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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

The Berezinskii-Kosterlitz-Thouless (BKT) transition is a generic transition describing the loss of coherence in two dimensional systems, and has been invoked, for example, to describe the superconductor-insulator transition in thin films.…

Superconductivity · Physics 2013-11-22 Amir Erez , Yigal Meir

The Berezinsky-Kosterlitz-Thouless (BKT) type phase transitions in two-dimensional systems with internal abelian continuous symmetries are investigated. The necessary conditions for they can take place are: 1) conformal invariance of the…

High Energy Physics - Theory · Physics 2016-09-06 S. A. Bulgadaev

We find the first example of a quantum Berenzinskii-Kosterlitz-Thouless (BKT) phase transition in two spatial dimensions via holography. This transition occurs in the D3/D5 system at nonzero density and magnetic field. At any nonzero…

High Energy Physics - Theory · Physics 2014-11-20 Kristan Jensen , Andreas Karch , Dam T. Son , Ethan G. Thompson

Fluctuations are an intrinsic feature of many-body systems, and their full statistical distributions reveal a wealth of information about the underlying physics. Of particular interest are non-Gaussian, extreme-value statistics that arise…

Quantum Gases · Physics 2026-01-23 Abel Beregi , En Chang , Erik Rydow , Christopher J. Foot , Shinichi Sunami

The disorder-induced quantum phase transition between superfluid and non-superfluid states of bosonic particles in one dimension is generally expected to be of the Berezinskii-Kosterlitz-Thouless (BKT) type. Here, we show that hard-core…

Field-tuned superconductor-insulator transition (FSIT) behavior in 2D isotropic and homogeneous thin films is usually accompanied by a nonvanishing critical resistance at low $T$. It is shown that, in a 2D film including line defects…

Superconductivity · Physics 2009-11-13 Kiyokazu Myojin , Ryusuke Ikeda

Phase transitions give crucial insight into many-body systems, as crossovers between different regimes of order are determined by the underlying dynamics. These dynamics, in turn, are often constrained by dimensionality and geometry. For…

Quantum Gases · Physics 2013-04-26 Guohai Situ , Stefan Muenzel , Jason W. Fleischer

The conflicting observations in the highly anisotropic Bi2Sr2CaCu2O8+x, vidence for BKT behavior emerging from magnetization data and smeared 3D-xy behavior, stemming form the temperature dependence of the magnetic in-plane penetration…

Superconductivity · Physics 2009-11-13 T. Schneider

We report the manifestation of field-induced Berezinskii-Kosterlitz-Thouless (BKT) correlations in the weakly coupled spin-1/2 Heisenberg layers of the molecular-based bulk material [Cu(pz)$_2$(2-HOpy)$_2$](PF$_6$)$_2$. Due to the moderate…

There has been ongoing debate over the critical behavior of two-dimensional superconductors; in particular for high Tc superconductors. The conventional view is that a Kosterlitz-Thouless-Berezinskii transition occurs as long as finite size…

Superconductivity · Physics 2009-11-10 D. R. Strachan , C. J. Lobb , R. S. Newrock

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

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 $T_{BKT}$…

We investigate the critical behaviors of correlation length and critical exponents for strongly interacting bosons in a two-dimensional optical lattice via quantum Monte Carlo simulations. By comparing the full numerical results to those…

Quantum Gases · Physics 2017-05-24 Hao Lee , Shiang Fang , Daw-Wei Wang

Using the two dimensional $XY-(S(O(3))$ model as a test case, we show that analysis of the Fisher zeros of the canonical partition function can provide signatures of a transition in the Berezinskii-Kosterlitz-Thouless ($BKT$) universality…

Statistical Mechanics · Physics 2016-10-21 J. C. S. Rocha , L. A. S. Mól , B. V. Costa

The collective behavior of a many-body system near a continuous phase transition is insensitive to the details of its microscopic physics[1]. Characteristic features near the phase transition are that the thermodynamic observables follow…

Quantum Gases · Physics 2011-02-11 Chen-Lung Hung , Xibo Zhang , Nathan Gemelke , Cheng Chin

This paper addresses the transition from the normal to the superfluid state in strongly correlated two dimensional fermionic superconductors and Fermi gases. We arrive at the Berezinskii-Kosterlitz-Thouless (BKT) temperature…

Superconductivity · Physics 2020-07-13 Xiaoyu Wang , Qijin Chen , K. Levin

The Berezinskii-Kosterlitz-Thouless (BKT) transition is a typical topological phase transition defined between binding and unbinding states of vortices and antivortices, which is not accompanied by spontaneous symmetry breaking. It is known…

Statistical Mechanics · Physics 2025-02-14 Masahito Mochizuki , Yusuke Miyajima

We study the critical point for the emergence of coherence in a harmonically trapped two-dimensional Bose gas with tuneable interactions. Over a wide range of interaction strengths we find excellent agreement with the classical-field…

We study the boundary criticality enriched by boundary fermions, which ubiquitously emerge in topological phases of matter, with a focus on topological insulators and topological superconductors. By employing dimensional regularization and…

Strongly Correlated Electrons · Physics 2025-07-23 Xiaoyang Shen , Zhengzhi Wu , Shao-Kai Jian