11 citations · 42 across the 13 of their papers we have counts for
13 papers
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…
Blume-Emery-Griffiths model on Random Graphs
R. Erichsen, Alexandre Silveira, S. G. Magalhaes
The Blume-Emery-Griffiths model with a random crystal field is studied in a random graph architecture, in which the average connectivity is a controllable parameter. The disordered…
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…
Ising spin glass in a random network with a gaussian random field
R. Erichsen, A. Silveira, S. G. Magalhaes
We investigate thermodynamic phase transitions of the joint presence of spin glass (SG) and random field (RF) using a random graph model that allows us to deal with the quenched di…
Unfolding of phases and multicritical points in the Classical Anisotropic van Hemmen Spin Glass Model with Random Field
S. G. Magalhaes, I. C. Berger, R. Erichsen
We study magnetic properties of the 3-state spin ( and ) spin glass (SG) van Hemmen model with ferromagnetic interaction under a random field (RF). The RF fol…
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…