Self consistent solution of the tJ model in the overdoped regime*

Detailed results from a recent microscopic theory of extremely correlated Fermi liquids, applied to the t-J model in two dimensions, are presented. The theory is to second order in a parameter $\lambda$, and is valid in the overdoped regime of the tJ model. The solution reported here is from Ref [1], where relevant equations given in Ref [2] are self consistently solved for the square lattice. Thermodynamic variables and the resistivity are displayed at various densities and T for two sets of band parameters. The momentum distribution function and the renormalized electronic dispersion, its width and asymmetry are reported along principal directions of the zone. The optical conductivity is calculated. The electronic spectral function $A(k,\omega)$ probed in ARPES, is detailed with different elastic scattering parameters to account for the distinction between LASER and synchrotron ARPES. A high (binding) energy waterfall feature, sensitively dependent on the band hopping parameter $t'$ is noted.\\[4pt] [1] ``Extremely Correlated Fermi Liquids: Self consistent solution of the second order theory,'' D. Hansen and B. S. Shastry, arXiv:1211.0594 (2012). \\[0pt] [2] ``Extremely Correlated Fermi Liquids: The Formalism,'' B. S. Shastry, arXiv:1207.6826 (2012).