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We investigate the possibility that Bose-Einstein condensates (BECs), loaded on a 2D optical lattice, undergo - at finite temperature - a Berezinskii-Kosterlitz-Thouless (BKT) transition. We show that - in an experimentally attainable range…

Statistical Mechanics · Physics 2009-11-10 A. Trombettoni , A. Smerzi , P. Sodano

A numerical study of the neutral two-dimensional (2D) lattice Coulomb gas is performed to examine dynamic scaling, finite size effects, and the dynamic critical exponent $z$ of the Kosterlitz-Thouless-Berezinskii transition. By studying…

Superconductivity · Physics 2007-05-23 Louis Colonna-Romano , Stephen W. Pierson , Mark Friesen

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

This study investigates the Kosterlitz-Thouless (KT) transition in superfluid $^4$He confined within uniform nanochannels. While the universal jump in superfluid density is a well-established phenomenon, predicting the absolute transition…

Quantum Gases · Physics 2026-03-04 Filip Novotný , Marek Talíř , Balázs Szalai , Emil Varga

The two-dimensional $q$-state clock model for $q \geq 5$ undergoes two Berezinskii-Kosterlitz-Thouless (BKT) phase transitions as temperature decreases. Here we report an extensive worm-type simulation of the square-lattice clock model for…

Statistical Mechanics · Physics 2022-08-24 Hao Chen , Pengcheng Hou , Sheng Fang , Youjin Deng

Proliferation of defects is a mechanism that allows for topological phase transitions. Such a phase transition is found in two dimensions for the XY-model, which lies in the Berezinskii-Kosterlitz-Thouless (BKT) universality class. The…

Statistical Mechanics · Physics 2023-01-30 Kevin T. Grosvenor , Ruben Lier , Piotr Surówka

Using tensor network methods, we perform finite-size scaling analysis to study the parameter-induced phase transitions of two-dimensional deformed Affleck-Kennedy-Lieb-Tasaki states. We use higher-order tensor renormalization group method…

Statistical Mechanics · Physics 2020-10-14 Ching-Yu Huang , Yuan-Chun Lu , Pochung Chen

The Berezinskii-Kosterlitz-Thouless (BKT) transition is an archetypal example of a topological phase transition, which is driven by the proliferation of vortices. In this Letter, we analyze the persistence of the BKT transition in the XY…

Statistical Mechanics · Physics 2025-11-11 Luis Walther , Josef Willsher , Johannes Knolle

We study the behaviour of the Binder cumulant on finite square lattices at the Kosterlitz-Thouless phase transition. We determine the fixed point value of the Binder cumulant and the coefficient of the leading logarithmic correction. These…

Statistical Mechanics · Physics 2009-11-13 Martin Hasenbusch

We find the first example of a quantum Berenzinskii-Kosterlitz-Thouless (BKT) phase transition in two spatial dimensions via holography. This transition occurs in the D3/D5 system at nonzero density and magnetic field. At any nonzero…

High Energy Physics - Theory · Physics 2014-11-20 Kristan Jensen , Andreas Karch , Dam T. Son , Ethan G. Thompson

We study the two-dimensional generalized XY model that depends on an integer $q$ by the Monte Carlo method. This model was recently proposed by Romano and Zagrebnov. We find a single Kosterlitz-Thouless (KT) transition for all values of…

Computational Physics · Physics 2010-12-02 Yukihiro Komura , Yutaka Okabe

A half-century after the discovery of the superconductor-insulator transition (SIT), one of the fundamental predictions of the theory, the charge Berezinskii-Kosterlitz-Thouless (BKT) transition that is expected to occur at the insulating…

While the Berezinskii-Kosterlitz-Thouless transition (BKT) has been under intense scrutiny for decades, unambiguous experimental signatures in magnetic systems remain elusive. Here, we investigate the interplay between electronic and…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 B. Flebus

Using single cluster flip Monte Carlo simulations we accurately determine new finite size scaling functions which are expressed only in terms the variable $x = \xi_L / L$, where $\xi_L$ is the correlation length in a finite system of size…

Condensed Matter · Physics 2009-10-28 Jae-Kwon Kim , Adauto J. F. de Souza\cite{addr} , D. P. Landau

We investigate the Berezinskii-Kosterlitz-Thouless (BKT) transition in a semiconductor-superconductor two-dimensional Josephson junction array. Tuned by an electrostatic top gate, the system exhibits separate superconducting (S), anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 C. G. L. Bøttcher , F. Nichele , J. Shabani , C. J. Palmstrøm , C. M. Marcus

We study the effect of particle mobility on phase transitions in a spin fluid in two dimensions. The presence of a phase transition of the BKT universality class is shown in an off-lattice model of particles with purely repulsive…

Statistical Mechanics · Physics 2023-02-08 Thomas Bissinger , Matthias Fuchs

We analyze the scaling and finite-size-scaling behavior of the two-dimensional 4-state Potts model. We find new multiplicative logarithmic corrections for the susceptibility, in addition to the already known ones for the specific heat. We…

High Energy Physics - Lattice · Physics 2009-10-28 Jesús Salas , Alan D. Sokal

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

We investigate the general features of the renormalization-group flow at the Berezinskii-Kosterlitz-Thouless (BKT) transition, providing a thorough quantitative description of the asymptotc critical behavior, including the multiplicative…

Statistical Mechanics · Physics 2013-03-19 Andrea Pelissetto , Ettore Vicari

Motivated by recent progress on synthesizing two-dimensional magnetic van der Waals systems, we propose a setup for detecting the topological Berezinskii-Kosterlitz-Thouless (BKT) phase transition in spin-transport experiments on such…

Mesoscale and Nanoscale Physics · Physics 2020-12-08 Roberto E. Troncoso , Arne Brataas , Asle Sudbø
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