Phase transitions of antiferromagnetic Ising spins on the zigzag surface of an asymmetrical Husimi lattice [PDF]
Royal Society Open Science, 2019 An asymmetrical two-dimensional Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice ...
Ran Huang, Purushottam D. Gujrati
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Nematic phase in the J(1)-J(2) square-lattice Ising model in an external field. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2015 The J(1)-J(2) Ising model in the square lattice in the presence of an external field is studied by two approaches: the cluster variation method (CVM) and Monte Carlo simulations.
Alejandra I. Guerrero +2 more
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Predicting long- and short-range order with restricted Boltzmann machine
AIP Advances, 2021 Generalization properties of the restricted Boltzmann machine (RBM) for two-dimensional Ising model are investigated. Both long-range and short-range order are examined: the first is studied for a spin lattice with ferromagnetic interaction, and the ...
M. A. Timirgazin, A. K. Arzhnikov
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The bulk, surface and corner free energies of the square lattice Ising model [PDF]
, 2016 We use Kaufman’s spinor method to calculate the bulk, surface and corner free energies f b , f s , f s ′ , f c of the anisotropic square lattice zero-field Ising model for the ordered ferromagnetic case.
R. Baxter
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Ising model as Wilson-Majorana fermions
Nuclear Physics B, 2020 We show the equivalence of the 2D Ising model to standard free Euclidean lattice fermions of the Wilson Majorana type. The equality of the loop representations for the partition functions of both systems is established exactly for finite lattices with ...
Ulli Wolff
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Experimental mathematics on the magnetic susceptibility of the square lattice Ising model [PDF]
, 2008 We calculate very long low- and high-temperature series for the susceptibility χ of the square lattice Ising model as well as very long series for the five-particle contribution χ(5) and six-particle contribution χ(6).
S. Boukraa +6 more
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High order Fuchsian equations for the square lattice Ising model: [PDF]
, 2009 We consider the Fuchsian linear differential equation obtained (modulo a prime) for , the five-particle contribution to the susceptibility of the square lattice Ising model.
Alin Bostan +6 more
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Simulating excitation spectra with projected entangled-pair states [PDF]
, 2018 We develop and benchmark a technique for simulating excitation spectra of generic two-dimensional quantum lattice systems using the framework of projected entangled-pair states (PEPS).
Haegeman, Jutho +2 more
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Phase diagram and critical behavior of the square-lattice Ising model with competing nearest-neighbor and next-nearest-neighbor interactions. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2009 Using the parallel tempering algorithm and graphics processing unit accelerated techniques, we have performed large-scale Monte Carlo simulations of the Ising model on a square lattice with antiferromagnetic (repulsive) nearest-neighbor and next-nearest ...
Junqi Yin, D. P. Landau
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Square lattice Ising model susceptibility: connection matrices and singular behaviour of χ (3) and χ (4) [PDF]
, 2005 We present a simple, but efficient, way to calculate connection matrices between sets of independent local solutions, defined at two neighbouring singular points, of Fuchsian differential equations of quite large orders, such as those found for the third
N. Zenine +3 more
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