Frustrations and Phase Transitions in Ising Model on 2D Lattices

Felix A. Kassan-Ogly; B.N. Filippov; V.V. Men’shenin; Akai K. Murtazaev; M.K. Ramazanov; M.K. Badiev

doi:10.4028/www.scientific.net/SSP.168-169.435

Paper Titles

Dynamic Magnetoelastic Effects in the Fe₈₀Si₁₀B₁₀ Amorphous Ribbons Associated with Surface Crystallization
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New Look at Substructure Formation during Recrystallization of Soft Magnetic Materials
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Microstructure and Magnetic Hysteresis in Nanocrystalline Nd-Fe-Co-B Alloys on the Base of Nd₂Fe₁₄B Phase
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Frustrations and Phase Transitions in Low-Dimensional Magnetic Systems
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Frustrations and Phase Transitions in Ising Model on 2D Lattices
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The Effect of Hydrostatic Pressure on Crystal and Orbital Structures of LaMnO₃ and LaMn_0.5Ga_0.5O₃
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Microscopic Mechanisms of Magnetoelectric Coupling in 3d Oxides
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Application of 3s X-Ray Photoelectron Spectra for Determination of Charge States and Magnetic Moments of 3d Ions in Oxides
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Inhomogeneous Magnetic State above the Curie Temperature of the Doped Cobaltite La_1-XSr_xCoO₃
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Frustrations and Phase Transitions in Ising Model on 2D Lattices

Abstract:

The problem of frustrations and phase transition appearance or suppression is studied on the base of exact analytical solutions for maximum eigenvalue of Kramers-Wannier transfer matrix in the Ising model on a square lattice [1], a triangular and honeycomb lattices [2], and kagome lattice [3] with allowance for the interactions between nearest J is studied. We also studied these phenomena by the numerical “replica Monte Carlo method”, taking also into account the interactions between next-nearest neighbors J'.