Reentrant localization phenomenon in one-dimensional cross-stitch lattice with flat band
Zhan-Peng Lu,
Zhi-Hao Xu
Abstract:In this paper, we present a numerical study of the localization properties in a quasi-periodic modulated one-dimensional cross-stitch lattice with a flat band. When △ = 0, it is found that there are two different quasi-periodic modulation frequencies in the system after the local transformation, and the competing modulation by two frequencies may lead to the reentrant localization transition in the system. By numerically solving the fractal dimension, the average inverse participation ratio, and the average no… Show more
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