43 citations · 181 across the 11 of their papers we have counts for
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Similarity of eigenstates in generalized labyrinth tilings
Stefanie Thiem, Michael Schreiber
The eigenstates of d-dimensional quasicrystalline models with a separable Hamiltonian are studied within the tight-binding model. The approach is based on mathematical sequences, c…
Photonic Properties of Metallic-Mean Quasiperiodic Chains
Stefanie Thiem, Michael Schreiber
The light propagation through a stack of two media with different refractive indices, which are aligned according to different quasiperiodic sequences determined by metallic means,…
Generalized Inverse Participation Numbers in Metallic-Mean Quasiperiodic Systems
Stefanie Thiem, Michael Schreiber
From the quantum mechanical point of view, the electronic characteristics of quasicrystals are determined by the nature of their eigenstates. A practicable way to obtain informatio…
Wave Functions, Quantum Diffusion, and Scaling Exponents in Golden-Mean Quasiperiodic Tilings
Stefanie Thiem, Michael Schreiber
We study the properties of wave functions and the wave-packet dynamics in quasiperiodic tight-binding models in one, two, and three dimensions. The atoms in the one-dimensional qua…
Renormalization Group Approach for the Wave Packet Dynamics in Golden-Mean and Silver-Mean Labyrinth Tilings
Stefanie Thiem, Michael Schreiber
We study the quantum diffusion in quasiperiodic tight-binding models in one, two, and three dimensions. First, we investigate a class of one-dimensional quasiperiodic chains, in wh…
Partitioning Schemes and Non-Integer Box Sizes for the Box-Counting Algorithm in Multifractal Analysis
Stefanie Thiem, Michael Schreiber
We compare different partitioning schemes for the box-counting algorithm in the multifractal analysis by computing the singularity spectrum and the distribution of the box probabil…