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Two dimensional systems with U(1) symmetry exhibit a peculiar phase, i.e., the Berezinskii-Kosterlitz-Thouless (BKT) phase. In particular situations, the BKT phase exists as an intermediate temperature phase. There have been scenarios for…

Statistical Mechanics · Physics 2015-11-10 Masamichi Nishino , Seiji Miyashita

We investigate the convergence properties of finite-temperature perturbation theory by considering the mathematical structure of thermodynamic potentials using complex analysis. We discover that zeros of the partition function lead to poles…

Chemical Physics · Physics 2022-05-18 Yi Sun , Hugh G. A. Burton

Phase transitions of a finite-size two-dimensional quantum fluid of bosons in presence of impurities are studied by using the truncated Gross-Pitaevskii model. Impurities are described with classical degrees of freedom. A spontaneous…

Statistical Mechanics · Physics 2019-07-03 Umberto Giuriato , Giorgio Krstulovic , Davide Proment

We study the Wigner crystal melting in a two dimensional quantum system of particles interacting via the 1/r Coulomb potential. We use quantum Monte Carlo methods to calculate its phase diagram, locate the Wigner crystal region, and analyze…

Strongly Correlated Electrons · Physics 2013-05-29 Bryan K. Clark , Michele Casula , D. M. Ceperley

A two-component two-dimensional (2D) dipolar bosonic system in the bilayer geometry is considered. By performing quantum Monte Carlo simulations in a wide range of layer spacings we analyze in detail the pair correlation functions, the…

Quantum Gases · Physics 2016-08-03 Alexey Filinov

We present a theoretical study of the Berezinskii-Kosterlitz-Thouless transition of a two-dimensional superfluid in the presence of an externally imposed density modulation along a single axis. The subject is investigated in the context of…

Statistical Mechanics · Physics 2023-06-01 Domenico Giuliano , Phong H. Nguyen , Andrea Nava , Massimo Boninsegni

The one-component Coulomb gas on the sphere, consisting on $N$ unit charges interacting via a logarithmic potential, and in the presence of two external charges each of strength proportional to $N$, is considered. There are two spherical…

Mathematical Physics · Physics 2025-01-10 Sung-Soo Byun , Peter J. Forrester , Sampad Lahiry

We show that the mutual coherence of a relativistic electron beam in a Coulomb-disordered medium is governed by an effective two-dimensional compact phase field with a logarithmic correlation function. The corresponding Gaussian free-field…

Disordered Systems and Neural Networks · Physics 2026-05-22 Yury A. Budkov

In a granular gas, inelastic collisions produce an instability in which the constituent particles cluster heterogeneously. These clusters then interact with each other, further decreasing their kinetic energy. We report experiments of the…

Soft Condensed Matter · Physics 2015-06-17 Justin C. Burton , Peter Y. Lu , Sidney R. Nagel

Effects of two-body dipolar interactions on the effective permittivity/conductivity of a binary, symmetric, random dielectric composite are investigated in a self-consistent framework. By arbitrarily splitting the singularity of the Green…

Disordered Systems and Neural Networks · Physics 2012-06-06 Yves-Patrick Pellegrini , François Willot

Finite systems in confining potentials are known to undergo structural transitions similar to phase transitions. However, these systems are inhomogeneous, and their "melting" point may depend on the position in the trap and vary with the…

Plasma Physics · Physics 2015-04-29 H. Thomsen , M. Bonitz

We present a finite-temperature study of Bopp-Podolsky electrodynamics, following electron-proton plasmas through one- and two-loop order with dimensional regularisation and hard-thermal-loop resummation. The higher-derivative operator is…

High Energy Physics - Phenomenology · Physics 2025-08-05 Prabhat Singh , Punit Kumar

In the framework of the grand-canonical ensemble of statistical mechanics, we give an exact diagrammatic representation of the density profiles in a classical multicomponent plasma near a dielectric wall. By a reorganization of Mayer…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu

Possible generalizations of the topological (or Berezinskii-Kosterlitz-Thouless) phase transition on multicomponent 2D systems with nontrivial vector homotopic group pi_1 are considered. Relations between Ginzburg-Landau like theories,…

High Energy Physics - Theory · Physics 2009-10-31 S. A. Bulgadaev

To study the interplay of jamming, cluster formation, and motility-induced phase separation in the zero temperature limit in two dimensions, we consider a simple model system consisting of a bidisperse mixture of disks that are only subject…

Soft Condensed Matter · Physics 2023-06-16 Michael Schmiedeberg

We consider a Hamiltonian system made of $N$ classical particles moving in two dimensions, coupled via an {\it infinite-range interaction} gauged by a parameter $A$. This system shows a low energy phase with most of the particles trapped in…

Statistical Mechanics · Physics 2009-11-07 Mickael Antoni , Stefano Ruffo , Alessandro Torcini

The Berezinskii-Kosterlitz-Thouless (BKT) transition is the prototype of a phase transition driven by the formation and interaction of topological defects in two-dimensional (2D) systems. In typical models these are vortices: above a…

Superconductivity · Physics 2026-02-27 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur

In a recent article [R. Bombin, F. Mazzanti and J. Boronat, Phys. Rev. A100, 063614 (2019)], it is contended that a two-dimensional system of dipolar bosons, with dipole moments aligned at particular angles with respect to the direction…

Quantum Gases · Physics 2020-10-28 Fabio Cinti , Massimo Boninsegni

The two-dimensional one-component plasma ---2dOCP--- is a system composed by $n$ mobile particles with charge $q$ over a neutralizing background in a two-dimensional surface. The Boltzmann factor of this system, at temperature $T$, takes…

Statistical Mechanics · Physics 2016-05-09 Johnny Alejandro Mora Grimaldo , Gabriel Tellez

A new approach to the Berezinskii-Kosterlitz-Thouless transition in the two-dimensional Coulomb gas model is explored by MC simulation and finite size scaling. The usual mapping of a neutral two-dimensional superconductor in zero magnetic…

Statistical Mechanics · Physics 2018-12-26 Rogelio Díaz-Méndez , Jack Lidmar , Mats Wallin