Journal
PHYSICAL REVIEW A
Volume 86, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.86.052102
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Funding
- US Department of Energy, Office of Basic Energy Sciences [DE-FG02-09ER16053]
- National Science Foundation [CHE-1110884]
- Welch Foundation [C-0036]
- Division Of Chemistry
- Direct For Mathematical & Physical Scien [1110884] Funding Source: National Science Foundation
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Mean-field methods such as Hartree-Fock (HF) and Hartree-Fock-Bogoliubov (HFB) constitute the building blocks upon which more elaborate many-body theories are based. The HF and HFB wave functions are built out of independent quasiparticles resulting from a unitary linear canonical transformation of the elementary fermion operators. Here, we discuss the possibility of allowing the HF transformation to become nonunitary. The properties of such HF vacua are discussed, as well as the evaluation of matrix elements among such states. We use a simple ansatz to demonstrate that a nonunitary transformation brings additional flexibility that can be exploited in variational approximations to many-fermion wave functions. The action of projection operators on nonunitary-based HF states is also discussed and applied, in a variation-after-projection approach, to the one-dimensional Hubbard model with periodic boundary conditions.
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