Local quantum embedding data supporting [arXiv:2506.18709][Phys. Rev. B 113, 155158]

Here we provide RAW data for the local embedding theory (RISB, gRISB and DMFT) results in arXiv:2506.18709, with accompanying Matlab/Octave scripts to showcase the (simple) data analysis and reproduce the published figures. The scripts encode also some data points for numerically exact Monte Carlo simulations, for which we do not report any RAW data, but only the values of the double occupancy and the Néel magnetization used to compute the local nonfreeness within our new formulation. RAW Monte Carlo data, if desired, shall be requested to the original authors.

All scripts have been checked to correctly work in Matlab, version 24.2.0.2923080 (R2024b) Update 6, and GNU Octave, version 10.3.0.

Detailed README files are included in the square_data/ and honey_data/ sub-directories, guiding the reader to the use of the scripts and the structure of the data. Static previews of these files are included in the top layer of the repository.

The utils/ directory contains some simple Matlab/Octave functions needed by the scripts. The scripts take already care of adding these utilities to the path, provided that they are run from their base directories (as customary in both Matlab and GNU Octave).