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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
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Ferromagnetic Ground States in Face-Centered Cubic Hubbard Clusters.
1Departamento de Fisica, Universidade Federal de Sergipe, 49100-000 Sao Cristovao, SE, Brazil.
Plos One
|September 2, 2016
Summary
This study analyzed face-centered cubic Hubbard clusters, finding a ferromagnetic phase at specific particle densities and strong coulombic interactions. This supports theories on direct exchange interactions driving ferromagnetism.
Area of Science:
- Condensed Matter Physics
- Materials Science
Background:
- Understanding the magnetic properties of materials like nickel is crucial.
- The Hubbard model is a key theoretical framework for studying interacting electron systems.
Purpose of the Study:
- To investigate the ground state energies of face-centered cubic (FCC) Hubbard clusters.
- To determine the conditions under which these clusters exhibit ferromagnetic behavior.
Main Methods:
- Utilized the Lanczos method for accurate ground state energy calculations.
- Analyzed energy as a function of particle density (n) and coulombic interaction (U).
Main Results:
- Identified an energy minimum in FCC structures at n = 0.6 when U = 3W (W=non-interacting energy bandwidth).
- Observed ferromagnetic properties in the FCC cluster under these specific conditions.
- Found that the energy minimum decreased with increasing U.
Conclusions:
- The findings support Hirsh's conjecture regarding the dominance of interatomic direct exchange interactions in driving ferromagnetism.
- The results show strong similarities to the properties of nickel and existing finite-temperature analyses.
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