The characteristics of fracton wavefunctions excited on two-dimensional sitepercolating networks are investigated using an array-processing supercomputer. It is found that fracton modes possess a quite unique character; i.e., the core of fracton excitations falls off sharply at their edges. The exponent dϕ, which indicates the strength of the localization of the fracton core, is much larger than unity. It is suggested that one should be careful when calculating the matrix elements relevant to the inelastic light scattering.
Volume 134, 2022
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