Householder-transformed density matrix functional embedding theory
نویسندگان
چکیده
Quantum embedding based on the (one-electron reduced) density matrix is revisited by means of unitary Householder transformation. While being exact and equivalent to (but formally simpler than) theory (DMET) in non-interacting case, resulting transformed functional (Ht-DMFET) preserves, construction, single-particle character bath when electron correlation introduced. In Ht-DMFET, projected "impurity+bath" cluster's Hamiltonian (from which approximate local properties interacting lattice can be extracted) becomes an explicit matrix. spirit single-impurity DMET, we consider this work a closed (two-electron) cluster constructed from full-size When (Householder transformed) interaction site taken into account, per-site energies obtained for half-filled one-dimensional Hubbard match almost perfectly Bethe Ansatz results all regimes. strongly correlated regime, deteriorate away half-filling. This related number fluctuations (two-site) are not described neither Ht-DMFET nor regular DMET. As expected, dramatically improve increasing embedded impurities. Formal connections with density/density theories have been briefly discussed should explored further. Work currently progress direction.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevb.104.035121