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- W4313332394 abstract "The ground-state properties of the Hubbard model with attractive local pairing interactions are investigated in the framework of lattice density-functional theory. A remarkable correlation is revealed between the interaction-energy functional $W[mathbit{ensuremath{eta}}]$ corresponding to the Bloch-state occupation-number distribution ${ensuremath{eta}}_{ensuremath{kappa}ensuremath{sigma}}$ and the entropy $S[mathbit{ensuremath{eta}}]$ of a system of noninteracting fermions having the same ${ensuremath{eta}}_{mathbit{k}ensuremath{sigma}}$. The relation between $W[mathbit{ensuremath{eta}}]$ and $S[mathbit{ensuremath{eta}}]$ is shown to be approximately linear for a wide range of ground-state representable occupation-number distributions ${ensuremath{eta}}_{mathbit{k}ensuremath{sigma}}$. Taking advantage of this statistical analogy, a simple explicit ansatz for $W[mathbit{ensuremath{eta}}]$ of the attractive Hubbard model is proposed, which can be applied to arbitrary periodic systems. The accuracy of this approximation is demonstrated by calculating the main ground-state properties of the model on several 1D and 2D bipartite and nonbipartite lattices and by comparing the results with exact diagonalizations." @default.
- W4313332394 created "2023-01-06" @default.
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- W4313332394 date "2022-12-29" @default.
- W4313332394 modified "2023-09-30" @default.
- W4313332394 title "Density-matrix functional theory of the attractive Hubbard model: Statistical analogy of pairing correlations" @default.
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- W4313332394 doi "https://doi.org/10.1103/physrevb.106.245148" @default.
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