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We analyze numerically how the voltage-current (V-I) characteristics near the so-called Berezinskii-Kosterlitz-Thouless (BKT) transition of 2D superconductors are affected by a random spatial Gaussian distribution of critical temperature…

Superconductivity · Physics 2015-05-27 Noelia Coton , Manuel V. Ramallo , Felix Vidal

The Berezinskii-Kosterlitz-Thouless (BKT) transition in two-dimensional superconductors is usually expected to be protected against disorder. However, its typical signatures in real system, like e.g. the superfluid-density jump, are often…

Superconductivity · Physics 2017-09-06 I. Maccari , L. Benfatto , C. Castellani

The Berezinski-Kosterlitz-Thouless transition is a unique two dimensional phase transition, separating two phases with exponentially and power-law decaying correlations, respectively. In disordered systems, these correlations propagate…

Superconductivity · Physics 2013-11-22 Amir Erez , Yigal Meir

The Berezinskii-Kosterlitz-Thouless (BKT) mechanism describes the breakdown of superfluidity in a two-dimensional Bose gas or a two-dimensional gas of paired fermions. In the latter case, a population imbalance between the two pairing…

Statistical Mechanics · Physics 2009-09-20 J. Tempere , S. N. Klimin , J. T. Devreese

Recently we showed that the critical nonequilibrium relaxation in the Swendsen-Wang algorithm is widely described by the stretched-exponential relaxation of physical quantities in the Ising or Heisenberg models. Here we make a similar…

Statistical Mechanics · Physics 2015-12-18 Yoshihiko Nonomura , Yusuke Tomita

Recent experiments on 2D superconductors allow the characterization of the critical temperature and of the phase diagram across the BCS-BEC crossover as a function of density. We obtain from these experiments the microscopic parameters of…

Superconductivity · Physics 2025-01-14 Giovanni Midei , Koichiro Furutani , Luca Salasnich , Andrea Perali

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

The collective behavior of a many-body system near a continuous phase transition is insensitive to the details of its microscopic physics[1]. Characteristic features near the phase transition are that the thermodynamic observables follow…

Quantum Gases · Physics 2011-02-11 Chen-Lung Hung , Xibo Zhang , Nathan Gemelke , Cheng Chin

The Berezinskii-Kosterlitz-Thouless (BKT) transition in magnetic system is an intriguing phenomena and an accurate estimation of the BKT transition temperature has been a long-standing problem. In this work we explore the anisotropic…

Strongly Correlated Electrons · Physics 2022-05-31 Sumit Haldar , Sk Saniur Rahaman , Manoranjan Kumar

We investigate the nature of the phase transition occurring in a planar XY-model spin system with dipole-dipole interactions. It is demonstrated that a Berezinskii-Kosterlitz-Thouless (BKT) type of phase transition always takes place at a…

Statistical Mechanics · Physics 2014-05-09 A. Yu. Vasiliev , A. E. Tarkhov , L. I. Menshikov , P. O. Fedichev , Uwe R. Fischer

The celebrated Berezinskii-Kosterlitz-Thouless (BKT) phase transition refers to a topological transition characterized, e.g., by the dissociation of vortex-antivortex pairs in two-dimensional (2D) systems. Such unusual phase has been…

Materials Science · Physics 2020-06-02 Changsong Xu , Yousra Nahas , Sergei Prokhorenko , Hongjun Xiang , L. Bellaiche

We explore the implications of Berezinskii-Kosterlitz-Thouless (BKT) critical behavior on the two dimensional (2D) quantum superconductor-insulator (QSI) transition driven by the tuning parameter x. Concentrating on the sheet resistance…

Superconductivity · Physics 2015-06-12 T. Schneider , S. Weyeneth

We study the phase diagram and critical behavior of a two-dimensional lattice SO($N_c$) gauge theory ($N_c \ge 3$) with two scalar flavors, obtained by partially gauging a maximally O($2N_c$) symmetric scalar model. The model is invariant…

High Energy Physics - Lattice · Physics 2021-01-20 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We perform the state-of-the-art tensor network simulations directly in the thermodynamic limit to clarify the critical properties of the $q$-state clock model on the square lattice. We determine accurately the two phase transition…

Statistical Mechanics · Physics 2020-07-01 Zi-Qian Li , Li-Ping Yang , Z. Y. Xie , Hong-Hao Tu , Hai-Jun Liao , T. Xiang

Classical 2D clock model is known to have a critical phase with Berezinskii-Kosterlitz-Thouless(BKT) transitions. These transitions have logarithmic corrections which make numerical analysis difficult. In order to resolve this difficulty,…

Statistical Mechanics · Physics 2009-11-11 Haruhiko Matsuo , Kiyohide Nomura

A system of two dimensional photon gas has recently been realized experimentally. It is pointed out that this setup can be used to observe a universal breathing mode of photon gas. It is shown that a modification in the experimental setup…

Optics · Physics 2014-07-17 Vivek M. Vyas , Prasanta K. Panigrahi , J. Banerji

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition drives the unbinding of topological defects in many two-dimensional systems. In the two-dimensional Coulomb gas, it corresponds to an insulator-conductor transition driven by charge…

Statistical Mechanics · Physics 2016-10-31 Michael F. Faulkner , Steven T. Bramwell , Peter C. W. Holdsworth

Phase transitions have been proposed as the origin of emergent abilities in large language models (LLMs), where new capabilities appear abruptly once models surpass critical thresholds of scale. Prior work, such as that of Wei et al.,…

Computation and Language · Computer Science 2025-11-18 Noah Hong , Tao Hong

We study the statistical mechanics of two-dimensional "super-Coulombic" plasmas, namely, neutral plasmas with power-law interactions longer-ranged than Coulomb. To that end, we employ numerically exact large-scale Monte Carlo simulations.…

Statistical Mechanics · Physics 2025-12-30 Ayush De , Leo Radzihovsky , Snir Gazit

Occurrence of the Berezinskii-Kosterlitz-Thouless (BKT) transition is investigated by superfluid density measurements for two-dimensional (2D) disordered NbN films with disorder level very close to a superconductor-insulator transition…

Superconductivity · Physics 2013-05-16 Jie Yong , T. Lemberger , L. Benfatto , K. Ilin , M. Siegel