The origin of strong correlations and superconductivity in Na$_x$CoO$_2$

Details The origin of strong correlations and superconductivity in Na$_x$CoO$_2$ The origin of strong correlations and superconductivity in Na$_x$CoO$_2$

2007-07-16

arxiv.org/abs/0707.2364v2

Phys. Rev. B 77, 104532 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 6 figures, extended version as published in PRB

Scientific paper

10.1103/PhysRevB.77.104532

We propose a minimal model resolving a puzzle of enigmatic correlations observed in sodium-rich Na$_x$CoO$_2$ where one expects a simple, free motion of the dilute $S=1/2$ holes doped into a band insulator NaCoO$_2$. The model also predicts singlet superconductivity at experimentally observed compositions. The model is based on a key property of cobalt oxides -- the spin-state quasidegeneracy of CoO$_6$ octahedral complex -- leading to an unusual physics of, {\it e.g.}, LaCoO$_3$. We show that correlated hopping between $t_{2g}$ and $e_g$ states leads to the spin-polaron physics at $x\sim 1$, and to an extended s-wave pairing at larger doping when coherent fermionic bands are formed.

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