Two-site dynamical mean field theory for the dynamic Hubbard model

Abstract

At zero temperature, two-site dynamical mean field theory is applied to the Dynamic Hubbard model. The Dynamic Hubbard model describes the orbital relaxation that occurs when two electrons occupy the same site, by using a two-level boson field at each site. At finite boson frequency, the appearance of a Mott gap is found to be enhanced even though it shows a metallic phase with the same bare on-site interaction $U$ in the conventional Hubbard model. The lack of electron-hole symmetry is highlighted through the quasi-particle weight and the single particle density of states at different fillings, which qualitatively differentiates the dynamic Hubbard model from other conventional Hubbard-like models.

13 pages, 15 figures

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• The Spectral Decomposition of the Helium atom two-electron configuration in terms of Hydrogenic orbitals
• Optical conductivity for a dimer in the Dynamic Hubbard model
• Site-occupation--Green's function embedding theory: A density-functional approach to dynamical impurity solvers
• Dynamic Hubbard model for solids with hydrogen-like atoms