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A new approximating technique is developed so as to study the quantum ferromagnetic spin-1 Blume-Capel model in the presence of a transverse crystal field in the square lattice. Our proposal consists of approaching the spin system by…

Critical properties of lattice gases with nearest-neighbor exclusion are investigated via the adaptive-window Wang-Landau algorithm on the square and simple cubic lattices, for which the model is known to exhibit an Ising-like phase…

统计力学 · 物理学 2015-05-19 A. G. Cunha-Netto , Ronald Dickman

The critical behavior of the semi-infinite Blume-Capel and Blume-Emery-Griffiths models is investigated in the pair approximation of the Cluster Variation Method. Equations for bulk and surface order parameters and n.n. correlation…

凝聚态物理 · 物理学 2009-10-22 Carla Buzano , Alessandro Pelizzola

The phase diagram of the Blume--Capel model on a semi--infinite simple cubic lattice with a (100) free surface is studied in the pair approximation of the cluster variation method. Six main topologies are found, of which two are new, due to…

凝聚态物理 · 物理学 2015-06-25 Carla Buzano , Alessandro Pelizzola

Two numerical strategies based on the Wang-Landau and Lee entropic sampling schemes are implemented to investigate the first-order transition features of the 3D bimodal ($\pm h$) random-field Ising model at the strong disorder regime. We…

统计力学 · 物理学 2008-03-31 N. G. Fytas , A. Malakis , K. Eftaxias

We study the critical behavior of the 3-state Potts model, where the spins are located at the centers of the occupied squares of the deterministic Sierpinski carpet. A finite-size scaling analysis is performed from Monte Carlo simulations,…

统计力学 · 物理学 2009-11-10 Pai-Yi Hsiao , Pascal Monceau

We consider the Blume--Capel model in the scaling limit to realize the thermal perturbation of the tricritical Ising fixed point. We develop a numerical scaling limit extrapolation for one-point functions and R\'enyi entropies in the ground…

统计力学 · 物理学 2026-02-04 Csilla Király , Máté Lencsés

The fluctuations of massless Dirac fermion can not only turn a first-order bosonic phase transition (in the Landau sense) to a quantum critical point, but also work reversely to enhance the first-order transition itself, depending on the…

强关联电子 · 物理学 2021-03-03 Yuzhi Liu , Zi Yang Meng , Shuai Yin

The phase diagram of the massive chiral Gross-Neveu model (the 1+1-dimensional Nambu-Jona-Lasinio model at large N) is investigated in the vicinity of the tricritical point. Using the derivative expansion, the grand canonical potential is…

高能物理 - 理论 · 物理学 2008-11-26 Christian Boehmer , Michael Thies , Konrad Urlichs

The three-dimensional bimodal random-field Ising model is investigated using the N-fold version of the Wang-Landau algorithm. The essential energy subspaces are determined by the recently developed critical minimum energy subspace…

统计力学 · 物理学 2009-11-13 A. Malakis , N. G. Fytas

We explore the phase space spanned by the temperature and the chemical potential for 4-flavor lattice QCD using the Wilson-clover quark action. In order to determine the order of the phase transition, we apply finite size scaling analyses…

高能物理 - 格点 · 物理学 2013-11-27 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

We study the Blume-Capel model on the square lattice. To allow for wetting and interfacial adsorption, the spins on opposite boundaries are fixed in two different states, "+1" and "-1", with reduced couplings at one of the boundaries. Using…

统计力学 · 物理学 2013-09-02 N. G. Fytas , W. Selke

In this work, we investigate the thermodynamic properties of the quantum Blume-Capel model with spin \( S = 5/2 \) in the presence of transverse and random crystalline fields. The system is described by a Hamiltonian that includes…

A generalized approach to Wang-Landau simulations, macroscopically constrained Wang-Landau, is proposed to simulate the density of states of a system with multiple macroscopic order parameters. The method breaks a multidimensional…

统计力学 · 物理学 2017-05-11 Chor-Hoi Chan , Gregory Brown , Per Arne Rikvold

First order quantum phase transitions (1QPTs) are signaled, in the thermodynamic limit, by discontinuous changes in the ground state properties. These discontinuities affect expectation values of observables, including spatial correlations.…

量子物理 · 物理学 2018-07-12 A. Yuste , C. Cartwright , G. De Chiara , A. Sanpera

The multicritical behavior of the Blume-Capel model with infinite-range interactions is investigated by introducing quenched disorder in the crystal field $\Delta_{i}$, which is represented by a superposition of two Gaussian distributions…

统计力学 · 物理学 2010-03-09 Octavio D. Rodriguez Salmon , Justo Rojas Tapia

We review the pertinent features of the phase diagram of the zero-field Blume-Capel model, focusing on the aspects of transition order, finite-size scaling and universality. In particular, we employ a range of Monte Carlo simulation methods…

统计力学 · 物理学 2017-04-06 J. Zierenberg , N. G. Fytas , M. Weigel , W. Janke , A. Malakis

Using extensive Monte Carlo simulations, we study the interface localization- delocalization transition of a thin Ising film with antisymmetric competing walls for a set of parameters where the transition is strongly first-order. This is…

统计力学 · 物理学 2009-11-10 B. J. Schulz , K. Binder , M. M"uller

We use Grassmann algebra to study the phase transition in the two-dimensional ferromagnetic Blume-Capel model from a fermionic point of view. This model presents a phase diagram with a second order critical line which becomes first order…

统计力学 · 物理学 2009-11-13 Maxime Clusel , Jean-Yves Fortin , Vladimir N. Plechko

The phase diagram and critical behavior of the spin-1 Baxter-Wu model with a crystal field in two dimensions is explored by renormalization group, conventional finite-size scaling and conformal invariance techniques. We found that the phase…

统计力学 · 物理学 2009-11-10 M. L. M. Costa , J. C. Xavier , J. A. Plascak