Ferromagnetic Curie Temperatures of the Heisenberg Model with Next-Nearest-Neighbor Interactions

1967 ◽  
Vol 159 (2) ◽  
pp. 384-387 ◽  
Author(s):  
D. W. Wood ◽  
N. W. Dalton
Keyword(s):  
Heisenberg Model ◽  
Nearest Neighbor ◽  
Curie Temperatures

scholarly journals Interplay between spatial anisotropy and next-nearest-neighbor exchange interactions in the triangular Heisenberg model

2020 ◽  
Vol 102 (22) ◽  
Author(s):  
M. G. Gonzalez ◽  
E. A. Ghioldi ◽  
C. J. Gazza ◽  
L. O. Manuel ◽  
A. E. Trumper
Keyword(s):  
Heisenberg Model ◽  
Nearest Neighbor ◽  
Exchange Interactions ◽  
Spatial Anisotropy

INSIGNIFICANT NEXT NEAREST NEIGHBOR EFFECT IN Ni(II)-[2×2] GRID

2006 ◽  
Vol 20 (16) ◽  
pp. 971-979 ◽  
Author(s):  
ALI BAYRI
Keyword(s):  
Experimental Data ◽  
Energy Spectrum ◽  
Heisenberg Model ◽  
Nearest Neighbor ◽  
Magnetic Moments ◽  
Nearest Neighbors ◽  
Field Energy ◽  
Zero Field ◽  
Heisenberg Exchange ◽  
Neighbor Effect

The Next Nearest Neighbor (NNN) effect in Ni 2+-[2×2] using the isotropic Heisenberg model has been investigated in this article. Although the NNN effect is commonly very weak in this kind of grid, it was calculated that its response is quite big to the outsider perturbations in certain regions. Two different antiferromagnetic arrangements of spins interacting via the Heisenberg exchange type in a square were discussed in terms of their stability regions. Using the isotropic Heisenberg exchange Hamiltonian, the zero field energy spectrum has been calculated for this particular Ni 2+-[2×2] grid geometry. The average magnetic moments with and without the next nearest neighbors interactions were also calculated. In order to verify the calculations, the results were compared with experimental data which had been published in literature.

Phase Transition in Frustrated Heisenberg Antiferromagnet on a Triangular Lattice with Next-Nearest Neighbor Interactions

2012 ◽  
Vol 190 ◽  
pp. 417-420
Author(s):  
A.K. Murtazaev ◽  
M.K. Ramazanov ◽  
M.K. Badiev
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Heisenberg Model ◽  
Nearest Neighbor ◽  
Three Dimensional ◽  
Finite Size ◽  
Replica Exchange ◽  
Heisenberg Antiferromagnet ◽  
Finite Size Scaling ◽  
The Monte Carlo Method

We study the critical behavior of three-dimensional antiferromagnet Heisenberg model with nearest-neighbor (J) and next-nearest-neighbor (J1) interactions by the Monte Carlo method using a high-effective replica exchange algorithm. Here is calculated a full set of main static critical exponents for values R =J1/J= 0.0; 0.025; 0.05; 0.075; 0.1; 0.115 using the finite-size scaling theory. A phase diagram of dependency of the critical temperature on a relation between nearest-neighbor and next-nearest-neighbor R is plotted.

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