N-electron Slater determinants from non-unitary canonical transformations of fermion operators

@article{JimnezHoyos2012NelectronSD,
  title={N-electron Slater determinants from non-unitary canonical transformations of fermion operators},
  author={Carlos A. Jim{\'e}nez-Hoyos and R. R. Rodr{\'i}guez-Guzm{\'a}n and Gustavo E. Scuseria},
  journal={Physical Review A},
  year={2012},
  volume={86}
}
Mean-field methods such as Hartree–Fock (HF) or Hartree–Fock–Bogoliubov (HFB) constitute the building blocks upon which more elaborate many-body theories are based on. The HF and HFB wavefunctions are built out of independent quasi-particles resulting from a unitary linear canonical transformation of the elementary fermion operators. Here, we discuss the possibility of allowing the HF transformation to become non-unitary. The properties of such HF vacua are discussed, as well as the evaluation… 

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