Competition between Interactions and Randomness in Photoinduced Synchronization of Charge Oscillations on a Dimer Lattice

TL;DR

This study investigates how interactions and randomness influence photoinduced charge oscillation synchronization in a dimer lattice, revealing that strong on-site repulsion can overcome randomness to achieve synchronization, with implications for organic conductors.

Contribution

It demonstrates that strong on-site repulsion U can synchronize charge oscillations despite randomness, providing new insights into photoinduced dynamics in dimer systems.

Findings

Strong on-site repulsion U overcomes randomness to synchronize charge oscillations.

Weakly attractive nearest-neighbor interaction V enhances charge oscillation order.

Randomness disrupts synchronization during and after photoexcitation.

Abstract

The synchronization of charge oscillations after photoexcitation that has been realized through the emergence of an electronic breathing mode on dimer lattices is studied here from the viewpoint of the competition between interactions and randomness. We employ an extended Hubbard model at three-quarter filling on a simple dimer lattice and add random numbers to all transfer integrals between nearest-neighbor sites. Photoinduced dynamics are calculated using the time-dependent Schr\"odinger equation by the exact diagonalization method. Although the randomness tends to unsynchronize charge oscillations on different bonds during and after photoexcitation, sufficiently strong on-site repulsion $U$ overcomes this effect and synchronizes these charge oscillations some time after strong photoexcitation. The degree of synchronization is evaluated using an order parameter that is derived from the time profiles of the current densities on all bonds. As to the nearest-neighbor interaction $V$, if $V$ is weakly attractive, it increases the order parameter by facilitating the charge oscillations. The relevance of these findings to previously reported experimental and theoretical results for the organic conductor $\kappa$-(bis[ethylenedithio]tetrathiafulvalene)$_2$Cu[N(CN)$_2$]Br is discussed.