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The field-induced Berezinskii-Kosterlitz-Thouless (BKT) transition in the ground state of the triangular antiferromagnetic Ising model is studied by the level-spectroscopy method. We analyze dimensions of operators around the BKT line, and…

Statistical Mechanics · Physics 2009-11-11 Hiromi Otsuka , Yutaka Okabe , Kouichi Okunishi

We study nonlinear fluctuating hydrodynamic theories with charge and energy conservation in and above two dimensions that describe the large-scale behavior of the Hamiltonian XY model in the disordered and ordered phases. Using…

Statistical Mechanics · Physics 2025-02-18 Ken Hiura

Berezinskii-Kosterlitz-Thouless (BKT) transition, the topological phase transition to a quasi-long range order in a two-dimensional (2D) system, is a hallmark of low-dimensional topological physics. The recent emergence of non-Hermitian…

Quantum Gases · Physics 2021-07-23 Yun-Mei Li , Xi-Wang Luo , Chuanwei Zhang

We propose a two-dimensional hard-core loop-gas model as a way to regularize the asymptotically free massive continuum quantum field theory that emerges at the Berezinskii-Kosterlitz-Thouless transition. Without fine-tuning, our model can…

High Energy Physics - Lattice · Physics 2025-02-18 Sandip Maiti , Debasish Banerjee , Shailesh Chandrasekharan , Marina K. Marinkovic

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

The nematic-to-isotropic orientational phase transition, or equivalently the $RP^2$ model, is considered in two dimensions and the question of the nature of the phase transition is addressed. Using powerful conformal techniques adapted to…

Statistical Mechanics · Physics 2009-11-10 A. I. Farinas Sanchez , R. Paredes V. , B. Berche

Using Monte Carlo simulations and finite-size scaling, we study three-state Potts antiferromagnet on layered square lattice with two and four layers $L_z=2$ and $4$. As temperature decreases, the system develops quasi-long-range order via a…

Statistical Mechanics · Physics 2015-06-23 Chengxiang Ding , Wenan Guo , Youjin Deng

In two-dimensional systems with a continuous symmetry the Mermin-Wagner-Hohenberg theorem precludes spontaneous symmetry breaking and condensation at finite temperature. The Berezinskii-Kosterlitz-Thouless critical temperature marks the…

Quantum Gases · Physics 2016-02-04 G. Bighin , L. Salasnich

We consider the two-dimensional one-component plasma without a background and confined to a half plane near a metal wall. The particles are also subjected to an external potential acting perpendicular to the wall with an inverse power law…

Condensed Matter · Physics 2009-10-28 A. Alastuey , P. J. Forrester

We present a controlled numerical study of the Berezinskii-Kosterlitz-Thouless (BKT) transition in the one-dimensional Bose-Hubbard model at unit filling, providing evidence of the characteristic logarithmic finite-size scaling of the BKT…

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 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…

The superfluid phase transition of bosons in a two-dimensional (2D) system with disorder and an external parabolic potential is studied. The theory is applied to experiments on indirect excitons in coupled quantum wells. The random field is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Oleg L. Berman , Yurii E. Lozovik , David W. Snoke , Rob D. Coalson

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

Driven-dissipative systems in two dimensions can differ substantially from their equilibrium counterparts. In particular, a dramatic loss of off-diagonal algebraic order and superfluidity has been predicted to occur due to the interplay…

Quantum Gases · Physics 2017-10-18 A. Zamora , L. M. Sieberer , K. Dunnett , S. Diehl , M. H. Szymańska

We study the dynamics of a classical, two-component plasma in two dimensions, in the vicinity of the Kosterlitz-Thouless (KT) transition where the system passes from a dielectric low-temperature phase (consisting of bound pairs) to a…

Statistical Mechanics · Physics 2007-05-23 Dierk Bormann , Hans Beck , Oliver Gallus , Massimiliano Capezzali

We study the two-dimensional two-component Coulomb gas in the canonical ensemble and at inverse temperature $\beta>2$. In this regime, the partition function diverges and the interaction needs to be cut off at a length scale $\lambda\in…

Mathematical Physics · Physics 2026-02-24 Jeanne Boursier , Sylvia Serfaty

We consider the interacting helical liquid system at the one-dimensional edge of a two-dimensional topological insulator, coupled to an external magnetic field and s-wave superconductor and map it to an XYZ spin chain system. This model…

Statistical Mechanics · Physics 2021-01-18 Ranjith Kumar R , Rahul S , Surya Narayan , Sujit Sarkar

Non-analytic Bloch eigenstates at isolated band degeneracy points exhibit singular behavior in the quantum metric. Here, a description of superfluid weight for zero-energy flat bands in proximity to other high-energy bands is presented,…

Superconductivity · Physics 2026-01-19 Guodong Jiang , Päivi Törmä , Yafis Barlas

Symmetry breaking in topological matter has become in recent years a key concept in condensed matter physics to unveil novel electronic states. In this work, we predict that broken inversion symmetry and strong spin-orbit coupling in…

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