Dynamical mean field theory of an effective three-band model for Na$_x$CoO$_2$

Details Dynamical mean field theory of an effective three-band model for Na$_x$CoO$_2$ Dynamical mean field theory of an effective three-band model for Na$_x$CoO$_2$

2009-01-13

arxiv.org/abs/0901.1834v1

Phys. Rev. Lett. 102, 066402 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevLett.102.066402

We derive an effective Hamiltonian for highly correlated $t_{2g}$ states centered at the Co sites of Na$_x$CoO$_2$. The essential ingredients of the model are an O mediated hopping, a trigonal crystal-field splitting, and on-site effective interactions derived from the exact solution of a multi-orbital model in a CoO$_6$ cluster, with parameters determined previously. The effective model is solved by dynamical mean-field theory (DMFT). We obtain a Fermi surface (FS) and electronic dispersion that agrees well with angle-resolved photoemission spectra (ARPES). Our results also elucidate the origin of the "sinking-pockets" in different doping regimes.

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