Frustration, Degeneracy and Forms
Visual Mathematics, Tome 2 (2000) no. 1
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},
year = {2000},
volume = {2},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VM_2000_2_1_a1/}
}
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/