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We investigate the Berezinskii-Kosterlitz-Thouless (BKT) transition in a semiconductor-superconductor two-dimensional Josephson junction array. Tuned by an electrostatic top gate, the system exhibits separate superconducting (S), anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 C. G. L. Bøttcher , F. Nichele , J. Shabani , C. J. Palmstrøm , C. M. Marcus

We present a numerical study of the two-dimensional quantum percolation model, revealing that a critical region with multifractal eigenstates mediates the transition from localized to delocalized states. By analyzing the mean level ratio…

Disordered Systems and Neural Networks · Physics 2025-10-28 W. S. Oliveira , J. Pimentel de Lima , F. A. Pinheiro , R. R. dos Santos

Numerical simulations of the full quantum properties of interacting many-body systems by means of field-theoretic Monte-Carlo techniques are often limited due to a sign problem. Here we simulate properties of a dilute two-dimensional Bose…

Quantum Gases · Physics 2024-02-26 Philipp Heinen , Thomas Gasenzer

Using high-precision numerical analysis, we show that 3+1 dimensional gauge theories holographically dual to 4+1 dimensional Einstein-Maxwell-Chern-Simons theory undergo a quantum phase transition in the presence of a finite charge density…

High Energy Physics - Theory · Physics 2014-11-20 Eric D'Hoker , Per Kraus

We study a four-component polariton system in the optical parametric oscillator regime consisting of exciton/photon and signal/idler modes across the Berezinskii-Kosterlitz-Thouless (BKT) transition. We show that all four components share…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 G. Dagvadorj , P. Comaron , M. H. Szymanska

We solve the ferromagnetic q-state Potts model on an inhomogeneous annealed network which mimics a random recursive graph. We find that this system has the inverted Berezinskii--Kosterlitz--Thouless (BKT) phase transition for any $q \geq…

Statistical Mechanics · Physics 2009-11-13 E. Khajeh , S. N. Dorogovtsev , J. F. F. Mendes

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition drives the unbinding of topological defects in many two-dimensional systems. In the two-dimensional Coulomb gas, it corresponds to an insulator-conductor transition driven by charge…

Statistical Mechanics · Physics 2016-10-31 Michael F. Faulkner , Steven T. Bramwell , Peter C. W. Holdsworth

We discuss the d=2 quantum O(2)xO(2) nonlinear sigma model as a low-energy theory of phase reconstruction near a quantum critical point. We first examine the evolution of the Berezinskii-Kosterlitz-Thouless (BKT) transition as the quantum…

Strongly Correlated Electrons · Physics 2015-11-05 C. A. Hooley , S. T. Carr , J. M. Fellows , J. Schmalian

We study the phase diagram and critical behavior of a two-dimensional lattice SO($N_c$) gauge theory ($N_c \ge 3$) with two scalar flavors, obtained by partially gauging a maximally O($2N_c$) symmetric scalar model. The model is invariant…

High Energy Physics - Lattice · Physics 2021-01-20 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

A two-dimensional quantum system of dipoles, with a polarization angle not perpendicular to the plane, shows a transition from a gas to a stripe phase. We have studied the thermal properties of these two phases using the path integral Monte…

Quantum Gases · Physics 2019-12-11 Raul Bombin , Ferran Mazzanti , Jordi Boronat

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

Proliferation of defects is a mechanism that allows for topological phase transitions. Such a phase transition is found in two dimensions for the XY-model, which lies in the Berezinskii-Kosterlitz-Thouless (BKT) universality class. The…

Statistical Mechanics · Physics 2023-01-30 Kevin T. Grosvenor , Ruben Lier , Piotr Surówka

Two-dimensional superconductors and electron-hole superfluids in van der Waals heterostructures having tunable valence and conduction bands in the electronic spectrum are emerging as rich platforms to investigate novel quantum phases and…

Superconductivity · Physics 2024-03-14 Giovanni Midei , Andrea Perali

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

In two dimensions, a phase-coherent superconducting state is established via a Berezinskii-Kosterlitz-Thouless (BKT) transition, whose critical temperature $T_{\rm BKT}$ is determined by the global superfluid stiffness in uniform…

This work is an extension of our previous work [1] where we exploited holography to compute the complexity characteristics of Little String Theory (LST), a nonlocal, nongravitational field theory which flows to a local 2d CFT in the IR…

High Energy Physics - Theory · Physics 2022-11-09 Gaurav Katoch , Swejyoti Mitra , Shubho R. Roy

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

A system of two dimensional photon gas has recently been realized experimentally. It is pointed out that this setup can be used to observe a universal breathing mode of photon gas. It is shown that a modification in the experimental setup…

Optics · Physics 2014-07-17 Vivek M. Vyas , Prasanta K. Panigrahi , J. Banerji

We discuss the crucial role played by finite-size effects and inhomogeneity on the Beresinkii-Kosterlitz-Thouless (BKT) transition in two-dimensional superconductors. In particular, we focus on the temperature dependence of the resistivity,…

Superconductivity · Physics 2010-01-11 L. Benfatto , C. Castellani , T. Giamarchi

In this paper, we thoroughly examined the Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the two-dimensional XY model on the honeycomb lattice. To address its thermodynamical behavior, we combined standard numerical Monte Carlo…

Statistical Mechanics · Physics 2025-04-14 Felipe E. F. de Andrade , L. N. Jorge , Claudio J. DaSilva