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Non-perturbative dynamics of flat-band systems with correlated disorder

CHINESE PHYSICS B 2024年第9期33卷 547-551页

作者： Li, Qi Liu, Junfeng Liu, Ke Hu, Zi-Xiang Li, Zhou Chinese Acad Sci Aerosp Informat Res Inst GBA Branch Guangzhou 510535 Peoples R China Guangdong Prov Key Lab Terahertz Quantum Electrom Guangzhou 510700 Peoples R China Univ Chinese Acad Sci Beijing 100039 Peoples R China Guangzhou Univ Sch Phys & Mat Sci Guangzhou 510006 Peoples R China Chongqing Univ Dept Phys Chongqing 401331 Peoples R China Chongqing Univ Chongqing Key Lab Strongly Coupled Phys Chongqing 401331 Peoples R China

We develop a numerical method for the time evolution of Gaussian wave packets on flat-band lattices in the presence of correlated disorder. To achieve this, we introduce a method to generate random on-site energies with prescribed correlations. We verify this method with a one-dimensional (1D) cross-stitch model, and find good agreement with analytical results obtained from the disorder-dressed evolution equations. This allows us to reproduce previous findings, that disorder can mobilize 1D flat-band states which would otherwise remain localized. As explained by the corresponding disorder-dressed evolution equations, such mobilization requires an asymmetric disorder-induced coupling to dispersive bands, a condition that is generically not fulfilled when the flat-band is resonant with the dispersive bands at a Dirac point-like crossing. We exemplify this with the 1D Lieb lattice. While analytical expressions are not available for the two-dimensional (2D) system due to its complexity, we extend the numerical method to the 2D alpha-T3 model, and find that the initial flat-band wave packet preserves its localization when alpha = 0, regardless of disorder and intersections. However, when alpha not equal 0, the wave packet shifts in real space. We interpret this as a Berry phase controlled, disorder-induced wave-packet mobilization. In addition, we present density functional theory calculations of candidate materials, specifically Hg1-xCdxTe. The flat-band emerges near the Gamma point (k = 0) in the Brillouin zone.

关键词： flat-band system dynamics correlated disorder 72.80.Ng 78.20.Bh 67.80.de 05.50.+q HUBBARD-MODEL FERROMAGNETISM LOCALIZATION INSULATOR

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