Abstract
The short-range, one-band model for electron correlations in a narrow energy band is solved exactly in the one-dimensional case. The ground-state energy, wave function, and the chemical potentials are obtained, and it is found that the ground state exhibits no conductor-insulator transition as the correlation strength is increased.
Work partially supported by National Science Foundation Grant No. GP-6851.
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Reference
J. H. Van Vleck, Rev. Mod. Phys. 25, 220 (1953).
M. C. Gutzwiller, Phys. Rev. Letters 10, 159 (1963), and Phys. Rev. 134, A923 (1964), and 137, A1726 (1965).
J. Hubbard, Proc. Roy. Soc. (London), Ser. A 276, 238 (1963), and 277, 237 (1964).
G. Kemeny, Ann. Phys. (N.Y.) 32, 69, 404 (1965).
See also the review article by C. Herring, in Magnetism, edited by G. T. Rado and H. Suhl (Academic Press, Inc., New York, 1966 ), Vol. IV, Chap. 10.
E. Lieb and D. C. Mattis, Phys. Rev. 125, 164 (1962). The proof of the theorem given in this refer¬ence can be adopted to our Hamiltonian (1).
J, des Cloizeaux and M. Gaudin, J. Math. Phys. 7, 1384 (1966).
C. N. Yang and C. P. Yang, Phys. Rev. 150, 321, 327 (1966).
E. Lieb and W. Linger, Phys. Rev. 130, 1605 (1963);
E. Lieb, Phys. Rev. 130, 1616 (1963).
J. B. McGuire, J. Math. Phys. 6, 432 (1965).
M. Flicker, thesis, Yeshiva University, 1966 (un¬published); M. Flicker and E. Lieb, Phys. Rev. 161, 179 (1967).
M. Gaudin, Phys. Letters 24A, 55 (1967).
M. Gaudin, thesis, University of Paris, 1967 (un¬published).
C. N. Yang, Phys. Rev. Letters 19, 1312 (1967).
D. Mattis, to be published.
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Lieb, E.H., Wu, F.Y. (2004). Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension. In: Nachtergaele, B., Solovej, J.P., Yngvason, J. (eds) Condensed Matter Physics and Exactly Soluble Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06390-3_39
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DOI: https://doi.org/10.1007/978-3-662-06390-3_39
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