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We consider a classical XY-like Hamiltonian on a body-centered tetragonal lattice, focusing on the role of interlayer frustration. A three-dimensional (3D) ordered phase is realized via thermal fluctuations, breaking the mirror-image…

Strongly Correlated Electrons · Physics 2012-03-12 Yoshitomo Kamiya , Naoki Kawashima , Cristian D. Batista

The Berezinskii-Kostelitz-Thouless (BKT) transition is the paradigmatic example of a topological phase transition without symmetry-breaking, where a quasi-ordered phase, characterized by a power law scaling of the correlation functions at…

Statistical Mechanics · Physics 2021-10-14 Guido Giachetti , Nicolo Defenu , Stefano Ruffo , Andrea Trombettoni

We investigate the finite-temperature phase diagram of the classical Kitaev-Heisenberg model on the hexagonal lattice. Due to the anisotropy introduced by the Kitaev interaction, the model is magnetically ordered at low temperatures for all…

Strongly Correlated Electrons · Physics 2013-07-19 Craig Price , Natalia B. Perkins

We examine the ground-state phase diagram and thermal phase transitions in a plaquettized fully frustrated bilayer spin-1/2 Heisenberg model. Based on a combined analysis from sign-problem free quantum Monte Carlo simulations, perturbation…

Strongly Correlated Electrons · Physics 2022-12-28 Lukas Weber , Antoine Yves Dimitri Fache , Frédéric Mila , Stefan Wessel

The Berezinskii-Kosterlitz-Thouless mechanism, in which a phase transition is mediated by the proliferation of topological defects, governs the critical behaviour of a wide range of equilibrium two-dimensional systems with a continuous…

We reexamine the two-dimensional linear O(2) model ($\varphi^4$ theory) in the framework of the nonperturbative renormalization-group. From the flow equations obtained in the derivative expansion to second order and with optimization of the…

Statistical Mechanics · Physics 2014-12-08 P. Jakubczyk , N. Dupuis , B. Delamotte

We obtain a representation of the free energy of an XY model on a fully connected graph with spins subjected to a random crystal field of strength $D$ and with random orientation $\alpha$. Results are obtained for an arbitrary probability…

Statistical Mechanics · Physics 2022-02-14 Sumedha , M. Barma

We investigate the finite-temperature phase diagram of the classical $J_1$-$J_2$ XY model on a square lattice using a tensor network approach designed for frustrated spin systems. This model, characterized by competing nearest-neighbor and…

Strongly Correlated Electrons · Physics 2024-12-30 Feng-Feng Song , Hanggai Nuomin , Naoki Kawashima

Monte Carlo simulations of the uniformly frustrated 3d XY model are used to model vortex line fluctuations in high temperature superconductors in an applied magnetic field. We find two distinct phase transitions. At a lower T_{c\perp}, the…

Condensed Matter · Physics 2009-10-22 Ying-Hong Li , S. Teitel

Using numerical techniques and asymptotic expansions we obtain the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in systems with negative short-range compressibility. The transition from the homogeneous phase…

Strongly Correlated Electrons · Physics 2008-07-10 C. Ortix , J. Lorenzana , C. Di Castro

Using the tensor network approach, we investigate the monomer-dimer models on a checkerboard lattice, in which there are interactions (with strength $\nu$) between the parallel dimers on half of the plaquettes. For the fully packed…

Statistical Mechanics · Physics 2015-04-08 Sazi Li , Wei Li , Ziyu Chen

We have used Monte Carlo simulations, combined with finite-size scaling and two different real-space renormalization group approaches, to study a fully frustrated three-dimensional XY model on a simple cubic lattice. This model corresponds…

Superconductivity · Physics 2009-11-11 Kwangmoo Kim , David Stroud

The nonequilibrium phase transition in a system of diffusing, coagulating particles in the presence of a steady input and evaporation of particles is studied. The system undergoes a transition from a phase in which the average number of…

Statistical Mechanics · Physics 2009-11-10 R. Rajesh

We study Kosterlitz-Thouless (KT) transitions of the Larkin-Ovchinnikov (LO) phase for a two-dimensional system composed of coupled one-dimensional tubes of fermions. The LO phase here is characterized by a stripe structure (periodic in…

Quantum Gases · Physics 2011-03-14 Chungwei Lin , Xiaopeng Li , W. Vincent Liu

Using tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases and study the appearance of dynamical quantum phase transitions, as…

High Energy Physics - Lattice · Physics 2025-06-25 Mari Carmen Bañuls , Krzysztof Cichy , Hao-Ti Hung , Ying-Jer Kao , C. -J. David Lin , Amit Singh

We give an elementary and pedagogical review of the phase diagrams which are possible in Quantum ChromoDynamics (QCD). Currently, the emphasis is upon the appearance of a critical endpoint, where disordered and ordered phases meet. In many…

High Energy Physics - Phenomenology · Physics 2022-03-23 Robert D. Pisarski , Vladimir V. Skokov , Alexei M. Tsvelik

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

A nonequilibrium Potts-like model with $q$ absorbing states is studied using Monte Carlo simulations. In two dimensions and $q=3$ the model exhibits a discontinuous transition. For the three-dimensional case and $q=2$ the model exhibits a…

Statistical Mechanics · Physics 2009-11-07 A. Lipowski , M. Droz

We study phase transitions of coupled two dimensional XY systems with spatial anisotropy and $U(1) \times \mathbb{Z}_2$ symmetry, motivated by spinless bosonic atoms trapped in square optical lattice on the metastable first excited…

Strongly Correlated Electrons · Physics 2007-09-24 Cenke Xu

Various phase transitions in models for coupled charge-density waves are investigated by means of the $\epsilon$-expansion, mean-field theory, and Monte Carlo simulations. At zero temperature the effective action for the system with…

Strongly Correlated Electrons · Physics 2009-11-10 Minchul Lee , Eun-Ah Kim , Jong Soo Lim , M. Y. Choi