Investigation of on-site inter-orbital single electron hoppings in general multi-orbital systems

Abstract

A general multi-orbital Hubbard model, which includes on-site inter-orbital electron hoppings, is introduced and studied. It is shown that the on-site inter-orbital single electron hopping is one of the most basic interactions. Two electron spin-flip and pair-hoppings are shown to be correlation effects of higher order than the on-site inter-orbital single hopping. It is shown how the double and higher hopping interactions can be well-defined for arbitrary systems. The two-orbital Hubbard model is studied numerically to demonstrate the influence of the single electron hopping effect, leading to a change of the shape of the bands and a shrinking of the difference between the two bands. Inclusion of the on-site inter-orbital hopping suppresses the so-called orbital-selective Mott transition.

5 pages, 3 figures

References in corpus (4)

• Metal-Insulator phase diagram and orbital selectivity in 3-orbital models with rotationally invariant Hund coupling
• A fast impurity solver based on equations of motion and decoupling
• Advanced multi-orbital impurity solver for dynamical mean field theory based on the equation of motion approach
• Fast multi-orbital equation of motion impurity solver for dynamical mean field theory

Cited by in corpus (3)

• Non-equilibrium magnetic interactions in strongly correlated systems
• The role of electron-vibron interaction and local pairing in conductivity and superconductivity of alkali-doped fullerides
• Quantum phase transitions in the Kitaev--Heisenberg model on a single hexagon