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We test an improved finite-size scaling method for reliably extracting the critical temperature $T_{\rm BKT}$ of a Berezinskii-Kosterlitz-Thouless (BKT) transition. Using known single-parameter logarithmic corrections to the spin stiffness…

Statistical Mechanics · Physics 2013-10-02 Yun-Da Hsieh , Ying-Jer Kao , A. W. Sandvik

We develop a theory for the vortex unbinding transition in homogeneously disordered superconducting films. This theory incorporates the effects of quantum, mesoscopic and thermal fluctuations stemming from length scales ranging from the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 E. J. König , A. Levchenko , I. V. Protopopov , I. V. Gornyi , I. S. Burmistrov , A. D. Mirlin

In two dimensions, a phase-coherent superconducting state is established via a Berezinskii-Kosterlitz-Thouless (BKT) transition, whose critical temperature $T_{\rm BKT}$ is determined by the global superfluid stiffness in uniform…

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

In two-dimensional systems with a continuous symmetry the Mermin-Wagner-Hohenberg theorem precludes spontaneous symmetry breaking and condensation at finite temperature. The Berezinskii-Kosterlitz-Thouless critical temperature marks the…

Quantum Gases · Physics 2016-02-04 G. Bighin , L. Salasnich

The Berezinskii-Kosterlitz-Thouless (BKT) transition in ultra-thin NbN films is investigated in the presence of weak perpendicular magnetic fields. A jump in the phase stiffness at the BKT transition is detected up to 5 G, while the BKT…

The Berezinskii-Kosterlitz-Thouless (BKT) mechanism describes universal vortex unbinding in many two-dimensional systems, including the paradigmatic XY model. However, most of these systems present a complex interplay between excitations at…

Strongly Correlated Electrons · Physics 2020-09-21 Ilaria Maccari , Nicolò Defenu , Lara Benfatto , Claudio Castellani , Tilman Enss

The celebrated Berezinskii-Kosterlitz-Thouless (BKT) phase transition refers to a topological transition characterized, e.g., by the dissociation of vortex-antivortex pairs in two-dimensional (2D) systems. Such unusual phase has been…

Materials Science · Physics 2020-06-02 Changsong Xu , Yousra Nahas , Sergei Prokhorenko , Hongjun Xiang , L. Bellaiche

Intriguing phases may emerge when two-dimensional systems are coupled in a bilayer configuration. In particular, a Berezinskii-Kosterlitz-Thouless (BKT) paired superfluid phase was predicted and claimed to be numerically observed in a…

Statistical Mechanics · Physics 2025-11-14 Tianning Xiao , Youjin Deng , Xiao-Yu Dong

The Kosterlitz-Thouless phase transition is described by the nonperturbative renormalization flow of the two dimensional $\phi^4$-model. The observation of essential scaling demonstrates that the flow equation incorporates nonperturbative…

High Energy Physics - Theory · Physics 2009-10-31 G. v. Gersdorff , C. Wetterich

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…

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…

We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with…

Statistical Mechanics · Physics 2013-08-21 J. O. Indekeu , K. Koga , H. Hooyberghs , A. O. Parry

The nature of energy dissipation in 2D superconductors under perpendicular magnetic field at small current excitations has been extensively studied over the past two decades. However, dissipation mechanisms at high current drives remain…

Superconductivity · Physics 2023-06-07 Shashank Kumar Ojha , Prithwijit Mandal , Siddharth Kumar , Jyotirmay Maity , Srimanta Middey

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 show that supersymmetry emerges in a large class of models in 1+1 dimensions with both Z_2 and U(1) symmetry at the multicritical point where the Ising and Berezinskii-Kosterlitz-Thouless transitions coincide. To arrive at this result we…

Strongly Correlated Electrons · Physics 2015-03-11 Liza Huijse , Bela Bauer , Erez Berg

The nature of the interplay between fluctuations and quenched random disorder is a long-standing open problem, particularly in systems with a continuous order parameter. This lack of a full theoretical treatment has been underscored by…

Strongly Correlated Electrons · Physics 2024-01-22 Matthew C. O'Brien , Eduardo Fradkin

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

I show that recent theoretical [1,2] and experimental [3] claims about the possibility of the Berezinskii-Kosterlitz-Thouless (BKT) transition of ``fractional vortices'' in thin films of MgB2 are inconsistent with the parameters of the…

Superconductivity · Physics 2007-05-23 D. A. Gorokhov

In the two-dimensional superfluidity, the proliferation of the vortices and the anti-vortices results in a new class of phase transition, Berezinskii-Kosterlitz-Thouless (BKT) transition. This class of the phase transitions is also…

Strongly Correlated Electrons · Physics 2009-11-13 Chyh-Hong Chern