English

The Generalized Green's function Cluster Expansion: A Python package for simulating polarons

Computational Physics 2023-10-16 v1 Materials Science

Abstract

We present an efficient implementation of the Generalized Green's function Cluster Expansion (GGCE), which is a new method for computing the ground-state properties and dynamics of polarons (single electrons coupled to lattice vibrations) in model electron-phonon systems. The GGCE works at arbitrary temperature and is well suited for a variety of electron-phonon couplings, including, but not limited to, site and bond Holstein and Peierls (Su-Schrieffer-Heeger) couplings, and couplings to multiple phonon modes with different energy scales and coupling strengths. Quick calculations can be performed efficiently on a laptop using solvers from NumPy and SciPy, or in parallel at scale using the PETSc sparse linear solver engine.

Keywords

Cite

@article{arxiv.2210.12260,
  title  = {The Generalized Green's function Cluster Expansion: A Python package for simulating polarons},
  author = {Matthew R. Carbone and Stepan Fomichev and Andrew J. Millis and Mona Berciu and David R. Reichman and John Sous},
  journal= {arXiv preprint arXiv:2210.12260},
  year   = {2023}
}

Comments

3 pages, software can be found open source under the BSD-3-clause license at github.com/x94carbone/GGCE

R2 v1 2026-06-28T04:13:27.765Z