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We consider the 2D $J_1-J_2$ classical XY model on a square lattice. In the frustrated phase corresponding to $J_2>J_1/2$, an Ising order parameter emerges by an ``order due to disorder'' effect. This leads to a discrete symmetry plus the…

Statistical Mechanics · Physics 2016-08-31 P. Simon

A model for nonequilibrium wetting in 1+1 dimensions is introduced. It comprises adsorption and desorption processes with a dynamics which generically does not obey detailed balance. Depending on the rates of the dynamical processes the…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen , Roberto Livi , David Mukamel , Antonio Politi

A comprehensive theory for electronic transport in itinerant ferromagnets is developed. We first show that the Q-field theory used previously to describe a disordered Fermi liquid also has a saddle-point solution that describes a…

Statistical Mechanics · Physics 2009-10-31 T. R. Kirkpatrick , D. Belitz

We consider phase transitions and potential co-existence of spin-density-wave (SDW) magnetic order and extended s-wave ($s^+$) superconducting order within a two-band itinerant model of iron pnictides, in which SDW magnetism and $s^+$…

Superconductivity · Physics 2009-02-22 A. B. Vorontsov , M. G. Vavilov , A. V. Chubukov

We study a holographic model realizing an "antiferromagnetic" phase in which a global SU(2) symmetry representing spin is broken down to a U(1) by the presence of a finite electric charge density. This involves the condensation of a neutral…

High Energy Physics - Theory · Physics 2014-11-20 Nabil Iqbal , Hong Liu , Márk Mezei , Qimiao Si

Previous studies on the generalized XY model have concentrated on the equilibrium phase diagram and the equilibrium nature of distinct phases under varying parameter conditions. We direct our attention towards examining the systems…

Soft Condensed Matter · Physics 2024-04-19 Partha Sarathi Mondal , Pawan Kumar Mishra , Shradha Mishra

We set out to explore the possibility of investigating the critical behavior of systems with first-order phase transition using deep machine learning. We propose a machine learning protocol with ternary classification of instantaneous spin…

Statistical Mechanics · Physics 2025-10-28 Diana Sukhoverkhova , Vyacheslav Mozolenko , Lev Shchur

We consider the patterns of collective motion emerging when many aligning, self-propelling units move in two dimensions while interacting through a repulsive potential and are also subject to delays and random perturbations. In this…

Soft Condensed Matter · Physics 2023-11-14 Fatemeh Pakpour , Tamás Vicsek

Phase transitions are ubiquitous phenomena, exemplified by the melting of ice and spontaneous magnetization of magnetic material. In general, a phase transition is associated with a symmetry breaking of a system; occurs due to the…

Statistical Mechanics · Physics 2015-12-25 Tasrief Surungan , Yukihiro Komura , Yutaka Okabe

The Hubbard-Holstein model is one of the central models that describe the competition between electron-electron and electron-phonon interactions. In one dimension and at half-filling, the interplay between an electronic spin-density wave…

Strongly Correlated Electrons · Physics 2024-12-19 Manuel Weber

We discuss the low energy theory of two-dimensional metals near the onset of spin density wave order. It is well known that such a metal has a superconducting instability induced by the formation of spin-singlet pairs of electrons, with the…

Superconductivity · Physics 2010-11-02 Max A. Metlitski , Subir Sachdev

Extensive studies have investigated the transition mechanism of boundary layers initiated by a single primary instability. In a real-world scenario, however, multiple primary instabilities of different physical nature would coexist and…

Fluid Dynamics · Physics 2026-03-18 Xiao-Bai Li , Yifeng Chen , Chihyung Wen , Peixu Guo

A version of the second order phase transition theory, in which the Nernst theorem holds automatically, is proposed. The theory is constructed in terms of the order parameter and the (configurational) entropy. It faithfully reproduces the…

Statistical Mechanics · Physics 2015-05-15 Metlov S. Leonid

In the absence of magnetic field or spin-orbit coupling the one-parameter scaling theory predicts localization of all states in two-dimensional (2D) disordered systems, for any amount of disorder. However, a 2D metallic phase has been…

Disordered Systems and Neural Networks · Physics 2016-04-20 Shie-Jie Xiong , G. N. Katomeris , S. N. Evangelou

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

We study the spin-glass transition in a disordered quantum model. There is a region in the phase diagram where quantum effects are small and the phase transition is second order, as in the classical case. In another region, quantum…

Statistical Mechanics · Physics 2009-10-31 Leticia F. Cugliandolo , Daniel R. Grempel , Constantino A. da Silva Santos

We study the $T=0$ phase diagrams of models of bilayers of $S=1/2$ square lattices antiferromagnets with SU(2) Heisenberg symmetry that have 2, 4, and 6 spin exchanges. We study two families of bilayer models with distinct internal…

Strongly Correlated Electrons · Physics 2026-03-11 Fan Zhang , Nisheeta Desai , Wenan Guo , Ribhu K. Kaul

In tensor network representation, the partition function of a generalized two-dimensional XY spin model with topological integer and half-integer vortex excitations is mapped to a tensor product of one-dimensional quantum transfer operator,…

Strongly Correlated Electrons · Physics 2021-01-27 Feng-Feng Song , Guang-Ming Zhang

We demonstrate a three-dimensional Kosterlitz-Thouless (KT) transition in the random field XY model driven out of thermal equilibrium. By employing the spin-wave approximation and functional renormalization group approach, in the weak…

Statistical Mechanics · Physics 2018-09-26 Taiki Haga

We show, that the standard model of phase transition can be unified with the gradient model of phase transitions using the description in terms of the gradient of order parameter. The generalization of the gradient theory of phase…

Statistical Mechanics · Physics 2012-06-21 B. I. Lev , A. G. Zagorodny
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