Geodesic
Frustration, Degeneracy and Forms
Some exchange kinetics are introduced into the antiferromagnetic Ising model on a triangular lattice. These connect the degenerate ground-states and give rise to a set of random walks over the resulting irregular network in the phase space. Some theoretical analysis of the elementary processes is presented together with the results of a related Monte Carlo experiment. Some features of the system are found suggestive of a liquid-glass transition, although we have not yet conclusively demonstrated the existence of such a transition in this system. An approximate ground-state energy is also evaluated for the antiferromagnetic Heisenberg model on a triangular lattice.
Classification : 28A80 
@article{VM_2000_2_1_a1,
     author = {Tohru Ogawa and Yukihisa Nakajima},
     title = {Frustration, {Degeneracy} and {Forms}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {2},
     number = {1},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2000_2_1_a1/}
}
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%A Yukihisa Nakajima
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%J Visual Mathematics
%D 2000
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Tohru Ogawa; Yukihisa Nakajima. Frustration, Degeneracy and Forms. Visual Mathematics, Tome 2 (2000) no. 1. http://geodesic.mathdoc.fr/item/VM_2000_2_1_a1/