Double exchange model for correlated electrons in systems with $t_{2g}$ orbital degeneracy

Details Double exchange model for correlated electrons in systems with $t_{2g}$ orbital degeneracy Double exchange model for correlated electrons in systems with $t_{2g}$ orbital degeneracy

2006-04-15

arxiv.org/abs/cond-mat/0604385v1

Lectures on the Physics of Highly Correlated Electron Systems X, eds. F. Mancini and A. Avella, AIP Conference Proceedings Vol

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 2 figures; to appear in: Lectures on the Physics of Highly Correlated Electron Systems X, AIP (2006); this is a more

Scientific paper

10.1063/1.2222278

We formulate the double exchange (DE) model for systems with $t_{2g}$ orbital degeneracy, relevant for hole-doped cubic vanadates. In the relevant regime of strong on-site Coulomb repulsion $U$ we solve the model using two distinct mean-field approximations: Hartree-Fock, and mean-field applied to the formulation of the model in the Kotliar-Ruckenstein slave boson representation. We show how, due to the relative weakness of the DE mechanism via $t_{2g}$ degenerate orbitals, the anisotropic C-type antiferromagnetic metallic phase and the orbital liquid state can be stabilized. This is contrasted with the DE mechanism via $e_g$ degenerate orbitals which stabilizes the ferromagnetic order in the hole-doped regime of manganites. The obtained results are in striking agreement with the observed magnetic structures and the collapse of the orbital order in the doped La$_{1-x}$Sr$_x$VO$_3$, Pr$_{1-x}$Ca$_x$VO$_3$ and Nd$_{1-x}$Sr$_x$VO$_3$.

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