Squaring the Triangle: Insulating Ground State of $Na_{0.5}CoO_{2}$

Details Squaring the Triangle: Insulating Ground State of $Na_{0.5}CoO_{2}$ Squaring the Triangle: Insulating Ground State of $Na_{0.5}CoO_{2}$

2005-02-07

arxiv.org/abs/cond-mat/0502164v4

Phys. Rev. B vol. 75, 73103 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4.1 pages, 2 figures: The published version contains an explicit calculation of the dc resistivity as well as the Hall coeffic

Scientific paper

We demonstrate that at a filling of $n=1.5$, an hexatic insulating state obtains in the extended Hubbard model on a triangular lattice. Composed of two tetragonal sublattices with fillings of $n=1$ and $n=2$, the insulating state is charge ordered and possesses an antiferromagnetic superlattice with dimension $a\times\sqrt{3}$. Two distinct energy scales arise in our model, a charge gap for the insulator and the effective exchange interaction in the antiferromagnet. Our model is capable of explaining both qualitatively and quantitatively the Hall coefficient including the sign change, the temperature dependence of the resistivity and the persistence of antiferromagnetism above the insulating state.

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