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參考文獻1. Electron correlations in narrow energy bands by J. Hubbard, Proc. Roy. Soc. A276, 238 (1963). 2. On the instability of the ferromagnetic state in the limit of the Hubbard modelby B.Doucot and R. Rammal, Int. J. Mod. Phys. B3, 12(1989). 3. Electron correlation and ferromagnetism of transition metals by J. Kanamori, Prog. Theor. Phys. 30, 275(1963). 4. Ferromagnetism in a narrow, almost half-filled s band by Y. Nagaoka, Phys. Rev. 147, 392(1966).5. Instability of the Nagaoka state with more than one hole by B. Douct and X. G. Wen, Phys. Rev. B40, 4(1989).6. Ground state energy of Hubbard model by W. D. Langer and D. C. Mattis, Phys. Lett. A36, 139(1971).7. Stability of the Nagaoka state in the one-band Hubbard model by Guang-Shan Tian, Phys. Rev. B44, 9(1991). 8. Stability of the saturated ferromagnetic state in the one-band Hubbard model by A.Barbieri, J. A. Riera and A. P. Young, Phys. Rev. B41, 16(1990). 9. Hole-hole correlations in the limit of the Hubbard model and the stability of the Nagaoka state by M. W. Long and X. Zotos, Phys. Rev. B48, 1(1993). 10. Ground state of Hubbard model. Exact solution for two holes by E. V. Kuz’min, JETP Lett. 57, 9(1993). 11. Ferromagnetism in the one-band Hubbard model by J. A. Riera and A. P. Young, Phys. Rev. B40, 7(1989).12. Instability of the Nagaoka ferromagnetic state of the Hubbard model by B. S. Shastry, H. R. Krishnamurthy, and P. W. Anderson, Phys. Rev. B41, 2375(1990).13. Instability of the Nagaoka state with more than one hole B. Doucot and X. G. Wen, Phys. Rev. B40, 4(1989). 14. On the ground state of Hubbard model with strong repulsion by Ju. V. Mikhailova, Int. J. Mod. Phys. B12, 29(1998).15. Nagaoka Ferromagnetism in the two-dimensional infinite Hubbard model by F. Becca and S. Sorella, Phys. Rev. Lett, 86, 15(2001). 16. Gerald D. Mahan, Many-Particle Physics, New York, PlenumPress(1990).17. C. Kittel, Introduction to Solid State Physics, John Wileyand Sons, Inc., New York(1996).
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