Correspondence between spanning trees and the Ising model on a square lattice [PDF]
Physical Review E, 2017 Subm. to Phys.
G. M. Viswanathan
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Strong-Disorder Paramagnetic-Ferromagnetic Fixed Point in the Square-Lattice ±J Ising Model [PDF]
Journal of Statistical Physics, 2009 32 pages, added refs and a discussion on ...
Francesco Parisen Toldin +2 more
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Ising-like transitions in the
Physical review. E, Statistical, nonlinear, and soft matter physics, 2013 We explore the phase diagram of the O($n$) loop model on the square lattice in the $(x,n)$ plane, where $x$ is the weight of a lattice edge covered by a loop. These results are based on transfer-matrix calculations and finite-size scaling. We express the correlation length associated with the staggered loop density in the transfer-matrix eigenvalues ...
Zhe Fu, Wenan Guo, Henk W. J. Blöte
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A Monte Carlo Study of Dynamic Phase Transitions Observed in the Kinetic S = 1 Ising Model on Nonregular Lattices [PDF]
EntropyIn the present paper, we discuss the thermodynamic and dynamic phase transition properties of the kinetic Blume–Capel model with spin-1, defined on non-regular lattices, namely decorated simple cubic, decorated triangular, and decorated square (Lieb ...
Yusuf Yüksel
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Dynamical phase diagram of the quantum Ising model with cluster interaction under noiseless and noisy driven field [PDF]
Scientific ReportsIn most lattice models, gap closing typically occurs at high-symmetry points in the Brillouin zone. In the transverse field Ising model with cluster interaction, the gap closes at high-symmetry points, as well as at the phase transition between ...
S. Kheiri +4 more
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Magnetic behaviour of a mixed-spin ising model on a two-dimensional square-octagon lattice in a dynamic magnetic field [PDF]
Physica ScriptaThe magnetic behaviours of a two-dimensional square-octagon lattice with mixed spin 5/2 and spin 1 magnetic atoms are investigated in a dynamic magnetic field using effective field theory with correlations.
Xuejiao Wang, Wei Jiang
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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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Quantum Ising model on the frustrated square lattice [PDF]
Physical Review E, 2019 We investigate the role of a transverse field on the Ising square antiferromagnet with first-($J_1$) and second-($J_2$) neighbor interactions. Using a cluster mean-field approach, we provide a telltale characterization of the frustration effects on the phase boundaries and entropy accumulation process emerging from the interplay between quantum and ...
Kellermann, N. +2 more
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