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A class of Aubry-Andr\'e-Harper models of spin-orbit coupled electrons exhibits a topological phase diagram where two regions belonging to the same phase are split up by a multicritical point. The critical lines which meet at this point…

Strongly Correlated Electrons · Physics 2020-11-30 M. Malard , H. Johannesson , W. Chen

We apply a recently advocated simulation scheme that employs a local order-parameter pinning field to study quantum critical phenomena in the two-dimensional square-lattice bilayer quantum Heisenberg model. Using a world-line quantum Monte…

Statistical Mechanics · Physics 2017-01-12 Francesco Parisen Toldin , Fakher F. Assaad , Stefan Wessel

Monte Carlo simulations using Wang-Landau sampling are performed to study three-dimensional chains of homopolymers on a lattice. We confirm the accuracy of the method by calculating the thermodynamic properties of this system. Our results…

Statistical Mechanics · Physics 2016-08-16 A. G. Cunha Netto , C. J. Silva , A. A. Caparica , R. Dickman

We employ the microcanonical inflection-point analysis method, developed for the systematic identification and classification of phase transitions in systems of any size, to study the two-dimensional Ising model at various lattice sizes and…

Statistical Mechanics · Physics 2023-06-30 Kedkanok Sitarachu , Michael Bachmann

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

For a second-order phase transition the critical energy range of interest is larger than the energy range covered by a canonical Monte Carlo simulation at the critical temperature. Such an extended energy range can be covered by performing…

Statistical Mechanics · Physics 2008-11-26 Bernd A. Berg , Wolfhard Janke

A simple solid-on-solid model of adsorbate-induced faceting is studied by using a modified Wang-Landau method. The phase diagram for this system is constructed by computing the density of states in a special two-dimensional energy space. A…

Statistical Mechanics · Physics 2015-03-17 Czeslaw Oleksy

Here we report a precise computer simulation study of the static critical properties of the two-dimensional $q$-states Potts model using very accurate data obtained from a modified Wang-Landau (WL) scheme proposed by Caparica and…

Statistical Mechanics · Physics 2015-11-09 A. A. Caparica , Salviano A. Leão , Claudio J. DaSilva

In this work we investigate the behavior of the microcanonical and canonical averages of the two-dimensional Ising model during the Wang-Landau simulation. The simulations were carried out using conventional Wang-Landau sampling and the…

Statistical Mechanics · Physics 2015-11-09 Alvaro de Almeida Caparica , Antonio Gonçalves da Cunha Netto

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

Using high-precision Monte Carlo simulations and finite-size scaling we study the effect of quenched disorder in the exchange couplings on the Blume-Capel model on the square lattice. The first-order transition for large crystal-field…

Disordered Systems and Neural Networks · Physics 2018-04-18 N. G. Fytas , J. Zierenberg , P. E. Theodorakis , M. Weigel , W. Janke , A. Malakis

We report a fairly detailed finite-size scaling analysis of the first-order phase transition in the three-dimensional 3-state Potts model on cubic lattices with emphasis on recently introduced quantities whose infinite-volume extrapolations…

High Energy Physics - Lattice · Physics 2016-09-01 Wolfhard Janke , Ramon Villanova

When studied at finite temperature, Yang-Mills theories in $3+1$ dimensions display the presence of confinement/deconfinement phase transitions, which are known to be of first order -- the $SU(2)$ gauge theory being the exception.…

High Energy Physics - Lattice · Physics 2023-09-25 Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

The static critical exponents of the three dimensional Blume-Capel model which has a tricritical point at}$D/J=2.82${\small value are estimated for the standard and the cooling algorithms which improved from Creutz Cellular Automaton. The…

Statistical Mechanics · Physics 2016-08-16 A. Özkan , N. Seferoğlu , B. Kutlu

Critical end points and tricritical points are multicritical points that separate lines of continuous transitions from lines of first order transitions in the phase diagram of many systems. In models like the spin-1 disordered Blume-Capel…

Statistical Mechanics · Physics 2023-06-12 Soheli Mukherjee , Sumedha

We investigate the thermodynamic phase transition taking place in the Blume-Capel model in presence of quenched disorder in three dimensions (3D). In particular, performing Exchange Montecarlo simulations, we study the behavior of the order…

Disordered Systems and Neural Networks · Physics 2015-05-19 Matteo Paoluzzi , Luca Leuzzi , Andrea Crisanti

The three-dimensional bimodal random-field Ising model is studied via a new finite temperature numerical approach. The methods of Wang-Landau sampling and broad histogram are implemented in a unified algorithm by using the N-fold version of…

Statistical Mechanics · Physics 2008-02-01 Nikolaos G. Fytas , Anastasios Malakis

The one-parametric Wang-Landau (WL) method is implemented together with an extrapolation scheme to yield approximations of the two-dimensional (exchange-energy, field-energy) density of states (DOS) of the 3D bimodal random-field Ising…

Statistical Mechanics · Physics 2009-11-13 N. G. Fytas , A. Malakis

The self-dual random-bond eight-state Potts model is studied numerically through large-scale Monte Carlo simulations using the Swendsen-Wang cluster flipping algorithm. We compute bulk and surface order parameters and susceptibilities and…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Bertrand Berche

The spin-1 ferromagnetic Blume-Capel film with an alternating crystal field $\Delta=\Delta_1$ on the odd layers and $\Delta=\Delta_2$ on the even ones is considered in the mean field approximation. The ground state phase diagrams in the…

Condensed Matter · Physics 2009-11-10 Hamid Ez-Zahraouy , Ahmed Kassou-Ou-Ali