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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

We study the two-dimensional classical XY model by the large-scale Monte Carlo simulation of the Swendsen-Wang multi-cluster algorithm using multiple GPUs on the open science supercomputer TSUBAME 2.0. Simulating systems up to the linear…

Statistical Mechanics · Physics 2012-10-24 Yukihiro Komura , Yutaka Okabe

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

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

We perform Monte Carlo simulations to study the two dimensional random-bond XY model on a square lattice. Two kinds of bond randomness with the coupling coefficient obeying the Gaussian or uniform distribution are discussed. It is shown…

Statistical Mechanics · Physics 2022-03-23 Yi-Bo Deng , Qiang Gu

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

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

We clarify the long-standing controversy concerning the behavior of the ground state fidelity in the vicinity of a quantum phase transition of the Berezinskii-Kosterlitz-Thouless type in one-dimensional systems. Contrary to the prediction…

Strongly Correlated Electrons · Physics 2015-01-19 G. Sun , A. K. Kolezhuk , T. Vekua

The classical XXZ triangular-lattice antiferromagnet (TAF) shows both an Ising and a BKT transition, related to the chirality and the in-plane spin components, respectively. In this paper the quantum effects on the thermodynamic quantities…

Statistical Mechanics · Physics 2009-10-31 L. Capriotti , A. Cuccoli , V. Tognetti , P. Verrucchi , R. Vaia

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

B-T phase diagram and phase transitions of interlayer Josephson vortices are investigated. For magnetic fields above a critical value, we find a Kosterlitz-Thouless (KT) type intermediate phase characterized by in-plane two-dimensional,…

Superconductivity · Physics 2007-05-23 Xiao Hu , Masashi Tachiki

We investigate the Berezinskii-Kosterlitz-Thouless transitions for the square-lattice six-state clock model with the corner-transfer matrix renormalization group (CTMRG). Scaling analyses for effective correlation length, magnetization, and…

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…

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

Transport properties of the classical antiferromagnetic XXZ model on the square lattice have been theoretically investigated, putting emphasis on how the occurrence of a phase transition is reflected in spin and thermal transports. As is…

Strongly Correlated Electrons · Physics 2019-10-16 Kazushi Aoyama , Hikaru Kawamura

Quantum magnetism is one of the most active fields for exploring exotic phases and phase transitions. The recently synthesized Na2BaCo(PO4)2 (NBCP) is an ideal material incarnation of the spin-1/2 easy axis triangular lattice…

Strongly Correlated Electrons · Physics 2025-10-27 Dechen Zhang , Yuan Zhu , Guoxin Zheng , Kuan-Wen Chen , Qing Huang , Lingxiao Zhou , Yujie Liu , Kaila Jenkins , Aaron Chan , Haidong Zhou , Lu Li

We propose an explanation of the superconducting transitions discovered in the heavy fermion superlattices by Mizukami et al. (Nature Physics 7, 849 (2011)) in terms of Berezinskii-Kosterlitz-Thouless transition. We observe that the…

Strongly Correlated Electrons · Physics 2012-08-20 Jian-Huang She , Alexander V. Balatsky

We study the one-dimensional Bose-Hubbard model describing the superfluid-Mott insulator quantum phase transition of cold atoms in optical lattices. We show that derivatives of the variance of the on-site atom number occupation, computed…

Quantum Gases · Physics 2021-10-12 Mateusz Łącki , Bogdan Damski

The critical behavior of the two-dimensional XY model has been explored in the literature using various methods. They include the high-temperature expansion (HTE) method, Monte Carlo (MC) approach, strong coupling expansion method, and…

High Energy Physics - Lattice · Physics 2023-07-26 Vamika Longia , Anosh Joseph , Abhishek Samlodia

Several power-law critical properties involving different statistics in natural languages -- reminiscent of scaling properties of physical systems at or near phase transitions -- have been documented for decades. The recent rise of large…

Machine Learning · Statistics 2026-01-23 Yuma Toji , Jun Takahashi , Vwani Roychowdhury , Hideyuki Miyahara