Ground state energies of the hubbard models and the hartree–fock approximation

Bach, 1997, Accuracy of the Hartree–Fock approximation for the Hubbard model, J. Math. Phys., 38, 2072, 10.1063/1.531922 Bach, 1995, Applications of a Correlation Estimate for Fermions Hubbard, 1963, Electron correlations in narrow energy bands, Proc. Roy. Soc. (London) A, 276, 238 Gutzwiller, 1963, The effect of correlation on ferromagnetism of transition metals, Phys. Rev. Lett., 10, 159, 10.1103/PhysRevLett.10.159 Kanamori, 1963, Electron correlation and ferromagnetism of transition metals, Prog. Theor. Phys., 30, 275, 10.1143/PTP.30.275 Lieb, 1995, The Hubbard model: some rigorous results and open problems Bach, 1994, Generalized Hartree–Fock theory and the Hubbard model, J. Stat. Phys., 76, 3, 10.1007/BF02188656 Bach, 2006, Ferromagnetism of the Hubbard model at strong coupling in the Hartree–Fock aproximation, Rev. Math. Phys., 18, 519, 10.1142/S0129055X06002735 Graf, 1994, A correlation estimate with applications to quantum systems with Coulomb interactions. In: The State of Matter – A volume dedicated to E. H. Lieb, Rev. Math. Phys., 6, 977, 10.1142/S0129055X94000328 Hanisch, 1997, Lattice dependence of saturated ferromagnetism in the Hubbard model, Phys. Rev. B, 56, 13960, 10.1103/PhysRevB.56.13960 Tasaki, 2008, The Hubbard model and origin of ferromagnetism, Eur. Phys. J. B, 64, 365, 10.1140/epjb/e2008-00113-2 Oleś, 1983, Antiferromagnetism and correlation of electrons in transition metals, Phys. Rev. B, 28, 327, 10.1103/PhysRevB.28.327 Vollhardt, 2001, Metallic ferromagnetism — An electronic correlation phenomenon, vol. 580, 191 Honerkamp, 2004, BCS pairing in Fermi systems with N different hyperfine states, Phys. Rev. B, 70, 10.1103/PhysRevB.70.094521