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Related papers: Transfer-matrix approach to the Blume-Capel model …

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The equilibrium ensemble approach to disordered systems is used to investigate the critical behaviour of the two dimensional Ising model in presence of quenched random site dilution. The numerical transfer matrix technique in semi- infinite…

Statistical Mechanics · Physics 2009-10-31 Giorgio Mazzeo , Reimer Kuehn

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

This is the second in a series of three articles about recovering the full algebraic structure of a boundary conformal field theory (CFT) from the scaling limit of the critical Ising model in slit-strip geometry. Here we study the fusion…

Mathematical Physics · Physics 2021-08-12 Taha Ameen , Kalle Kytölä , S. C. Park

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…

Condensed Matter · Physics 2009-10-22 Carla Buzano , Alessandro Pelizzola

The exact perturbation approach is used to derive the (seven) elementary correlation lengths and related mass gaps of the two-dimensional dilute A$_4$ lattice model in regime 2- from the Bethe ansatz solution. This model provides a…

Mathematical Physics · Physics 2015-06-26 K. A. Seaton , M. T. Batchelor

We study in this paper the Blume-Emery-Griffiths model in a thin film of stacked triangular lattices.The model is described by three parameters: bilinear exchange interaction between spins $J$, quadratic exchange interaction $K$ and…

Statistical Mechanics · Physics 2016-04-20 Sahbi El Hog , H. T. Diep

A conjecture is given for the exact location of the multicritical point in the phase diagram of the +/- J Ising model on the triangular lattice. The result p_c=0.8358058 agrees well with a recent numerical estimate. From this value, it is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hidetoshi Nishimori , Masayuki Ohzeki

We study the transverse-field Ising model on a square lattice with bond- and site-dilution at zero temperature by stochastic series expansion quantum Monte Carlo simulations. Tuning the transverse field $h$ and the dilution $p$, the quantum…

Strongly Correlated Electrons · Physics 2025-05-13 C. Krämer , M. Hörmann , K. P. Schmidt

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

We have performed multicanonical simulations to study the critical behavior of the two-dimensional Ising model with dipole interactions. This study concerns the thermodynamic phase transitions in the range of the interaction \delta where…

Statistical Mechanics · Physics 2012-07-18 Jacyana S. M. Fonseca , Leandro G. Rizzi , Nelson A. Alves

We consider the one-dimensional massive Thirring model formulated on the lattice with staggered fermions and an auxiliary compact vector (link) field, which is exactly solvable and shows a phase transition with increasing the chemical…

High Energy Physics - Lattice · Physics 2016-10-10 Hirotsugu Fujii , Syo Kamata , Yoshio Kikukawa

Using a cluster-flipping Monte Carlo algorithm combined with a generalization of the histogram reweighting scheme of Ferrenberg and Swendsen, we have studied the equilibrium properties of the thermal random-field Ising model on a cubic…

Condensed Matter · Physics 2009-10-28 M. E. J. Newman , G. T. Barkema

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

Computer simulations are used to study a three-dimensional polydisperse model glassformer in a replica-coupling setup where an attractive field $\propto - \varepsilon Q$ of strength $\varepsilon$ can adjust the similarity of the system to a…

Soft Condensed Matter · Physics 2024-02-07 Niklas Küchler , Jürgen Horbach

Motivated by recent experiments with a Penning ion trap quantum simulator, we perform numerically exact Stochastic Series Expansion quantum Monte Carlo simulations of long-range transverse-field Ising models on a triangular lattice for…

Statistical Mechanics · Physics 2016-03-15 Stephan Humeniuk

We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three…

Disordered Systems and Neural Networks · Physics 2008-03-12 Ferenc Iglói , Yu-Cheng Lin , Heiko Rieger , Cécile Monthus

Motivated by the current interest in the quantum dimer model on the triangular lattice, we investigate the phase diagram of the closely related fully-frustrated transverse field Ising model on the honeycomb lattice using classical and…

Strongly Correlated Electrons · Physics 2015-05-19 T. Coletta , J. -D. Picon , S. E. Korshunov , F. Mila

The spin-1 quantum Ising systems with three-spin interactions on two-dimensional triangular lattices are studied by mean-field method. The thermal variations of order parameters and phase diagrams are investigated in detail. The stable,…

Statistical Mechanics · Physics 2020-01-01 Hui Jiang , Xiang-Mu Kong

The dynamical responses of Blume-Capel (S=1) ferromagnet to the plane propagating (with fixed frequency and wavelength) and standing magnetic field waves are studied sepa- rately in two dimensions by extensive Monte Carlo simulation.…

Statistical Mechanics · Physics 2016-11-23 Muktish Acharyya , Ajay Halder

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

Statistical Mechanics · Physics 2016-02-10 Robert L. Jack , Juan P. Garrahan