Doublon Dynamics of the Hubbard Model on Triangular Lattice

TL;DR

This paper investigates doublon dynamics in the half-filled Hubbard model on a triangular lattice, revealing phase-dependent behaviors and correlations using cellular dynamical mean field theory.

Contribution

It provides new insights into doublon-holon interactions and their phase-dependent lifetimes in the Hubbard model on a triangular lattice.

Findings

Doublon-holon pairs exhibit strong attraction in the insulating phase.

Doublon lifetime is longer in the metallic phase than in the insulating phase.

Persistent fluctuations are observed in the metallic phase, but not in the insulating phase.

Abstract

We study the dynamics of doublon in the half-filled Hubbard model on the triangular lattice by using the cellular dynamical mean field theory. Investigating the nearest-neighbor dynamical correlations, we demonstrate that a nearest-neighbor doublon-holon pair shows a strong attraction, in particular in the insulating phase. We also calculate the on-site dynamical correlation of doublon and find that the life time of doublon is longer in the metallic phase than in the insulating phase. In the long-time region, the metallic phase has persistent fluctuations in various nearest-neighbor configurations, while the fluctuations are vanishingly small in the insulating phase. Obtained results indicate clear differences of dynamics of doublon between in the metallic and in the insulating phases.