Abstract
The free energy in the vicinity of a half-filled band for the one-dimensional Hubbard model with attraction is calculated as a function of density (chemical potential). The expansion of the elementary excitation energies for a lattice of finite length N is accomplished with an accuracy of the order (N2 ln N)−1. An explicit expression for the free energy and the elementary excitation spectrum as functions of external field or of volume N is necessary for studying the asymptotic behavior of correlation functions.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 189, pp. 24–36, 1991.
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Bogolyubov, N.M. Logarithmic corrections in the one-dimensional Hubbard model with attraction. J Math Sci 62, 2955–2963 (1992). https://doi.org/10.1007/BF01097495
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DOI: https://doi.org/10.1007/BF01097495