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Proper treatment of the many-body interactions is of paramount importance in our understanding of strongly correlated systems. Here we investigate the effects of particle-hole fluctuations on the Berezinskii-Kosterlitz-Thouless (BKT)…

Quantum Gases · Physics 2026-03-13 Junru Wu , Zongpu Wang , Lin Sun , Kaichao Zhang , Chuping Li , Yuxuan Wu , Pengyi Chen , Dingli Yuan , Qijin Chen

Detection of phase transitions is a critical task in statistical physics, traditionally pursued through analytic methods and direct numerical simulations. Recently, machine-learning techniques have emerged as promising tools in this…

Statistical Mechanics · Physics 2025-02-19 Burak Çivitcioğlu , Rudolf A. Römer , Andreas Honecker

The formation and migration of disconnections (line defects constrained to the grain boundary (GB) plane with both dislocation and step character) control many of the kinetic and dynamical properties of GBs and the polycrystalline materials…

Materials Science · Physics 2020-12-16 Kongtao Chen , David J. Srolovitz , Jian Han

We study the superfluid weight $D^s$ and Berezinskii-Kosterlitz-Thouless (BKT) transition temperatures $T_{BKT}$ in case of exotic Fulde-Ferrell (FF) superfluid states in lattice systems. We consider spin-imbalanced systems with and without…

Quantum Gases · Physics 2018-08-21 Aleksi Julku , Long Liang , Päivi Törmä

We study quantum geometric contributions to the Berezinskii-Kosterlitz-Thouless (BKT) transition temperature, $T_{\mathrm{BKT}}$, in the presence of fluctuations beyond BCS theory. Because quantum geometric effects become progressively more…

Superconductivity · Physics 2020-11-06 Zhiqiang Wang , Gaurav Chaudhary , Qijin Chen , K. Levin

We discuss the finite-temperature properties of Bose-Einstein condensates loaded on a 2D optical lattice. In an experimentally attainable range of parameters the system is described by the XY model, which undergoes a…

Statistical Mechanics · Physics 2007-05-23 A. Trombettoni , A. Smerzi , P. Sodano

We have made a detailed study of the phase structure for lattice Schwinger model with one flavor of Wilson fermion on the $(m,g)$ plane. For numerical investigation, we develop a decorated tensor renormalization method for lattice gauge…

High Energy Physics - Lattice · Physics 2018-02-14 Yuya Shimizu , Yoshinobu Kuramashi

Machine learning methods are powerful in distinguishing different phases of matter in an automated way and provide a new perspective on the study of physical phenomena. We train a Restricted Boltzmann Machine (RBM) on data constructed with…

Statistical Mechanics · Physics 2020-09-23 Shotaro Shiba Funai , Dimitrios Giataganas

We study the effect of particle mobility on phase transitions in a spin fluid in two dimensions. The presence of a phase transition of the BKT universality class is shown in an off-lattice model of particles with purely repulsive…

Statistical Mechanics · Physics 2023-02-08 Thomas Bissinger , Matthias Fuchs

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

This is a Reply to the Comment from F. Cinti and M. Boninsegni on our recent work on the Berezinskii-Kosterlitz-Thouless (BKT) phase transition in a two-dimensional dipolar system [R.Bomb\'in, F. Mazzanti and J. Boronat, Physical Review A…

Quantum Gases · Physics 2020-10-21 Raúl Bombín , Ferran Mazzanti , Jordi Boronat

In this paper, we apply machine learning methods to study phase transitions in certain statistical mechanical models on the two dimensional lattices, whose transitions involve non-local or topological properties, including site and bond…

Statistical Mechanics · Physics 2019-06-11 Wanzhou Zhang , Jiayu Liu , Tzu-Chieh Wei

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

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

We study the effect of spin-orbit coupling on both the zero-temperature and non-zero temperature behavior of a two-dimensional (2D) Fermi gas. We include a generic combination of Rashba and Dresselhaus terms into the system Hamiltonian,…

Quantum Gases · Physics 2015-11-02 Jeroen P. A. Devreese , Jacques Tempere , Carlos A. R. Sá de Melo

The present work is devoted to the investigation of the interaction between vortices (topological defects) and site-impurities (structural defects) in the 2D XY model and its influence on the well-known properties of the pure system. The…

Statistical Mechanics · Physics 2009-11-13 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

The two-dimensional $q$-state clock model for $q \geq 5$ undergoes two Berezinskii-Kosterlitz-Thouless (BKT) phase transitions as temperature decreases. Here we report an extensive worm-type simulation of the square-lattice clock model for…

Statistical Mechanics · Physics 2022-08-24 Hao Chen , Pengcheng Hou , Sheng Fang , Youjin Deng

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

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

We investigate quantum phase transitions in a topological Josephson junction with an embedded ferromagnetic layer, revealing a rich landscape of critical phenomena. The low-energy excitations comprise Majorana fermions propagating along the…

Mesoscale and Nanoscale Physics · Physics 2025-05-26 Adrian Reich , Dmitriy S. Shapiro , Alexander Shnirman