Phase transitions in the frustrated Ising model on the square lattice
Physical Review B, 2013 13 pages, 13 ...
Wenan Guo +3 more
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NEW ALGORITHM FOR THE COMPUTATION OF THE PARTITION FUNCTION FOR THE ISING MODEL ON A SQUARE LATTICE [PDF]
International Journal of Modern Physics C, 2003 A new and efficient algorithm is presented for the calculation of the partition function in the S=±1 Ising model. As an example, we use the algorithm to obtain the thermal-dependence of the magnetic spin susceptibility of an Ising antiferromagnet for a 8×8 square lattice with open boundary conditions.
Krzysztof Malarz +4 more
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Low-temperature series expansions for the square lattice Ising model with spin [PDF]
Journal of Physics A: Mathematical and General, 1996 We derive low-temperature series (in the variable $u = \exp[- J/S^2]$) for the spontaneous magnetisation, susceptibility and specific heat of the spin-$S$ Ising model on the square lattice for $S=\frac32$, 2, $\frac52$, and 3. We determine the location of the physical critical point and non-physical singularities.
Iwan Jensen, A J Guttmann, I. G. Enting
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The Fuchsian differential equation of the square lattice Ising model (3)susceptibility [PDF]
Journal of Physics A: Mathematical and General, 2004 15 pages, no figures, submitted to J.
N Zenine +3 more
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Square lattice Ising model susceptibility: Series expansion method and differential equation for $\\chi^{(3)}$ [PDF]
, 2005 In a previous paper (J. Phys. A {\bf 37} (2004) 9651-9668) we have given the Fuchsian linear differential equation satisfied by $\chi^{(3)}$, the ``three-particle'' contribution to the susceptibility of the isotropic square lattice Ising model.
N Zenine +3 more
core +6 more sources
Ising model on a square lattice with second-neighbor and third-neighbor interactions [PDF]
Journal of Magnetism and Magnetic Materials, 2015 We studied the phase transitions and magnetic properties of the Ising model on a square lattice by the replica Monte Carlo method and by the method of transfer-matrix, the maximum eigenvalue of which was found by Lanczos method. The competing exchange interactions between nearest neighbors $J_{1}$, second $J_{2}$, third neighbors $J_{3}$ and an ...
F. A. Kassan‐Ogly +4 more
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Machine Learning the Square-Lattice Ising Model [PDF]
Journal of Physics: Conference Series, 2022 Abstract Recently, machine-learning methods have been shown to be successful in identifying and classifying different phases of the square-lattice Ising model. We study the performance and limits of classification and regression models. In particular, we investigate how accurately the correlation length, energy and magnetisation can be ...
Çivitcioğlu, Burak +2 more
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Multirange Ising model on the square lattice [PDF]
Physical Review E, 2020 9 pages and 5 ...
Charles S. do Amaral +3 more
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Critical behavior of the classical spin-1 Ising model for magnetic systems
AIP Advances, 2022 In this work, the critical properties of the classical spin-1 Ising Hamiltonian applied to magnetic systems characterized by the first-neighbors biquadratic exchange, the anisotropy and the external magnetic field contributions are theoretically ...
R. Zivieri
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Dynamical Process of a Bit-Width Reduced Ising Model With Simulated Annealing
IEEE Access, 2023 Ising machines have attracted attention as efficient solvers for combinatorial optimization problems, which are formulated as ground-state (lowest-energy) search problems of the Ising model. Due to the limited bit-width of coefficients on Ising machines,
Shuta Kikuchi, Nozomu Togawa, Shu Tanaka
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