Published November 2, 2026 | Version 2.0.0

Supporting material for "Two-parameter scaling theory of Anderson localization on the hyperbolic plane"

  • 1. ROR icon University of Cologne
  • 2. ROR icon Centro Brasileiro de Pesquisas Físicas
  • 3. ROR icon University College London

Description

This record contains supporting material for the manuscript Two-parameter scaling theory of Anderson localization on the hyperbolic plane by Alexander Altland, Tobias Micklitz, Devasheesh Sharma, Maksimilian Usoltcev, and Carolin Wille.

The archive provides extended analytical derivations, Python code, Jupyter and Wolfram Mathematica notebooks, and numerical data supporting the calculations and figures in the manuscript and its Supplemental Material.

The repository is organized into separate folders for the analytical derivations and each publication figure. It covers hyperbolic Brownian trajectories, the two-parameter renormalization-group flow, hyperbolic graph representations, finite-graph localization calculations on Bethe, Husimi, and Poisson–Delaunay graphs, and spectral comparisons between continuum and discrete Laplacians.

Numerically intensive calculations are accompanied by archived data and the corresponding production code, allowing the publication figures to be regenerated without repeating the full simulations. Each folder includes reproduction instructions, and the repository provides dependency information and validation checks.

Associated manuscript: arXiv:2604.24917.

Files

anderson-localization-hyperbolic-plane-supporting-material-v2.zip

Files (3.5 MB)

Additional details

Related works

Is supplement to
Preprint: arXiv:2604.24917 (arXiv)

Funding

Deutsche Forschungsgemeinschaft
CRC/TRR 183 277101999-A03
Engineering and Physical Sciences Research Council
UK Quantum Technologies Programme EP/Z53318X/1
National Council for Scientific and Technological Development
Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Software

Programming language
Python , Mathematica
Development Status
Inactive