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We reinvestigate the phase transitions of the Ising model on the Kagome lattice with antiferromagnetic nearest-neighbor and ferromagnetic next-nearest-neighbor interactions, which has a six-state-clock spin ice ground state and two…

Statistical Mechanics · Physics 2023-10-23 Wen-Yu Su , Feng Hu , Chen Cheng , Nvsen Ma

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. The classical analogue of the entanglement…

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

Occurrence of the Berezinskii-Kosterlitz-Thouless (BKT) transition is investigated by superfluid density measurements for two-dimensional (2D) disordered NbN films with disorder level very close to a superconductor-insulator transition…

Superconductivity · Physics 2013-05-16 Jie Yong , T. Lemberger , L. Benfatto , K. Ilin , M. Siegel

A two-dimensional quantum system of dipoles, with a polarization angle not perpendicular to the plane, shows a transition from a gas to a stripe phase. We have studied the thermal properties of these two phases using the path integral Monte…

Quantum Gases · Physics 2019-12-11 Raul Bombin , Ferran Mazzanti , Jordi Boronat

Comprehensive studies are made on the six-state clock universality of two models using several approaches. We apply the machine-learning technique of phase classification to the antiferromagnetic (AF) three-state Potts model on the square…

Statistical Mechanics · Physics 2023-05-17 Hiromi Otsuka , Kenta Shiina , Yutaka Okabe

We solve the ferromagnetic q-state Potts model on an inhomogeneous annealed network which mimics a random recursive graph. We find that this system has the inverted Berezinskii--Kosterlitz--Thouless (BKT) phase transition for any $q \geq…

Statistical Mechanics · Physics 2009-11-13 E. Khajeh , S. N. Dorogovtsev , J. F. F. Mendes

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

The Berezinskii-Kosterlitz-Thouless (BKT) transition in two-dimensional planar rotator and XY models on a square lattice, diluted by randomly placed vacancies, is studied here using hybrid Monte Carlo simulations that combine single spin…

Materials Science · Physics 2007-05-23 G. M. Wysin , A. R. Pereira , I. A. Marques , S. A. Leonel , P. Z. Coura

We perform the state-of-the-art tensor network simulations directly in the thermodynamic limit to clarify the critical properties of the $q$-state clock model on the square lattice. We determine accurately the two phase transition…

Statistical Mechanics · Physics 2020-07-01 Zi-Qian Li , Li-Ping Yang , Z. Y. Xie , Hong-Hao Tu , Hai-Jun Liao , T. Xiang

The melting of quasi-long-range superconductivity in two spatial dimensions occurs through the proliferation and unbinding of vortex-antivortex pairs -- a phenomenon known as the Berezinskii-Kosterlitz-Thouless (BKT) transition. Although…

Characterizing the superconducting and superfluid transitions in two-dimensional (2D) many-body systems is of broad interest and remains a fundamental issue. In this study, we establish the {\it condensate fraction} as a highly effective…

Strongly Correlated Electrons · Physics 2025-05-26 Yuan-Yao He

The Berezinskii-Kosterlitz-Thouless (BKT) transition in magnetic system is an intriguing phenomena and an accurate estimation of the BKT transition temperature has been a long-standing problem. In this work we explore the anisotropic…

Strongly Correlated Electrons · Physics 2022-05-31 Sumit Haldar , Sk Saniur Rahaman , Manoranjan Kumar

The experimental observation of traditional Zeeman-field induced Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superfluids has been hindered by various challenges, in particular, the requirement of low dimensional systems. In 2D, finite…

Quantum Gases · Physics 2015-03-24 Yong Xu , Chuanwei Zhang

The quantum XY model shows a Berezinskii-Kosterlitz-Thouless (BKT) transition between a phase with quasi long-range order and a disordered one, like the corresponding classical model. The effect of the quantum fluctuations is to weaken the…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Luca Capriotti , Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

The phase diagram of two dimensional Josephson arrays is studied by means of the mapping to the quantum XY model. The quantum effects onto the thermodynamics of the system can be evaluated with quantitative accuracy by a semiclassical…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

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 analyse the Bose-Einstein condensation process and the Berezinskii-Kosterlitz-Thouless phase transition within the Gross-Pitaevskii model and their interplay with wave turbulence theory. By using numerical experiments we study how the…

Fluid Dynamics · Physics 2014-07-28 Sergey Nazarenko , Miguel Onorato , Davide Proment

The Berezinskii-Kosterlitz-Thouless mechanism, in which a phase transition is mediated by the proliferation of topological defects, governs the critical behaviour of a wide range of equilibrium two-dimensional systems with a continuous…

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

The superfluid to normal fluid transition of dipolar bosons in two dimensions is studied throughout the whole density range using path integral Monte Carlo simulations and summarized in the phase diagram. While at low densities, we find…

Atomic Physics · Physics 2015-05-18 A. V. Filinov , N. V. Prokof'ev , M. Bonitz