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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

We study the chiral phase transition in (2+1)d strongly coupled U(N) lattice gauge theories with staggered fermions. We show with high precision simulations performed directly in the chiral limit that these models undergo a…

High Energy Physics - Lattice · Physics 2009-11-10 Costas G. Strouthos

We present a comprehensive investigation of the Berezinskii-Kosterlitz-Thouless (BKT) transition in ultrathin strongly disordered NbN films. Measurements of resistance, current-voltage characteristics and kinetic inductance on the very same…

Based on the short-time dynamic scaling form, a novel dynamic approach is proposed to tackle numerically the Kosterlitz-Thouless phase transition. Taking the two-dimensional XY model as an example, the exponential divergence of the spatial…

Statistical Mechanics · Physics 2009-10-31 B. Zheng , M. Schulz , S. Trimper

We show that quasi-one dimensional Bose-Einstein condensate under suitable conditions can exhibit a Berezinskii-Kosterlitz-Thouless phase transition. The role played by quantized vortices in two dimensional case, is played in this case by…

Quantum Gases · Physics 2011-07-28 Vivek M. Vyas , Sandeep Gautam , Prasanta K. Panigrahi

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

Spontaneous symmetry breaking of 2D isotropic Heisenberg magnet is restricted by Mermin-Wagner theorem at any finite temperature in presence of short-range exchange interaction.Kosterlitz and Thouless using XY spin model showed that how an…

Statistical Mechanics · Physics 2023-08-22 Nepal Banerjee

We explore possible synchronization in two-dimensional (2D) locally coupled discrete-state oscillators under thermal fluctuations, using the self-rotating $q$-state clock model as a prototype. Large-scale Monte Carlo simulations reveal that…

Statistical Mechanics · Physics 2026-02-02 Xin Wu , Mingcheng Yang

This work investigates cosmic topological defects in gauge theories, focusing on models with an $SU(N)$ gauge group coupled with a single flavor, explored through a holographic framework. At low energies, the effective theory is described…

High Energy Physics - Theory · Physics 2025-02-12 Francesco Bigazzi , Aldo L. Cotrone , Andrea Olzi

This text considers the discrete height functions associated with the Berezinskii--Kosterlitz--Thouless transition (BKT) at slope zero. Our main results are as follows. * Sharpness: If the model is localised, then the two-point function…

Probability · Mathematics 2026-05-01 Piet Lammers

The conformal anomaly is key to describing the physics of interacting field theories in two dimensions, and has been shown to obtain finite-size corrections that are useful to numerical and experimental studies. At…

Strongly Correlated Electrons · Physics 2024-11-27 Jon Spalding

We construct a local interacting quantum dimer model on the square lattice, whose zero-temperature phase diagram is characterized by a line of critical points separating two ordered phases of the valence bond crystal type. On one side, the…

Strongly Correlated Electrons · Physics 2007-05-23 Claudio Castelnovo , Claudio Chamon , Christopher Mudry , Pierre Pujol , .

Using a formalism based on the two-body S-matrix we study two-dimensional Bose and Fermi gases with both attractive and repulsive interactions. Approximate analytic expressions, valid at weak coupling and beyond, are developed and applied…

Quantum Gases · Physics 2017-07-18 Guilherme Franca , Andre LeClair , Joshua Squires

In this work we aim at the question of holographic phase transitions in two dimensional systems with Lifshitz scaling. We consider the gravity side candidate for a dual description as the black hole solution of New Massive Gravity (NMG)…

High Energy Physics - Theory · Physics 2024-02-06 E. Abdalla , Jeferson de Oliveira , A. B. Pavan , C. E. Pellicer

We perform quantum Monte Carlo simulations to study the 2D hard-core Bose-Hubbard model in a random potential. Our motivation is to investigate the effects of randomness on the Kosterlitz--Thouless (KT) transition. The chemical potential is…

Statistical Mechanics · Physics 2015-05-14 Hiroki Kuroyanagi , Mitsuaki Tsukamoto , Makoto Tsubota

We study the critical point for the emergence of coherence in a harmonically trapped two-dimensional Bose gas with tuneable interactions. Over a wide range of interaction strengths we find excellent agreement with the classical-field…

We study the superfluid properties of two-dimensional spin-population-imbalanced Fermi gases to explore the interplay between the Berezinskii-Kosterlitz-Thouless (BKT) phase transition and the possible instability towards the Fulde-Ferrell…

Quantum Gases · Physics 2014-01-14 Shaoyu Yin , J. -P. Martikainen , P. Törmä

Quantum Ising model on a triangular lattice hosts a finite temperature Berezinskii-Kosterlitz-Thouless (BKT) phase with emergent U(1) symmetry, and it will transit into an up-up-down (UUD) phase with $C_3$ symmetry breaking upon an…

Strongly Correlated Electrons · Physics 2021-03-17 Yuan Da Liao , Han Li , Zheng Yan , Hao-Tian Wei , Wei Li , Yang Qi , Zi Yang Meng

Classic experimental data on helium films are transformed to estimate a finite-size phase order parameter that measures the thermal degradation of the condensate fraction in the two-dimensional superfluid. The order parameter is found to…

Statistical Mechanics · Physics 2015-12-22 Steven T. Bramwell , Michael F. Faulkner , Peter C. W. Holdsworth , Andrea Taroni

Proper treatment of the many-body interactions is of paramount importance in our understanding of strongly correlated systems. Here we investigate the effects of particle-hole fluctuations on the Berezinskii-Kosterlitz-Thouless (BKT)…

Quantum Gases · Physics 2026-03-13 Junru Wu , Zongpu Wang , Lin Sun , Kaichao Zhang , Chuping Li , Yuxuan Wu , Pengyi Chen , Dingli Yuan , Qijin Chen
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