Theory of high-Tcsuperconductors within a realistic Anderson lattice model

Abstract

A realistic Anderson lattice Hamiltonian for ${\mathrm{La}}_{2-x}{\mathrm{Sr}}_x\mathrm{Cu}{\mathrm{O}}_4$ is derived from an extensive tight-binding parametrization of ab initio band structure. A solution of the Hamiltonian by the $\frac{1}{N}$ expansion technique gives remarkably good agreement with the data on thermodynamic, transport, and critical properties, e.g., the location of the holes on the oxygen and saturation of $T_c$ at 15% doping are reproduced.