Ising Antiferromagnet with Nearest-Neighbor and Next-Nearest-Neighbor Interactions on a Square Lattice

Akai K. Murtazaev; Magomedsheikh K. Ramazanov; Magomedzagir K. Badiev

doi:10.4028/www.scientific.net/SSP.215.17

Paper Titles

Phase Transitions in the Antiferromagnetic Heisenberg Model on a Triangular Lattice with the Next-Nearest Neighbor Interactions
p.3

Magnetic Response of Pr_1-xLaCe_xCuO₄ in Comparison with Hole-Doped Cuprates
p.11

Ising Antiferromagnet with Nearest-Neighbor and Next-Nearest-Neighbor Interactions on a Square Lattice
p.17

Fundamental Limitations of Half-Metallicity in Spintronic Materials
p.22

Electronic Structure and Magnetic Properties of Iron Doped TiO₂ (Rutile): XPS Measurements and CPA Calculations
p.28

Statistical and Multifractal Properties of Barkhausen Jumps in Exchange-Coupled Antiferromagnetic/Ferromagnetic Bilayers
p.35

Modulated Nanomagnetics
p.41

Electronic Structure of Nonstoichiometric LaMnO_3-x Calculated in the Coherent Potential Approximation
p.46

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Ising Antiferromagnet with Nearest-Neighbor and Next-Nearest-Neighbor Interactions on a Square Lattice

Abstract:

The critical properties of two-dimensional antiferromagnetic Ising model in square lattice are investigated using the replica Monte-Carlo method with account of interactions of second nearest neighbors. The diagram of critical temperature dependence on an interaction value of second nearest neighbors is plotted. Static critical exponents of the heat capacity α, susceptibility γ, magnetization β, and correlation radius ν are calculated for this model using the finite-size scaling theory.