Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-02-24
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 3 figures
Scientific paper
The ground-state energy e_0 of the one-dimensional Hubbard model is written approximately as an explicit function of the particle density n, the magnetization m and the interaction strength U. The resulting analytical parametrization for e_0(n,m,U) recovers exactly known limiting cases and is close to the fully numerical solution of the Bethe-Ansatz equations away from these limits. For the special case of an unpolarized system this parametrization attains higher accuracy than earlier similar results [Lima et al., Phys. Rev. Lett. 90, 146402 (2003)] and achieves a better description of the Mott gap. Moreover, it is also applicable to spin-dependent phenomena in strongly correlated solids and to hyperfine-label-dependent phenomena of atoms in optical lattices. The parametrization of the homogeneous energy is used to construct a Bethe-Ansatz local-spin-density approximation, which we implement by means of Kohn-Sham calculations and show to be in excellent agreement with independent many-body calculations.
Capelle Klaus
França Vivian V.
Vieira Daniel
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