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The Berezinskii--Kosterlitz--Thouless (BKT) transition of the two-dimensional $XY$ model on the honeycomb lattice is investigated using both the techniques of Neural Network (NN) and Monte Carlo simulations. It is demonstrated in the…

High Energy Physics - Lattice · Physics 2024-06-24 Fu-Jiun Jiang

Berezinskii-Kosterlitz-Thouless (BKT) transition is one of the instability mechanisms for the Tomonaga-Luttinger liquid. But in the BKT transition, there are logarithmic-correction problems, which make it very difficult to treat BKT…

Strongly Correlated Electrons · Physics 2016-08-31 Kiyohide Nomura , Atsuhiro Kitazawa

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

The Berezinskii-Kosterlitz-Thouless transition in 2D dipolar systems has been studied recently by path integral Monte Carlo (PIMC) simulations [A. Filinov et al., PRL 105, 070401 (2010)]. Here, we complement this analysis and study…

Quantum Gases · Physics 2012-11-02 Alexey Filinov , Michael Bonitz

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

We numerically examine the properties of a two-dimensional system of particles which have competing long range repulsive and short range attractive interactions as a function of density and temperature. For increasing density, there are…

Soft Condensed Matter · Physics 2015-05-18 C. J. Olson Reichhardt , C. Reichhardt , A. R. Bishop

Superconductivity of YBa$_2$Cu$_3$O$_{7-\delta}$ single crystals was investigated in small magnetic fields. In magnetic measurements the superconducting transition for $\textbf{H} \| c$ appears 0.4 K higher than for $\textbf{H} \bot c$. In…

Superconductivity · Physics 2019-11-13 V. I. Nizhankovskiy , K. Rogacki

We study the two-dimensional two-component Coulomb gas in the canonical ensemble and at inverse temperature $\beta>2$. In this regime, the partition function diverges and the interaction needs to be cut off at a length scale $\lambda\in…

Mathematical Physics · Physics 2026-02-24 Jeanne Boursier , Sylvia Serfaty

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

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

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 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

The $s=1$ spinor Bose condensate at zero temperature supports ferromagnetic and polar phases that combine magnetic and superfluid ordering. We analyze the topological defects of the polar condensate, correcting previous studies, and show…

Other Condensed Matter · Physics 2009-11-11 Subroto Mukerjee , Cenke Xu , J. E. Moore

The correct detection of the Berezinskii-Kosterlitz-Thouless (BKT) transition in quasi-two-dimensional superconductors still remains a controversial issue. Its main signatures, indeed, are often at odds with the theoretical expectations. In…

Superconductivity · Physics 2018-05-08 Ilaria Maccari , Lara Benfatto , Claudio Castellani

The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clock model on the square lattice are investigated by means of the corner-transfer matrix renormalization group method. A classical analog of the entanglement entropy…

Statistical Mechanics · Physics 2023-06-27 Roman Krčmár , Andrej Gendiar , Tomotoshi Nishino

We analyze the occurrence of the Beresinkii-Kosterlitz-Thouless transition in thin films of NbN at various film thickness, by probing the effect of vortex fluctuations on the temperature dependence of the superfluid density below $T_{BKT}$…

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

Non-analytic Bloch eigenstates at isolated band degeneracy points exhibit singular behavior in the quantum metric. Here, a description of superfluid weight for zero-energy flat bands in proximity to other high-energy bands is presented,…

Superconductivity · Physics 2026-01-19 Guodong Jiang , Päivi Törmä , Yafis Barlas

We theoretically investigate a novel supersolid structure taking the form of stacked, disk-shaped superfluid droplets connected via a dilute superfluid, in an antidipolar condensate. A phase diagram is determined for varying the particle…

We analyze the finite temperature phase diagram of fermion mixtures in one-dimensional optical lattices as a function of interaction strength. At low temperatures, the system evolves from an anisotropic three-dimensional…

Superconductivity · Physics 2015-05-13 M. Iskin , C. A. R. S á de Melo