Site-occupation embedding theory using Bethe ansatz local density approximations

Bruno Senjean, Naoki Nakatani, Masahisa Tsuchiizu, Emmanuel Fromager

doi:10.48550/arxiv.1710.03125

Site-occupation embedding theory (SOET) is an alternative formulation of density-functional theory (DFT) for model Hamiltonians where the fully-interacting Hubbard problem is mapped, in principle exactly, onto an impurity-interacting (rather than a non-interacting) one. It provides a rigorous framework for combining wavefunction (or Green function) based methods with DFT. In this work, exact expressions for the per-site energy and double occupation of the uniform Hubbard model are derived in the context of SOET. As readily seen from these derivations, the so-called bath contribution to the per-site correlation energy is, in addition to the latter, the key density functional quantity to model in SOET. Various approximations based on Bethe ansatz and perturbative solutions to the Hubbard and single impurity Anderson models are constructed and tested on a one-dimensional ring. The self-consistent calculation of the embedded impurity wavefunction has been performed with the density matrix renormalization group method. It has been shown that promising results are obtained in specific regimes of correlation and density. Possible further developments have been proposed in order to provide reliable embedding functionals and potentials.

Regular article with 14 pages including 6 figures

Site-occupation embedding theory using Bethe ansatz local density approximations

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Site-occupation embedding theory using Bethe ansatz local density approximations

書誌事項

この論文をさがす

説明

収録刊行物

被引用文献 (2)*注記

参考文献 (73)*注記

関連プロジェクト

キーワード

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