Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-02-14
Phys. Rev. B 73, p. 113111 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
3 figures
Scientific paper
10.1103/PhysRevB.73.113111
A simple, physically motivated, scaling hypothesis, which becomes exact in important limits, yields estimates for the ground-state energy of large, composed, systems in terms of the ground-state energy of its building blocks. The concept is illustrated for the electron liquid, and the Hubbard model. By means of this scaling argument the energy of the one-dimensional half-filled Hubbard model is estimated from that of a 2-site Hubbard dimer, obtaining quantitative agreement with the exact one-dimensional Bethe-Ansatz solution, and the energies of the two- and three-dimensional half-filled Hubbard models are estimated from the one-dimensional energy, recovering exact results for $U\to 0$ and $U\to \infty $ and coming close to Quantum Monte Carlo data for intermediate $U$.
Capelle Klaus
Oliveira Luiz N.
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