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Related papers: BKT transition and level spectroscopy

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In the past decades considerable efforts have been made in order to understand the critical features of both classical and quantum long-range interacting models. The case of the Berezinskii-Kosterlitz-Thouless (BKT) universality class, as…

Statistical Mechanics · Physics 2023-11-17 Guido Giachetti , Andrea Trombettoni , Stefano Ruffo , Nicolò Defenu

A number of two-dimensional(2D) critical phenomena can be described in terms of the 2D sine-Gordon model. With the bosonization, several 1D quantum systems are also transformed to the same model. However, the transition of the 2D…

Condensed Matter · Physics 2009-10-28 Kiyohide Nomura

The quenched dynamics of an ultracold homogeneous atomic two-dimensional Bose gas subjected to periodic quenches across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition are discussed. Specifically, we address the effect of…

Quantum Gases · Physics 2021-02-03 Kate Brown , Thomas Bland , Paolo Comaron , Nick P. Proukakis

As the spin-triplet superconductivity arises from the condensation of spinful Cooper pairs, its full characterization requires not only charge ordering, but also spin ordering. For a two-dimensional (2D) easy-plane spin-triplet…

Superconductivity · Physics 2024-01-24 Suk Bum Chung , Se Kwon Kim

We study the effect of a linear tunneling coupling between 2D systems, each separately exhibiting the topological Berezinskii-Kosterlitz-Thouless (BKT) transition. In the uncoupled limit, there are two phases: one where the 1-body…

Statistical Mechanics · Physics 2019-09-11 Giacomo Bighin , Nicolò Defenu , István Nándori , Luca Salasnich , Andrea Trombettoni

In this paper, the influence of an in-plane magnetic field B_\parallel on the finite-temperature phase transitions in nu=2 bilayer quantum Hall systems are examined. It is found that there can exist two types of finite-temperature phase…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Min-Fong Yang , Ming-Che Chang

We study bond percolation on a one-parameter family of hierarchical small-world network, and find a meta-transition between the inverted BKT transition and the abrupt transition driven by changing the network topology. It is found that the…

Statistical Mechanics · Physics 2014-04-17 Tomoaki Nogawa , Takehisa Hasegawa

We prepare and study strongly interacting two-dimensional Bose gases in the superfluid, the classical Berezinskii-Kosterlitz-Thouless (BKT) transition, and the vacuum-to-superfluid quantum critical regimes. A wide range of the two-body…

Quantum Gases · Physics 2013-04-05 Li-Chung Ha , Chen-Lung Hung , Xibo Zhang , Ulrich Eismann , Shih-Kuang Tung , Cheng Chin

A two-dimensional (2D) spin-1 Bose gas exhibits two Berezenskii-Kosterlitz-Thouless (BKT) transitions in the easy-plane ferromagnetic phase. The higher temperature transition is associated with superfluidity of the mass current determined…

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

With the recent developments in machine learning, Carrasquilla and Melko have proposed a paradigm that is complementary to the conventional approach for the study of spin models. As an alternative to investigating the thermal average of…

Statistical Mechanics · Physics 2020-02-12 Kenta Shiina , Hiroyuki Mori , Yutaka Okabe , Hwee Kuan Lee

The conformal anomaly is key to describing the physics of interacting field theories in two dimensions, and has been shown to obtain finite-size corrections that are useful to numerical and experimental studies. At…

Strongly Correlated Electrons · Physics 2024-11-27 Jon Spalding

Normal-metal films overlaid with arrays of superconducting islands undergo Berezinskii-Kosterlitz-Thouless (BKT) superconducting transitions at a temperature $T_{BKT}$. We present measurements of T$_{BKT}$ for arrays of mesoscopic Nb…

Superconductivity · Physics 2015-12-17 Serena Eley , Sarang Gopalakrishnan , Paul M. Goldbart , Nadya Mason

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 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

At large parallel magnetic field $B_\parallel$, the ground state of bilayer quantum Hall system forms uniform soliton lattice phase. The soliton lattice will melt due to the proliferation of unbound dislocations at certain finite…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Park , K. Moon , C. Ahn , J. Yeo , C. Rim , B. H. Lee

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

The nature of the superconducting transition in highly underdoped thick films of La$_{2-x}$Sr$_x$CuO$_4$ ($x=0.07$ and 0.08) has been investigated using the in-plane transport measurements. The contribution of superconducting fluctuations…

Superconductivity · Physics 2016-02-03 P. G. Baity , Xiaoyan Shi , Zhenzhong Shi , L. Benfatto , Dragana Popović

We adopt the neural network flow (NN flow) method to study the Berezinskii-Kosterlitz-Thouless (BKT) phase transitions of the 2-dimensional q-state clock model with $q\ge 4$. The NN flow consists of a sequence of the same units to proceed…

Disordered Systems and Neural Networks · Physics 2023-12-27 Kwai-Kong Ng , Ching-Yu Huang , Feng-Li Lin

It is known that there is no phase transition down to zero temperature in the antiferromagnetic Ising model on spatially anisotropic triangular lattices, in which the exchange coupling of one direction is stronger than those of other two…

Statistical Mechanics · Physics 2013-06-24 Masahiro Sato , Naoyuki Watanabe , Nobuo Furukawa