I am looking for any suitable algorithms based on density functional codes( such as SIESTA,...) to find LAMMPS potentials( especially many body potentials like Tersoff)
You should check out the inside of the LAMMPS/potentials. Sometimes you cannot find some new potential files, but you can request from authors.
potfit is a free implementation of the force-matching algorithm to generate effective potentials from ab-initio reference data.
https://www.potfit.net/wiki/doku.php
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