1998/06/12 by M. J. Calderón, J. A. Vergés, L. Brey · 1 citation
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Canonical ensemble #Chemistry #Condensed matter physics #Conductance #Conductivity #Electrical resistivity and conductivity #Exchange interaction #Ferromagnetism #Hamiltonian (control theory) #Kubo formula #Magnetic and transport properties of perovskites and related materials #Mathematics #Metal #Monte Carlo method #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Statistical ensemble #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.59.4170
published as Phys.Rev.B 59 (1999) 4170 · 6 pages, 5 figures included in the text
arxiv created 1998/06/12 · openalex publication_date 1999/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We have used the Kubo formula to calculate the temperature dependence of the electrical conductance of the double-exchange Hamiltonian. We average the conductance over a statistical ensemble of clusters, which are obtained by performing Monte Carlo simulations on the classical spin orientation of the double-exchange Hamiltonian. We find that for electron concentrations bigger than 0.1, the system is metallic at all temperatures. In particular, there are not any peaks or changes in slope observed in the temperature dependence of the resistivity near the magnetic critical temperature. We conclude that the double-exchange model is not able to explain the metal-to-insulator transition which experimentally occurs at temperatures near the magnetic critical temperature.