The square lattice Ising model on the rectangle I: finite systems [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 The partition function of the square lattice Ising model on the rectangle with open boundary conditions in both directions is calculated exactly for arbitrary system size L×M and temperature.
A. Hucht
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Finite-size scaling in the transverse Ising model on a square lattice [PDF]
Journal of Physics A: Mathematical and General, 2000 Energy eigenvalues and order parameters are calculated by exact diagonalization for the transverse Ising model on square lattices of up to 6x6 sites. Finite-size scaling is used to estimate the critical parameters of the model, confirming universality with the three-dimensional classical Ising model.
C. J. Hamer
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Exact amplitude ratio and finite-size corrections for the
Physical review. E, Statistical, nonlinear, and soft matter physics, 2002 Let f, U, and C represent, respectively, the free energy, the internal energy, and the specific heat of the critical Ising model on the MxN square lattice with periodic boundary conditions, and f(infinity) represents f for fixed M/N and N-->infinity.
N. Sh. Izmailian, Chin‐Kun Hu
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High-order Fuchsian equations for the square lattice Ising model: χ(6) [PDF]
, 2010 This paper deals with , the six-particle contribution to the magnetic susceptibility of the square lattice Ising model. We have generated, modulo a prime, series coefficients for .
S. Boukraa +4 more
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Two dimensional XXZ-Ising model on square-hexagon lattice [PDF]
, 2008 We study a two dimensional XXZ-Ising on square-hexagon (4-6) lattice with spin-1/2. The phase diagram of the ground state energy is discussed, shown two different ferrimagnetic states and two type of antiferromagnetic states, beside of a ferromagnetic ...
J. S. Valverde +5 more
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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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The bulk, surface and corner free energies of the square lattice Ising model [PDF]
Journal of Physics A: Mathematical and Theoretical, 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 IN CORRELATED RANDOM FIELDS ON THE SQUARE LATTICE [PDF]
Le Journal de Physique Colloques, 1988 We investigate the Ising model on the square lattice with correlated random fields which take the values ±h0 and 0. The random fields are assumed to vary from row to row but not from column to column. In the limit [MATH] ? 0, the system shows the phase transition, where [MATH] is the uniform external field with [MATH] ? h0.
T. Horiguchi, L.L. Gonçalves
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Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 We study the class of non-holonomic power series with integer coefficients that reduce, modulo primes, or powers of primes, to algebraic functions. In particular we try to determine whether the susceptibility of the square-lattice Ising model belongs to ...
A. Guttmann +3 more
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Scaling behavior of a square-lattice Ising model with competing interactions in a uniform field [PDF]
, 2011 Transfer-matrix methods, with the help of finite-size scaling and conformal invariance concepts, are used to investigate the critical behavior of two-dimensional square-lattice Ising spin-1/2 systems with first- and second-neighbor interactions, both ...
S. L. A. de Queiroz
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