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We employ a novel, unbiased renormalization-group approach to investigate non-equilibrium phase transitions in infinite lattice models. This allows us to address the delicate interplay of fluctuations and ordering tendencies in low…

Strongly Correlated Electrons · Physics 2020-11-17 Christian Klöckner , Christoph Karrasch , Dante Marvin Kennes

Phase transitions give crucial insight into many-body systems, as crossovers between different regimes of order are determined by the underlying dynamics. These dynamics, in turn, are often constrained by dimensionality and geometry. For…

Quantum Gases · Physics 2013-04-26 Guohai Situ , Stefan Muenzel , Jason W. Fleischer

We study a four-component polariton system in the optical parametric oscillator regime consisting of exciton/photon and signal/idler modes across the Berezinskii-Kosterlitz-Thouless (BKT) transition. We show that all four components share…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 G. Dagvadorj , P. Comaron , M. H. Szymanska

We present a theoretical study of a Berezinskii-Kosterlitz-Thouless like phase transition in lattices of nonequilibrium photon condensates. Starting from linearized fluctuation theory and the properties of vortices, we propose an analytical…

Quantum Gases · Physics 2021-10-27 Vladimir N. Gladilin , Michiel Wouters

We report the observation of the Berezinskii-Kosterlitz-Thouless transition for a 2D gas of exciton-polaritons, and through the joint measurement of the first-order coherence both in space and time we bring compelling evidence of a…

Long-range and anisotropic dipolar interactions induce complex order in quantum systems. It becomes particularly interesting in two-dimension (2D), where the superfluidity with quasi-long-range order emerges via…

Quantum Gases · Physics 2025-10-14 Yifei He , Ziting Chen , Haoting Zhen , Mingchen Huang , Mithilesh K Parit , Gyu-Boong Jo

The Berezinskii-Kosterlitz-Thouless (BKT) transition is the prototype of a phase transition driven by the formation and interaction of topological defects in two-dimensional (2D) systems. In typical models these are vortices: above a…

Superconductivity · Physics 2026-02-27 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur

Any state of matter is classified according to its order, and the kind of order a physical system can posses is profoundly affected by its dimensionality. Conventional long-range order, like in a ferromagnet or a crystal, is common in…

Other Condensed Matter · Physics 2016-08-16 Zoran Hadzibabic , Peter Krüger , Marc Cheneau , Baptiste Battelier , Jean B. Dalibard

We study the 2d phase transition of a driven-dissipative system of exciton-polaritons under non-resonant pumping. Stochastic calculations are used to investigate the Berezinskii-Kosterlitz-Thouless-like phase diagram for experimentally…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 P. Comaron , I. Carusotto , M. H. Szymanska , N. P. Proukakis

The Berezinskii-Kostelitz-Thouless (BKT) transition is the paradigmatic example of a topological phase transition without symmetry-breaking, where a quasi-ordered phase, characterized by a power law scaling of the correlation functions at…

Statistical Mechanics · Physics 2021-10-14 Guido Giachetti , Nicolo Defenu , Stefano Ruffo , Andrea Trombettoni

We study nonlinear fluctuating hydrodynamic theories with charge and energy conservation in and above two dimensions that describe the large-scale behavior of the Hamiltonian XY model in the disordered and ordered phases. Using…

Statistical Mechanics · Physics 2025-02-18 Ken Hiura

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

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

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

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

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

We demonstrate a three-dimensional Kosterlitz-Thouless (KT) transition in the random field XY model driven out of thermal equilibrium. By employing the spin-wave approximation and functional renormalization group approach, in the weak…

Statistical Mechanics · Physics 2018-09-26 Taiki Haga

Two dimensional systems with U(1) symmetry exhibit a peculiar phase, i.e., the Berezinskii-Kosterlitz-Thouless (BKT) phase. In particular situations, the BKT phase exists as an intermediate temperature phase. There have been scenarios for…

Statistical Mechanics · Physics 2015-11-10 Masamichi Nishino , Seiji Miyashita

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition is considered in the condition of lowest temperatures, when thermal fluctuations give place to quantum ones. For this goal, the critical dynamic of the Sine-Gordon model near the…

Statistical Mechanics · Physics 2021-04-23 Mikhail Vasin

The Berezinskii-Kosterlitz-Thouless theory for superfluid films is generalized in a straightforward way that (a) corrects for overlapping vortex-antivortex pairs at high pair density and (b) utilizes a dielectric approximation for the…

Condensed Matter · Physics 2009-10-28 Carsten Timm
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