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The Beresinskii-Kosterlitz-Thouless (BKT) physics of vortices in two-dimensional superconductors at finite magnetic field is investigated by means of a field-theoretical approach based on the sine-Gordon model. This description leads to a…

Superconductivity · Physics 2007-12-12 L. Benfatto , C. Castellani , T. Giamarchi

One of the most relevant manifestations of the Beresinskii-Kosterlitz-Thouless transition occurs in quasi-two-dimensional superconducting systems. The experimental advances made in the last decade in the investigation of superconducting…

Superconductivity · Physics 2017-08-23 L. Benfatto , C. Castellani , T. Giamarchi

As the spin-triplet superconductivity arises from the condensation of spinful Cooper pairs, its full characterization requires not only charge ordering, but also spin ordering. For a two-dimensional (2D) easy-plane spin-triplet…

Superconductivity · Physics 2024-01-24 Suk Bum Chung , Se Kwon Kim

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

Berezinskii-Kosterlitz-Thouless (BKT) transition, the transition of the 2D sine-Gordon model, plays an important role in the low dimensional physics. We relate the operator content of the BKT transition to that of the SU(2)…

Statistical Mechanics · Physics 2008-11-26 Kiyohide Nomura , Atsuhiro Kitazawa

We study the Berezinskii-Kosterlitz-Thouless (BKT) transition of two-component Bose mixtures in two spatial dimensions. When phases of both components are decoupled, half-quantized vortex-antivortex pairs of each component induce two-step…

Statistical Mechanics · Physics 2019-08-22 Michikazu Kobayashi , Minoru Eto , Muneto Nitta

The Berezinsky-Kosterlitz-Thouless (BKT) type phase transitions in two-dimensional systems with internal abelian continuous symmetries are investigated. The necessary conditions for they can take place are: 1) conformal invariance of the…

High Energy Physics - Theory · Physics 2016-09-06 S. A. Bulgadaev

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

Recent experiments on ultracold Bose gases in two dimensions have provided evidence for the existence of the Berezinskii-Kosterlitz-Thouless (BKT) phase via analysis of the interference between two independent systems. In this work we study…

Quantum Gases · Physics 2010-11-11 Christopher J. Foster , P. Blair Blakie , Matthew J. Davis

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition drives the unbinding of topological defects in many two-dimensional systems. In the two-dimensional Coulomb gas, it corresponds to an insulator-conductor transition driven by charge…

Statistical Mechanics · Physics 2016-10-31 Michael F. Faulkner , Steven T. Bramwell , Peter C. W. Holdsworth

We develop a semi-analytical description for the Berezinskii-Kosterlitz-Thouless (BKT) like phase transition in nonequilibrium Bose-Einstein condensates. Our theoretical analysis is based on a noisy generalized Gross-Pitaevskii equation.…

Quantum Gases · Physics 2023-09-21 Vladimir N. Gladilin , Michiel Wouters

The 2d XY model exhibits an essential phase transition, which was predicted long ago --- by Berezinskii, Kosterlitz and Thouless (BKT) --- to be driven by the (un)binding of vortex--anti-vortex pairs. This transition has been confirmed for…

High Energy Physics - Lattice · Physics 2015-06-16 Wolfgang Bietenholz , Urs Gerber , Fernando G. Rejón-Barrera

It is known that the quantized vortices in a superfluid can be described by a dual electromagnetic model through the duality transformation. Recently a new technique, which can selectively remove atoms from a Bose-Einstein condensate, was…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hui Zhai , Qi Zhou

The Berezinskii-Kosterlitz-Thouless (BKT) essential phase transition in the 2d XY model is revisited. Its mechanism is usually described by the (un)binding of vortex--anti-vortex (V--AV) pairs, which does, however, not provide a clear-cut…

High Energy Physics - Lattice · Physics 2022-08-02 Brandon Gómez Bravo , Bryan D. Juárez Hernández , Wolfgang Bietenholz

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

Two-dimensional superconductors undergo a Berezinskii-Kosterlitz-Thouless transition driven by vortex-antivortex unbinding, yet experimental signatures beyond transport remain limited. Here, we show that the spin-lattice relaxation rate…

Superconductivity · Physics 2026-01-06 Wei-Wei Yang , Shao-Hang Shi , Zongsheng Zhou , Zi-Xiang Li , Kun Jiang , Jiangping Hu

The Berezinskii-Kosterlitz-Thouless (BKT) transition is a typical topological phase transition defined between binding and unbinding states of vortices and antivortices, which is not accompanied by spontaneous symmetry breaking. It is known…

Statistical Mechanics · Physics 2025-02-14 Masahito Mochizuki , Yusuke Miyajima

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

Making use of $\phi$-mapping topological current method, we discuss the self-dual vortices in the Abelian Chern-Simons model with two complex scalar fields. For each scalar field, an exact nontrivial equation with a topological term which…

High Energy Physics - Theory · Physics 2008-11-07 Yi-Shi Duan , Li-Da Zhang , Yu-Xiao Liu

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
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