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Related papers: Baxter-Wu model in a transverse magnetic field

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We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal-field coupling $\Delta$ with the goal of determining the universality class of transitions along the second-order part of the…

Statistical Mechanics · Physics 2023-08-28 A. R. S. Macedo , A. Vasilopoulos , M. Akritidis , J. A. Plascak , N. G. Fytas , M. Weigel

The critical behavior of the Baxter-Wu model belongs to the universality class of the four-state Potts model. While the introduction of annealed vacancies does not alter the criticality of the four-state Potts model, the dilute Baxter-Wu…

Statistical Mechanics · Physics 2026-05-14 Dimitrios Mataragkas , Alexandros Vasilopoulos , Dong-Hee Kim , Nikolaos G. Fytas

A classic three-dimensional spin model, based upon the Baxter-Wu scheme, is presented. It is found, by entropic sampling simulations, that the behavior of the energy and magnetization fourth-order cumulants points out to a first order phase…

Statistical Mechanics · Physics 2019-10-02 L. N. Jorge , L. S. Ferreira , A. A. Caparica

We study the question of universality in the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal field $\Delta$. We employ extensive numerical simulations of two types, providing us with complementary results: Wang-Landau…

Statistical Mechanics · Physics 2022-05-26 Alexandros Vasilopoulos , Nikolaos G. Fytas , Erol Vatansever , Anastasios Malakis , Martin Weigel

We study two types of generalized Baxter-Wu models, by means of transfer-matrix and Monte Carlo techniques. The first generalization allows for different couplings in the up- and down triangles, and the second generalization is to a…

Statistical Mechanics · Physics 2010-03-19 Youjin Deng , Wenan Guo , Jouke R. Heringa , Henk W. J. Blöte , Bernard Nienhuis

A Monte Carlo simulation study of the critical and off-critical behavior of the Baxter-Wu model, which belongs to the universality class of the 4-state Potts model, was performed. We estimate the critical temperature window using known…

Statistical Mechanics · Physics 2014-11-21 Lev N. Shchur , Wolfhard Janke

We investigate the zero-temperature quantum phase transition of the random bond Ising chain in a transverse magnetic field. Its critical properties are identical to those of the McCoy-Wu model, which is a classical Ising model in two…

Condensed Matter · Physics 2009-10-22 A. Crisanti , H. Rieger

We study a self-dual generalization of the Baxter-Wu model, employing results obtained by transfer matrix calculations of the magnetic scaling dimension and the free energy. While the pure critical Baxter-Wu model displays the critical…

Statistical Mechanics · Physics 2017-10-18 H. W. J. Blöte , WenAn Guo , M. P. Nightingale

A model of two-species bosons moving on the sites of a lattice is studied at nonzero temperature, focusing on magnetic order and superfluid-insulator transitions. Firstly, Landau theory is used to find the general structure of the phase…

Statistical Mechanics · Physics 2009-05-10 Stephen Powell

We study the early time behavior of the Baxter-Wu model, an Ising model with three-spin interactions on a triangular lattice. Our estimates for the dynamic exponent $z$ are compatible with results recently obtained for two models which…

Statistical Mechanics · Physics 2009-11-07 Everaldo Arashiro , J. R. Drugowich de Felicio

We demonstrate the presence of an extended critical phase in the transverse field Ising magnet on the triangular lattice, in a regime where both thermal and quantum fluctuations are important. We map out a complete phase diagram by means of…

Statistical Mechanics · Physics 2007-05-23 S. V. Isakov , R. Moessner

In this work we investigate the order of the phase transition of the spin-1 Baxter-Wu model. We used extensive entropic simulations to describe the behavior of quantities which reveal the order of the phase transition. We applyied…

Statistical Mechanics · Physics 2018-08-22 L. N. Jorge , L. S. Ferreira , A. A. Caparica

We investigate aspects of universality in the two-dimensional (2D) spin-$1$ Baxter-Wu model in a crystal field $\Delta$ using a parallel version of the multicanonical algorithm employed at constant temperature $T$. A detailed finite-size…

Statistical Mechanics · Physics 2022-04-04 Nikolaos G. Fytas , Alexandros Vasilopoulos , Erol Vatansever , Anastasios Malakis , Martin Weigel

We study the triangular plaquette model (TPM, also known as the Newman-Moore model) in the presence of a transverse magnetic field on a lattice with periodic boundaries in both spatial dimensions. We consider specifically the approach to…

Statistical Mechanics · Physics 2025-07-31 Konstantinos Sfairopoulos , Luke Causer , Jamie F. Mair , Juan P. Garrahan

The interaction-driven Mott transition in the half-filled Hubbard model is a first-order phase transition that terminates at a critical point $(T_\mathrm{c},U_\mathrm{c})$ in the temperature-interaction plane $T-U$. A number of crossovers…

Strongly Correlated Electrons · Physics 2020-04-07 A. Reymbaut , M. Boulay , L. Fratino , P. Sémon , Wei Wu , G. Sordi , A. -M. S. Tremblay

In this paper, phase transitions in the Mitsui model without longitudinal field but with a transverse one are investigated in the mean field approximation. The one-to-one correspondence has been established between this model and the…

Statistical Mechanics · Physics 2011-06-28 Yu. I. Dublenych

We report on numerical simulations of the two-dimensional spin-$1$ Blume-Capel ferromagnet embedded in a triangular lattice. Utilizing a range of Monte Carlo and finite-size scaling techniques, we explore several critical aspects along the…

Statistical Mechanics · Physics 2025-02-28 Dimitrios Mataragkas , Alexandros Vasilopoulos , Nikolaos G. Fytas , Dong-Hee Kim

We study the second order finite temperature Mott transition point in the fully frustrated Hubbard model at half filling, within Dynamical Mean Field Theory. Using quantum Monte Carlo simulations we show the existence of a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Marcelo J. Rozenberg , R. Chitra , G. Kotliar

This article offers a detailed analysis of pseudo-phase transitions of Ising and Baxter-Wu models in two-dimensional finite-size lattices. We carry out Wang Landau sampling to obtain the density of states. Using microcanonical inflection…

Statistical Mechanics · Physics 2022-09-26 Wei Liu , Fangfang Wang , Pengwei Sun , Jincheng Wang

We apply a newly proposed Monte Carlo method, the Wang-Landau algorithm, to the study of the three-dimensional antiferromagnetic q-state Potts models on a simple cubic lattice. We systematically study the phase transition of the models with…

Statistical Mechanics · Physics 2009-11-07 Chiaki Yamaguchi , Yutaka Okabe
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