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Related papers: Wang-Landau study of the triangular Blume-Capel fe…

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We investigate the low-energy properties as well as quantum and thermal phase transitions of the Baxter-Wu model in a transverse magnetic field. Our study relies on stochastic series expansion quantum Monte Carlo and on series expansions…

Strongly Correlated Electrons · Physics 2014-07-09 Sylvain Capponi , Saeed S. Jahromi , Fabien Alet , Kai Phillip Schmidt

We describe the quantum phase transitions in the ferromagnetic Dicke-Ising model using a Landau theory approach. The theory quantitatively captures the change from a second- to a first-order transition between the normal and superradiant…

Strongly Correlated Electrons · Physics 2026-05-28 Jan Alexander Koziol

We revisit the nature of the quasi-one-dimensional Ising model on the basis of Wang-Landau simulation. We introduce the density of states in the two-dimensional energy space corresponding to the intra- and inter-chain directions. We then…

Statistical Mechanics · Physics 2015-05-13 Takayuki Tanabe , Kouichi Okunishi

The classical $J_1$-$J_2$-$J_3$ Ising model on the honeycomb lattice is important for understanding frustrated magnetic phenomena in materials such as FePS$_3$ and Ba$_2$CoTeO$_6$, where diverse phases (e.g., striped, zigzag, armchair) and…

Strongly Correlated Electrons · Physics 2025-12-30 Habib Ullah , Kun Li , Haoyu Lu , Youjin Deng , Wanzhou Zhang

We used mean-field theory based on the Bogoliubov inequality for the Gibbs free energy to examine the magnetic properties of a mixed spin-5/2 and spin-7/2 Blume-Capel ferrimagnetic system. The thermal behaviours of the system magnetization…

Statistical Mechanics · Physics 2019-10-03 M. Karimou , R. A. Yessoufou , G. Dimitri Ngantso , F. Hontinfinde , E. Albayrak

The temperature induced phase transition is investigated in the one-component scalar field \phi^4 model on a lattice by using Monte Carlo simulations. Using the GPGPU technology a huge amount of data is collected that gives a possibility to…

High Energy Physics - Lattice · Physics 2015-03-17 M. Bordag , V. Demchik , A. Gulov , V. Skalozub

We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in a crystal field using entropic sampling simulations with the joint density of states. We obtain the temperature-crystal field phase diagram, which…

Statistical Mechanics · Physics 2021-06-02 L. N. Jorge , P. H. L. Martins , C. J. DaSilva , L. S. Ferreira , A. A. Caparica

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

Statistical Mechanics · Physics 2016-08-16 Ana Fariñas-Sanchez , Ricardo Paredes , Bertrand Berche

In the paper the Curie temperatures of selectively diluted planar Ising ferromagnet on the triangular lattice are calculated vs. concentration of magnetic atoms. Various analytical approaches are compared with the exact numerical…

Statistical Mechanics · Physics 2013-04-25 T. Balcerzak , K. Szałowski , M. Žukovič , M. Borovský , A. Bobák , M. Jaščur

The 1/t Wang-Landau algorithm is analyzed from the viewpoint of execution time and accuracy when it is used in computations of the density of states of a two-dimensional Ising model. We find that the simulation results have a systematic…

Disordered Systems and Neural Networks · Physics 2024-12-03 Vladislav Egorov , Boris Kryzhanovsky

The spherical mean field approximation of a spin-1 model with p-body quenched disordered interaction is investigated. Depending on temperature and chemical potential the system is found in a paramagnetic or in a glassy phase and the…

Disordered Systems and Neural Networks · Physics 2012-03-06 Ulisse Ferrari , Luca Leuzzi

Systems of particles in a confining potential exhibit a spatially dependent density which fundamentally alters the nature of phase transitions that occur. A specific instance of this situation, which is being extensively explored currently,…

Statistical Mechanics · Physics 2013-05-29 S. M. Pittman , G. G. Batrouni , R. T. Scalettar

We study a one-dimensional two-component Fermi gas in a harmonic trapping potential using finite temperature lattice quantum Monte Carlo methods. We are able to compute observables in the canonical ensemble via an efficient projective…

Quantum Gases · Physics 2023-09-14 Felipe Attanasio , Marc Bauer , Renzo Kapust , Jan M. Pawlowski

We consider the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field evolving on a large but finite torus. We obtain sharp estimates for the transition time, we characterize the set of critical…

Probability · Mathematics 2016-06-29 C. Landim , P. Lemire

Quantum phase transitions in the Hubbard model on the honeycomb lattice are investigated in the variational cluster approximation. The critical interaction for the paramagnetic to antiferromagnetic phase transition is found to be in…

Strongly Correlated Electrons · Physics 2012-09-11 K. Seki , Y. Ohta

The suppression of antiferromagnetic ordering in geometrically frustrated Hubbard models leads to a variety of exotic quantum phases including quantum spin liquids and chiral states. Here, we focus on the Hubbard model on one of the…

Quantum Gases · Physics 2022-07-15 Davis Garwood , Jirayu Mongkolkiattichai , Liyu Liu , Jin Yang , Peter Schauss

We present a rigorous derivation for off-lattice implementations of the so-called "random-walk" algorithm recently introduced by Wang and Landau [PRL 86, 2050 (2001)]. Originally developed for discrete systems, the algorithm samples…

Statistical Mechanics · Physics 2009-11-07 M. S. Shell , P. G. Debenedetti , A. Z. Panagiotopoulos

We studied some magnetic behaviors of Blume-Capel (BC) model in a site diluted triangular lattice by means of the effective-field theory (EFT) with correlations. The effects of the exchange interaction (J), crystal field (D), concentration…

Statistical Mechanics · Physics 2014-10-20 E. Kantar , Y. Kocakaplan , M. Ertas

We discuss a framework relying on both perturbative and non-perturbative lattice computations which will be able to reliably determine the parameters of the EW phase transition. A motivation for the use of 3d effective theory in the lattice…

High Energy Physics - Lattice · Physics 2011-04-20 K. Farakos , K. Kajantie , K. Rummukainen , M. Shaposhnikov

The three-dimensional anisotropic classical XY ferromagnet has been investigated by extensive Monte Carlo simulation using the Metropolis single spin flip algorithm. The magnetization ($M$) and the susceptibility ($\chi$) are measured and…

Statistical Mechanics · Physics 2023-09-26 Olivia Mallick , Muktish Acharyya