11 citations · 42 across the 13 of their papers we have counts for
Showing cond-mat.stat-mechShow all
3 papers · 1 filter
cond-mat.stat-mech2025
Decorated Clusters and Geometrical Frustration in Cluster Spin Glass: A Random Graph Approach
S. G. Magalhaes, F. M. Zimmer, R. Erichsen
We develop a theory to investigate how geometrically frustrated clusters that become decorated affect the Cluster Spin Glass phase. The cluster structure is assumed to be a tetrahe…
cond-mat.stat-mech2021★ 7 cited
Geometrical Frustration and Cluster Spin Glass with Random Graphs
Alexandre Silveira, R. Erichsen, S. G. Magalhaes
We develop a novel method based in the sparse random graph to account the interplay between geometric frustration and disorder in cluster magnetism. Our theory allows to introduce…
cond-mat.stat-mech2011★ 11 cited
Phase transitions in the three-state Ising spin-glass model with finite connectivity
R. Erichsen, W. K. Theumann
The statistical mechanics of a two-state Ising spin-glass model with finite random connectivity, in which each site is connected to a finite number of other sites, is extended in t…