Charge-spin-orbital dynamics of one-dimensional two-orbital Hubbard model

Abstract

We study the real-time evolution of a charge-excited state in a one-dimensional $e_{\mathrm{g}}$-orbital degenerate Hubbard model, by a time-dependent density-matrix renormalization group method. Considering a chain along the $z$ direction, electrons hop between adjacent $3z^2-r^2$ orbitals, while $x^2-y^2$ orbitals are localized. For the charge-excited state, a holon-doublon pair is introduced into the ground state at quarter filling. At initial time, there is no electron in a holon site, while a pair of electrons occupies $3z^2-r^2$ orbital in a doublon site. As the time evolves, the holon motion is governed by the nearest-neighbor hopping, but the electron pair can transfer between $3z^2-r^2$ orbital and $x^2-y^2$ orbital through the pair hopping in addition to the nearest-neighbor hopping. Thus holon and doublon propagate at different speed due to the pair hopping that is characteristic of multi-orbital systems.

4 pages, 3 figures, Proceedings of ICM2009 (July 26-31, 2009, Karlsruhe, Germany)

References in corpus (2)

• Real time evolution using the density matrix renormalization group
• Orbital ordering phenomena in $d$- and $f$-electron systems

Cited by in corpus (2)

• Wave packet dynamics in the one-dimensional extended Hubbard model
• Nonequilibrium dynamics of multiorbital correlated electron system under time-dependent electric fields