Double Exchange Models: Self Consistent Renormalisation

Details Double Exchange Models: Self Consistent Renormalisation Double Exchange Models: Self Consistent Renormalisation

2003-05-15

arxiv.org/abs/cond-mat/0305345v2

Eur. Phys. J. B, vol 46, 315 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages revtex. Final version, to appear in EPJB

Scientific paper

10.1140/epjb/e2005-00261-9

We propose a scheme for constructing classical spin Hamiltonians from Hunds coupled spin-fermion models in the limit J_H/t \to \infinity. 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).

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