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Related papers: Extended Scaling for Ferromagnets

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The finite lattice method of series expansion has been used to extend low-temperature series for the partition function, order parameter and susceptibility of the spin-1 Ising model on the square lattice. A new formalism is described that…

High Energy Physics - Lattice · Physics 2011-07-19 I. G. Enting , A , J. Guttmann , I. Jensen

We have generalized the application of cumulant expansion to ferrimagnetic systems of large spins. We have derived the effective Hamiltonian in terms of classical variables for a quantum ferrimagnet of large spins. A noninteracting gas of…

Strongly Correlated Electrons · Physics 2009-11-10 J. Abouie , A. Langari

Calculation of thermodynamic functions of the three-dimensional Ising ferromagnet above and below critical temperature is performed in the approximation of sixfold basis distribution ($\rho^6$ model). Comparison with the results for the…

Statistical Mechanics · Physics 2007-05-23 M. P. Kozlovskii , I. V. Pylyuk , V. V. Dukhovii

We formulate a new method of performing high-temperature series expansions for the spin-half Heisenberg model or, more generally, for SU($n$) Heisenberg model with arbitrary $n$. The new method is a novel extension of the well-established…

Statistical Mechanics · Physics 2007-05-23 Noboru Fukushima

Density functional theory (DFT)-based simulations of materials have first-principles accuracy, but are very computationally expensive. For simulating various properties of multi-component alloys, the cluster expansion (CE) technique has…

Materials Science · Physics 2026-04-01 Jacob Jeffries , Bochuan Sun , Enrique Martinez

We have studied the equilibrium and nonequilibrium behaviours of the Ising ferromagnetic thick cubic shell by Monte Carlo simulation. Our goal is to find the dependence of the responses on the thickness of the shell. In the equilibrium…

Statistical Mechanics · Physics 2025-12-04 Ishita Tikader , Muktish Acharyya

We introduce regular series expansion for weakly- and moderately-correlated fermionic systems, based on Fluctuating Local Field approach. The method relies on the explicit account of leading fluctuating mode(s) and is therefore suitable for…

Strongly Correlated Electrons · Physics 2024-12-25 Ya. S. Lyakhova , S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

The finite-size scaling method in the equilibrium Monte Carlo(MC) simulations and the finite-time scaling method in the nonequilibrium-relaxation simulations are compromised. MC time data of various physical quantities are scaled by the MC…

Statistical Mechanics · Physics 2010-08-02 Tota Nakamura

Ferromagnetism in one dimension is a novel observation which has been reported in a recent work (P. Gambardella et.al., Nature {\bf 416}, 301 (2002)), anisotropies are responsibles in that relevant effect. In the present work, another…

Statistical Mechanics · Physics 2009-11-11 S. Curilef , L. A. del Pino , P. A. Orellana

We performed two-dimensional simulated tempering (ST) simulations of the two-dimensional Ising model with different lattice sizes in order to investigate the two-dimensional ST's applicability to dealing with phase transitions and to study…

Statistical Mechanics · Physics 2015-06-05 Tetsuro Nagai , Yuko Okamoto

Angular-dependent magnetic torque measurements performed near the critical temperature on single crystals of HgBa_{2}CuO_{4+y}, La_{2-x}Sr{x}CuO_{4}, and YBa_{2}Cu_{3}O_{6.93} are scaled, following the 3D XY model, in order to determine the…

Superconductivity · Physics 2009-10-31 J. Hofer , T. Schneider , J. M. Singer , M. Willemin , H. Keller , T. Sasagawa , K. Kishio , K. Conder , J. Karpinski

Monte Carlo results for the moments <M^k> of the magnetization distribution of the nearest-neighbor Ising ferromagnet in a L^d geometry, where L (4 \leq L \leq 22) is the linear dimension of a hypercubic lattice with periodic boundary…

Statistical Mechanics · Physics 2014-06-11 Erik Luijten , Kurt Binder , Henk W. J. Blöte

As the ability to generate magnetic anisotropy in molecular materials continues to hit new milestones, concerted effort has shifted towards understanding, and potentially controlling, the mechanisms of magnetic relaxation across a large…

Chemical Physics · Physics 2019-07-16 Jeremy D. Hilgar , Aaron K. Butts , Jeffrey D. Rinehart

The hyperkagome-lattice $S=1/2$ Heisenberg ferromagnet is studied by means of the linear spin-wave theory, the double-time temperature Green's function method, high-temperature expansions series analysis, and quantum Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2025-08-26 Maksym Parymuda , Taras Krokhmalskii , Oleg Derzhko

Theoretical proposals of scaling laws for the differential elastic scattering cross sections of protons are confronted with experimental data over a wide energy range. Different combinations of the transferred momentum and energy resulting…

High Energy Physics - Phenomenology · Physics 2015-06-12 I. M. Dremin , V. A. Nechitailo

We study numerically the magnetic susceptibility of the hierarchical model with Ising spins ($\sigma =\pm 1$) above the critical temperature and for two values of the epsilon parameter. The integrations are performed exactly, using…

High Energy Physics - Lattice · Physics 2009-10-22 Y. Meurice , G. Ordaz , V. G. J. Rodgers

The kinetics and microstructure of solid-phase crystallization under continuous heating conditions and random distribution of nuclei are analyzed. An Arrhenius temperature dependence is assumed for both nucleation and growth rates. Under…

Materials Science · Physics 2017-04-26 J. Farjas , P. Roura

Computational studies of the thermodynamic properties of materials at the mesoscopic and macroscopic scales -- involving lengths and times of at least $\mu$m and $\mu$s, respectively -- rely on a coarse-graining approximation such that only…

Materials Science · Physics 2026-05-12 Mauro Pulzone , Iñigo Robredo-Magro , Jorge Íñiguez-González

We demonstrate the nontrivial scaling behavior of Ising models defined on (i) a donut-shaped surface and (ii) a curved surface with a constant negative curvature. By performing Monte Carlo simulations, we find that the former model has two…

Disordered Systems and Neural Networks · Physics 2009-11-11 Isaku Hasegawa , Yasunori Sakaniwa , Hiroyuki Shima

Magnetic and thermodynamical properties of itinerant-electron (metallic) ferromagnets described by the Hubbard model have been discussed with the use of the generalized Fermi-Dirac (GFD) distribution for nonextensive quantum systems. We…

Statistical Mechanics · Physics 2015-05-13 Hideo Hasegawa