Ground-state structural transitions in small clusters within the effective temperature framework

Andre M.C. Souza

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 3, 444-450

Abstract: Ground-state structural transitions in finite-sized systems are studied in the Hubbard model. We use the concept of an effective temperature γ that is directly related to the interactions among electrons. We have studied all the possible clusters, with nearest-neighbour hopping, for two, three and four sites. Furthermore, we have also analysed the octahedron and the seven-site Apollonian networks. We show that the clusters in which there is a ground-state phase transition are antiferromagnetically frustrated. The low temperature dependence for the specific heat and entropy allow us to infer that there is a V-shaped universal phase in finite clusters.

Keywords: Ground-state transition; Hubbard model; Clusters (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:3:p:444-450

DOI: 10.1016/j.physa.2012.09.016

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