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material:fermion-graph [2024/07/31 15:27] markusmaterial:fermion-graph [2024/10/17 11:10] (current) markus
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 +====== Python script for many-particle system in Slater basis on graphs ======
  
 +Python 3.7 script that uses networkx\\
 +this script is part of the public domain\\
 +CC0 1.0 Universal ([[https://creativecommons.org/publicdomain/zero/1.0/|CC0 1.0]])\\
 +Author: Markus Penz (2021)
 +
 +**This code has evolved into a small library with a lot of additional features called [[material:qmodel|qmodel]].**
 +
 +----
 +
 +Scripts used for M. Penz and R. van Leeuwen, //Density-Functional Theory on Graphs//, [[https://doi.org/10.1063/5.0074249|J. Chem. Phys. 155, 244111 (2021)]] ([[https://arxiv.org/abs/2106.15370|arxiv link]])
 +
 +{{ :material:fermion-graph.zip | fermion-graph.zip }}
 +
 +defining a many-particle graph Hamiltonian with scalar_potential, peierls_phase, and interaction_potential\\
 +calculating eigensystem, including ground-state energy, density, and current\\
 +display graph and associated fermionic graph
 +
 +----
 +
 +Scripts used for M. Penz and R. van Leeuwen, //Geometrical Perspective on Spin-Lattice Density-Functional Theory// (2024) ([[https://arxiv.org/abs/2407.20260|arxiv link]])
 +
 +{{ :material:scripts-perspective-spin-lattice.zip | scripts-perspective-spin-lattice.zip }}
 +
 +creates the plots for the Anderson impurity model and the densities of randomly chosen potentials on the tetrahedron graph, also includes two Mathematica notebooks

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