Variational Mean Field approach to the Double Exchange Model

Details Variational Mean Field approach to the Double Exchange Model Variational Mean Field approach to the Double Exchange Model

2000-07-27

arxiv.org/abs/cond-mat/0007438v1

Phys. Rev. B63, 054411 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 11 postscript figures, revtex

Scientific paper

10.1103/PhysRevB.63.054411

It has been recently shown that the double exchange Hamiltonian, with weak antiferromagnetic interactions, has a richer variety of first and second order transitions than previously anticipated, and that such transitions are consistent with the magnetic properties of manganites. Here we present a thorough discussion of the variational Mean Field approach that leads to the these results. We also show that the effect of the Berry phase turns out to be crucial to produce first order Paramagnetic-Ferromagnetic transitions near half filling with transition temperatures compatible with the experimental situation. The computation relies on two crucial facts: the use of a Mean Field ansatz that retains the complexity of a system of electrons with off-diagonal disorder, not fully taken into account by the Mean Field techniques, and the small but significant antiferromagnetic superexchange interaction between the localized spins.

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