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Motivated by recent experimental progress in 2D magnetism, we theoretically study spin transport in 2D easy-plane magnets at finite temperatures across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition, by developing a duality…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Se Kwon Kim , Suk Bum Chung

We investigate systems of interacting bosonic particles confined within slab-like boxes of size L^2 x Z with Z<<L, at their three-dimensional (3D) BEC transition temperature T_c, and below T_c where they experience a quasi-2D…

Quantum Gases · Physics 2017-11-01 Francesco Delfino , Ettore Vicari

We probe local phase fluctuations of trapped two-dimensional (2D) Bose gases using matter-wave interferometry. This enables us to measure the phase correlation function, which changes from an algebraic to an exponential decay when the…

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

We derive the scaling structure of the Kosterlitz-Thouless-Berezinskii (KTB) transition temperature of a homogeneous Bose gas in two dimensions within diagrammatic perturbation theory. Approaching the system from above the transition, we…

Other Condensed Matter · Physics 2016-08-16 Markus Holzmann , Gordon Baym , Jean-Paul Blaizot , Franck Laloë

We study the one-dimensional Bose-Hubbard model describing the superfluid-Mott insulator quantum phase transition of cold atoms in optical lattices. We show that derivatives of the variance of the on-site atom number occupation, computed…

Quantum Gases · Physics 2021-10-12 Mateusz Łącki , Bogdan Damski

We study $q$-state clock models of regular and Villain types with $q=5,6$ using cluster-spin updates and observed double transitions in each model. We calculate the correlation ratio and size-dependent correlation length as quantities for…

Statistical Mechanics · Physics 2019-08-01 Tasrief Surungan , Shunsuke Masuda , Yukihiro Komura , Yutaka Okabe

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 consider the classical XY model (or classical rotor model) on the two-dimensional square lattice graph as well as its dual model, which is a model of height functions. The XY model has a phase transition called the…

Probability · Mathematics 2023-04-20 Piet Lammers

We study a holographic model realizing an "antiferromagnetic" phase in which a global SU(2) symmetry representing spin is broken down to a U(1) by the presence of a finite electric charge density. This involves the condensation of a neutral…

High Energy Physics - Theory · Physics 2014-11-20 Nabil Iqbal , Hong Liu , Márk Mezei , Qimiao Si

Using Monte Carlo simulations and finite-size scaling, we study three-state Potts antiferromagnet on layered square lattice with two and four layers $L_z=2$ and $4$. As temperature decreases, the system develops quasi-long-range order via a…

Statistical Mechanics · Physics 2015-06-23 Chengxiang Ding , Wenan Guo , Youjin Deng

The quenched dynamics of an ultracold homogeneous atomic two-dimensional Bose gas subjected to periodic quenches across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition are discussed. Specifically, we address the effect of…

Quantum Gases · Physics 2021-02-03 Kate Brown , Thomas Bland , Paolo Comaron , Nick P. Proukakis

Using the technique of supervised neural networks (NN), we study the phase transitions of two-dimensional (2D) 6- and 8-state clock models on the square lattice. The employed NN has only one input layer, one hidden layer of 2 neurons, and…

Disordered Systems and Neural Networks · Physics 2023-03-02 Yaun-Heng Tseng , Fu-Jiun Jiang

Two-dimensional superconductors and electron-hole superfluids in van der Waals heterostructures having tunable valence and conduction bands in the electronic spectrum are emerging as rich platforms to investigate novel quantum phases and…

Superconductivity · Physics 2024-03-14 Giovanni Midei , Andrea Perali

We discuss the crucial role played by finite-size effects and inhomogeneity on the Beresinkii-Kosterlitz-Thouless (BKT) transition in two-dimensional superconductors. In particular, we focus on the temperature dependence of the resistivity,…

Superconductivity · Physics 2010-01-11 L. Benfatto , C. Castellani , T. Giamarchi

The Berezinskii-Kosterlitz-Thouless transition is a very specific phase transition where all thermodynamic quantities are smooth. Therefore, it is difficult to determine the critical temperature in a precise way. In this paper we…

Statistical Mechanics · Physics 2018-09-27 M. Richter-Laskowska , H. Khan , N. Trivedi , M. M. Maśka

The formation and migration of disconnections (line defects constrained to the grain boundary (GB) plane with both dislocation and step character) control many of the kinetic and dynamical properties of GBs and the polycrystalline materials…

Materials Science · Physics 2020-12-16 Kongtao Chen , David J. Srolovitz , Jian Han

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

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

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
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