Ground states of the symmetric Anderson lattice with screening in one dimension

Abstract

The densities of states and effective single-particle dispersions of the symmetric Anderson lattice Hamiltonians with Coulomb screening Us(N/Na=2) are studied by second-order self-energy renormalisations in Us and U (localised-electron repulsion). Analytical considerations show that a well-defined quasiparticle band of heavy Fermi liquid is produced near the Fermi energy and the smallest gap Eg moves to mod k mod approximately ( pi /2)(1+or-V2/U), (V mixing), and behaves as Eg approximately V2(V2/U) in the localised-moment regime.