scholarly journals Optimized two-dimensional networks with edge-crossing cost: Frustrated antiferromagnetic spin system

2021 ◽  
Vol 104 (5) ◽  
Author(s):  
An-Liang Cheng ◽  
Pik-Yin Lai
2008 ◽  
Vol 795 (3) ◽  
pp. 578-595
Author(s):  
T. Enss ◽  
S. Caprara ◽  
C. Castellani ◽  
C. Di Castro ◽  
M. Grilli

2003 ◽  
Vol 14 (10) ◽  
pp. 1305-1320 ◽  
Author(s):  
BÜLENT KUTLU

The two-dimensional antiferromagnetic spin-1 Ising model with positive biquadratic interaction is simulated on a cellular automaton which based on the Creutz cellular automaton for square lattice. Phase diagrams characterizing phase transition of the model are presented for a comparison with those obtained from other calculations. We confirm the existence of the intermediate phase observed in previous works for some values of J/K and D/K. The values of the static critical exponents (β, γ and ν) are estimated within the framework of the finite-size scaling theory for D/K<2J/K. Although the results are compatible with the universal Ising critical behavior in the region of D/K<2J/K-4, the model does not exhibit any universal behavior in the interval 2J/K-4<D/K<2J/K.


1986 ◽  
Vol 57 (23) ◽  
pp. 2943-2946 ◽  
Author(s):  
L. J. Friedman ◽  
S. N. Ytterboe ◽  
H. M. Bozler ◽  
A. L. Thomson ◽  
M. C. Cross

2020 ◽  
Vol 89 (11) ◽  
pp. 114603
Author(s):  
Eiki Komatsu ◽  
Takayuki Kawamata ◽  
Masatsune Kato ◽  
Takahiko Sasaki ◽  
Yoji Koike

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