Non-perturbative dynamics of correlated disordered flat-band system

Author:

Qi Li, Junfeng Liu, Zi-Xiang Hu, Zhou Li

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn), Strongly Correlated Electrons (cond-mat.str-el), Computational Physics (physics.comp-ph), Quantum Physics (quant-ph)

journal:

date:

2023-05-29 16:00:00

Abstract

We develop a numerical method for the time evolution of Gaussian wave packet on a flat-band lattice in the presence of correlated disorder. We apply this to the one-dimensional (1D) cross-stitch model. Reasonable agreements with analytical results from the quantum master equation are found, for the decay and dephasing process when the flat-band intersects with the dispersive band. Extending the numerical method to the two dimensional (2D) $\alpha-T_3$ model, we find the initial flat-band wave packet preserves its localization when $\alpha = 0$ regardless of disorders and intersections; and it shifts in real space when $\alpha\neq 0$. We point out a method to generate random on-site energy with a prescribed correlation, derive the imaginary error function and the coupled equations of the flat-band and dispersive-band in 1D.

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