Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2006-07-23
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 3 figures. Accepted for publication in Rapid Communications of Phys. Rev. B
Scientific paper
We study the phase stability of the Edwards-Anderson spin-glass model by analyzing the domain-wall energy. For the bimodal distribution of bonds, a topological analysis of the ground state allows us to separate the system into two regions: the backbone and its environment. We find that the distributions of domain-wall energies are very different in these two regions for the three dimensional (3D) case. Although the backbone turns out to have a very high phase stability, the combined effect of these excitations and correlations produces the low global stability displayed by the system as a whole. On the other hand, in two dimensions (2D) we find that the surface of the excitations avoids the backbone. Our results confirm that a narrow connection exists between the phase stability of the system and the internal structure of the ground-state. In addition, for both 3D and 2D we are able to obtain the fractal dimension of the domain wall by direct means.
Nieto Felix
Ramirez-Pastor Antonio José
Risau-Gusman Sebastian
Roma Federico
Vogel Edward
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