The Susceptibility of the Square Lattice Ising Model: New Developments [PDF]
Journal of Statistical Physics, 2001 We have made substantial advances in elucidating the properties of the susceptibility of the square lattice Ising model. We discuss its analyticity properties, certain closed form expressions for subsets of the coefficients, and give an algorithm of ...
W. Orrick +3 more
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Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? [PDF]
, 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 J Guttmann +3 more
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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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Strong- and Weak-Universal Critical Behaviour of a Mixed-Spin Ising Model with Triplet Interactions on the Union Jack (Centered Square) Lattice [PDF]
Entropy, 2018 The mixed spin-1/2 and spin-S Ising model on the Union Jack (centered square) lattice with four different three-spin (triplet) interactions and the uniaxial single-ion anisotropy is exactly solved by establishing a rigorous mapping equivalence with the ...
Jozef Strečka
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A spin-3/2 Ising model on a square lattice [PDF]
Journal of Experimental and Theoretical Physics Letters, 1996 The spin - 3/2 Ising model on a square lattice is investigated. It is shown that this model is reducible to an eight - vertex model on a surface in the parameter space spanned by coupling constants J, K, L and M. It is shown that this model is equivalent to an exactly solvable free fermion model along two lines in the parameter space.
N. Sh. Izmailian
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Low-temperature series expansions for the square lattice Ising model with spin [PDF]
, 1996 We derive low-temperature series (in the variable ) for the spontaneous magnetization, susceptibility, and specific heat of the spin-S Ising model on the square lattice for , 2, , and 3.
Iwan Jensen, A J Guttmann, I. G. Enting
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The square lattice Ising model with quenched surface disorder [PDF]
18 pages, 4 ...
Luca Cervellera +3 more
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The Fuchsian differential equation of the square lattice Ising model χ (3) susceptibility [PDF]
Journal of Physics A: Mathematical and General, 2004 Using an expansion method in the variables xi that appear in (n ? 1)-dimensional integrals representing the n-particle contribution to the Ising square lattice model susceptibility ?, we generate a long series of coefficients for the three-particle ...
N. Zenine +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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Tensor network simulation for the frustrated
Physical Review E, 2021 By using extensive tensor network calculations, we map out the phase diagram of the frustrated J_{1}-J_{2} Ising model on the square lattice. In particular, we focus on the cases with controversy in the phase diagram, especially the stripe transition in ...
Hong Li, Li-Ping Yang
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