Double exchange models: self consistent renormalisation
Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India
Corresponding author: a email@example.com
Published online: 18 August 2005
We propose a scheme for constructing classical spin Hamiltonians from Hunds coupled spin-fermion models in the limit . The strong coupling between fermions and the core spins requires self-consistent calculation of the effective exchange in the model, either in the presence of inhomogeneities or with changing temperature. In this paper we establish the formalism and discuss results mainly on the “clean” double exchange model, with self consistently renormalised couplings, and compare our results with exact simulations. Our method allows access to system sizes much beyond the reach of exact simulations, and we can study transport and optical properties of the model without artificial broadening. The method discussed here forms the foundation of our papers [Phys. Rev. Lett. 91, 246602 (2003), and Phys. Rev. Lett. 92, 126602 (2004)].
PACS: 71.15.Pd – Molecular dynamics calculations (Car-Parrinello) and other numerical simulations / 75.10.Hk – Classical spin models / 72.15.-v – Electronic conduction in metals and alloys
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005