Orbital degeneracy as a source of frustration in LiNiO$_2$

Details Orbital degeneracy as a source of frustration in LiNiO$_2$ Orbital degeneracy as a source of frustration in LiNiO$_2$

2004-01-08

arxiv.org/abs/cond-mat/0401122v2

Phys. Rev. B 70, 014428 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 17 figures

Scientific paper

10.1103/PhysRevB.70.014428

Motivated by the absence of cooperative Jahn-Teller effect and of magnetic ordering in LiNiO$_2$, a layered oxide with triangular planes, we study a general spin-orbital model on the triangular lattice. A mean-field approach reveals the presence of several singlet phases between the SU(4) symmetric point and a ferromagnetic phase, a conclusion supported by exact diagonalizations of finite clusters. We argue that one of the phases, characterized by a large number of low-lying singlets associated to dimer coverings of the triangular lattice, could explain the properties of LiNiO$_2$, while a ferro-orbital phase that lies nearby in parameter space leads to a new prediction for the magnetic properties of NaNiO$_2$.

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