3 papers
cond-mat.dis-nn2026
The different localisation properties of the eigenmodes of the Laplacian and adjacency matrix of 2D random geometric graphs
Luca Schaefer, Barbara Drossel
We compare the spectrum and the localisation properties of the eigenmodes of the Laplacian and the adjacency matrix of 2D random geometric graphs, using numerical diagonalization o…
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
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…