Wave packet dynamics in the one-dimensional extended Hubbard model

Abstract

Using time-dependent density-matrix renormalization group, we study the time evolution of electronic wave packets in the one-dimensional extended Hubbard model with on-site and nearest neighbor repulsion, U and V, respectively. As expected, the wave packets separate into spin-only and charge-only excitations (spin-charge separation). Charge and spin velocities exhibit non-monotonic dependence on V. For small and intermediate values of V, both velocities increase with V. However, the charge velocity exhibits a stronger dependence than that of the spin, leading to a more pronounced spin-charge separation. Charge fractionalization, on the other hand, is weakly affected by V. The results are explained in terms of Luttinger liquid theory in the weak-coupling limit, and an effective model in the strong-coupling regime.

6 pages, 4 figures

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• Filling-dependent doublon dynamics in the one-dimensional Hubbard model
• Using Nonequilibrium Dynamics to Probe Competing Orders in a Mott-Peierls System
• Spin Andreev-like reflection in metal-Mott insulator heterostructures
• Excitonic wave-packet evolution in a two-orbital Hubbard model chain: A real-time real-space study
• Observation of spin-charge separation and boundary bound states via the local density of states
• Nonlinear effects on charge fractionalization in critical chains