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We study the two-dimensional XY model with quenched random phases by Monte Carlo simulation and finite-size scaling analysis. We determine the phase diagram of the model and study its critical behavior as a function of disorder and…

Disordered Systems and Neural Networks · Physics 2016-08-31 J. Maucourt , D. R. Grempel

Magnetic vortices in thermal equilibrium in two-dimensional magnets are studied here under the presence of a low concentration of nonmagnetic impurities (spin vacancies). A nearest-neighbor Heisenberg (XXZ) spin model with easy-plane…

Statistical Mechanics · Physics 2013-05-08 G. M. Wysin

We provide a detailed description of our previously proposed scheme for topological interface engineering with constructed defects and textures perforating across coherent interfaces between different broken symmetries [M. O. Borgh and J.…

Quantum Gases · Physics 2013-04-23 Magnus O. Borgh , Janne Ruostekoski

In systems with broken $U(1)$ symmetry, such as superfluids, superconductors or magnets, the symmetry restoration is driven by proliferation of topological defects in the form of vortex loops. Here we discuss that in certain systems the…

Superconductivity · Physics 2016-02-22 J. Carlstrom , E. Babaev

Topological phases have been a central focus of condensed-matter physics for over 50 years. Along with many experimental applications, they have provided much intellectual interest due to their characterization via some form of topological…

Statistical Mechanics · Physics 2025-06-09 Michael F. Faulkner

The quest to manipulate and understand superconductivity demands exploring diverse materials and unconventional behaviors. Here, we investigate the BKT transition in synthesized ReN$_x$ thin films, demonstrating their emergence as a…

Superconductivity · Physics 2024-01-24 Kosuke Takiguchi , Yoshiharu Krockenberger , Yoshitaka Taniyasu , Hideki Yamamoto

Three distinct types of behaviour have recently been identified in the two-dimensional trapped bosonic gas, namely; a phase coherent Bose-Einstein condensate (BEC), a Berezinskii-Kosterlitz-Thouless-type (BKT) superfluid and normal gas…

Statistical Mechanics · Physics 2007-05-23 Daniel Schumayer , David A. W. Hutchinson

The electromagnetic response to microwaves in the mixed state of YBa2Cu3Oy(YBCO) was measured in order to investigate the electronic state inside and outside the vortex core. The magnetic-field dependence of the complex surface impedance at…

In two dimensional nematics, topological defects are point like singularities with both a charge and a phase. We study topological defects within curved nematic textures on the surface of a cylinder. This allows us to isolate the effect of…

Soft Condensed Matter · Physics 2022-05-10 Daniel J. G. Pearce

We consider a two-component Bose gas in two dimensions at low temperature with short-range repulsive interaction. In the coexistence phase where both components are superfluid, inter-species interactions induce a nondissipative drag between…

Quantum Gases · Physics 2019-07-10 Volker Karle , Nicolo Defenu , Tilman Enss

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

Theories, simulations and experiments on vortex dynamics in quasi-two-dimensional magnetic materials are reviewed. These materials can be modelled by the classical two-dimensional anisotropic Heisenberg model with XY (easy-plane) symmetry.…

Condensed Matter · Physics 2007-05-23 F. G. Mertens , A. R. Bishop

We study the out-of-equilibrium dynamics of the fully-frustrated XY model. At equilibrium, this model undergoes two phase transitions at two very close temperatures: a Kosterlitz-Thouless topological transition and a second-order phase…

Statistical Mechanics · Physics 2009-10-22 Jean-Charles Walter , Christophe Chatelain

We simulate a trapped quasi-two-dimensional Bose gas using a classical field method. To interpret our results we identify the uniform Berezinskii-Kosterlitz-Thouless (BKT) temperature $T_{BKT}$ as where the system phase space density…

Other Condensed Matter · Physics 2011-08-31 R. N. Bisset , M. J. Davis , T. P. Simula , P. B. Blakie

We describe a recent experiment performed with rubidium atoms ($^{87}$Rb), aiming at studying the coherence properties of a two-dimensional gas of bosonic particles at low temperature. We have observed in particular a…

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

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 non-equilibrium properties of the frustrated Heisenberg antiferromagnets on the triangular lattice. Nonequilibrium critical relaxation of frustrated Heisenberg antiferromagnets shows a dynamic transition (or, at least, sharp…

Strongly Correlated Electrons · Physics 2017-04-25 I. S. Popov , P. V. Prudnikov , A. N. Ignatenko , A. A. Katanin

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

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

We investigated a two-dimensional superfluid model immersed in a black hole spacetime and hypothesize that if a black hole collides with a thin superfluid film, it will trigger a topological phase transition within the superfluid,…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Cristian R. Ghezzi , Paulo S. Custodio