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cond-mat.dis-nn2026
Localization in tight-binding models with power-law distributed couplings
Maximilian Weigmann, Luca Schaefer, Barbara Drossel
We study the localization properties of 1D and 2D tight-binding models with power-law distributed couplings by comparing the spectrum and the localization properties of the eigenmo…
cond-mat.dis-nn2025
Localized and delocalized modes on random geometric graphs in 1D
Luca Schaefer, Barbara Drossel
We perform an extensive investigation of the localization properties of the eigenmodes of the Laplace and adjacency matrix for one-dimensional random geometric graphs. We evaluate…
cond-mat.dis-nn2024★ 1 cited
The scaling behaviour of localised and extended states in one-dimensional tight-binding models with disorder
Luca Schaefer, Barbara Drossel
We investigate two one-dimensional tight-binding models with disorder that have extended states at zero energy. We use exact and partial diagonalisation of the Hamiltonian to obtai…