Results 231 to 240 of about 24,480 (244)
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Square lattice variational approximations applied to the Ising model
Journal of Statistical Physics, 1979The variational method developed by Baxter is applied to the zero-field Ising model on the square lattice. The problem is simplified to that of solving a relatively small system of nonlinear equations. The estimates to the spontaneous magnetization and the critical temperature from the sequence of variational approximations are obtained.
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Ising Model with Even-Bonds Plaquettes on the Square Lattice
Journal of the Physical Society of Japan, 1989We propose an exactly soluble Ising model with two kinds of exchange integrals on a square lattice. We assume that the number of bonds on which the exchange integrals take a value is even around each elementary plaquette; we name such a plaquette an even-bonds plaquette. We find two phase transition temperatures in the Ising model.
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Phase diagram of the Ising model on the square lattice with crossed diagonal bonds
Physical Review B, 1993The global phase diagram of the spin-1/2 Ising model with nearest- and next-nearest-neighbor interactions on the square lattice is considered, including the fully anisotropic cases. A closed-form expression is given that accurately represents the phase boundaries when the crossed next-nearest-neighbor interactions are not of opposite signs.
A. N. Berker, Kenneth Hui
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, 1987
The authors have derived a low-temperature expansion appropriate to the 'superantiferromagnetic' or (2*1) ordered phase of the Ising model with first- and second-neighbour interactions on a square lattice. The critical exponent beta shows a non-universal
J. Oitmaa, M. Velgakis
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The authors have derived a low-temperature expansion appropriate to the 'superantiferromagnetic' or (2*1) ordered phase of the Ising model with first- and second-neighbour interactions on a square lattice. The critical exponent beta shows a non-universal
J. Oitmaa, M. Velgakis
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Critical Properties of a Spin-3/2 Ising Model on a Square Lattice
Journal of the Physical Society of Japan, 1997Summary: We investigate a spin-3/2 Ising model on a square lattice by using Monte Carlo (MC) simulations and a density matrix renormalization group (DMRG) method. We obtain phase diagrams of the ground state. We carried out the MC simulations in order to calculate the critical temperature and the critical exponent \(\eta\).
Tsuyoshi Horiguchi+2 more
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The square lattice Ising model with frustrated nearest-neighbour interaction
Physica B: Condensed Matter, 1998Abstract Using mean-field approximation (MFA), Lipowski–Suzuki method (LS) and Finite-size scaling based on transfer matrix calculations (TMFSS), we investigated the phase diagram of a two-dimentional spin 1/2 Ising model with a frustrated nearest-neighbour interaction.
M. Badehdah+2 more
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Exact differential renormalization group equations for Ising models on square lattices
Physica A: Statistical Mechanics and its Applications, 1982The differential real space renormalization theory of Hilhorst et al. is applied to Ising models on square lattices with nearest-neighbour interactions only. The renormalization flow equations for these two interaction parameters contain two auxiliary parameters; these parameters have to be determined by solving two additional equations, one partial ...
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Series expansions from corner transfer matrices: The square lattice Ising model
, 1979R. Baxter, I. Enting
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Approximate critical surface of the bond-mixed square-lattice Ising model
, 1980S. Levy, C. Tsallis, E. Curado
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Interface tension of the square lattice Ising model with next-nearest-neighbour interactions
, 2007A. Nussbaumer, E. Bittner, W. Janke
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