache-Kikuchi , H. Aubin , A. Pourret , K. Behnia , J. Lesueur , L. Berge , L. Dumoulin

We present a numerical study of the two-dimensional quantum percolation model, revealing that a critical region with multifractal eigenstates mediates the transition from localized to delocalized states. By analyzing the mean level ratio…

Disordered Systems and Neural Networks · Physics 2025-10-28 W. S. Oliveira , J. Pimentel de Lima , F. A. Pinheiro , R. R. dos Santos

The phase diagram of two dimensional Josephson arrays is studied by means of the mapping to the quantum XY model. The quantum effects onto the thermodynamics of the system can be evaluated with quantitative accuracy by a semiclassical…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

In the pursuit of higher critical temperature of superconductivity, quasi-flat electronic bands and van Hove singularities in two dimensions (2D) have emerged as a potential approach to enhance Cooper pairing on the basis of mean-field…

A paradigmatic example of a phase transition taking place in the absence of symmetry-breaking is provided by the Berezinkii-Kosterlitz-Thouless (BKT) transition in the two-dimensional XY model. In the framework of canonical ensemble, this…

Statistical Mechanics · Physics 2023-05-30 Ghofrane Bel-Hadj-Aissa , Matteo Gori

The superfluid to insulator quantum phase transition of a three-dimensional particle-hole symmetric system of disordered bosons is studied. To this end, a site-diluted quantum rotor Hamiltonian is mapped onto a classical (3+1)-dimensional…

Quantum Gases · Physics 2018-10-25 Jack Crewse , Cameron Lerch , Thomas Vojta

It has been suggested [Pierson et al., Phys. Rev. B 60, 1309 (1999); Ammirata et al., Physica C 313, 225 (1999)] that for 2D superconductors there exists a phase transition with the dynamic critical exponent z\approx 5.6. We perform…

Superconductivity · Physics 2009-10-31 Kateryna Medvedyeva , Beom Jun Kim , Petter Minnhagen

We discuss how to locate critical points in the Berezinskii-Kosterlitz-Thouless (BKT) universality class by means of gap-scaling analyses. While accurately determining such points using gap extrapolation procedures is usually challenging…

Strongly Correlated Electrons · Physics 2015-05-01 M. Dalmonte , J. Carrasquilla , L. Taddia , E. Ercolessi , M. Rigol

It is well known that superconductivity in thin films is generally suppressed with decreasing thickness. This suppression is normally governed by either disorder-induced localization of Cooper pairs, weakening of Coulomb screening, or…

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