We consider dynamical spin-spin correlation functions in the one-dimensional repulsive half-filled Hubbard model. We propose an exact expression for the two-spinon form factor of spin operators. We use this to derive the two-spinon contribution to the dynamical structure factor.

arXiv:cond-mat/9808018Physical review. B, Condensed matterJan 15, 19998 citations

Journal of Statistical Physics

The Two Dimensional Hubbard Model at Half-Filling. I. Convergent Contributions

Vincent Rivasseau

Published Feb 1, 2002• 17 citations

Publisher

DOI: 10.1023/a:1013770608643

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We prove analyticity theorems in the coupling constant for the Hubbard model at half-filling. The model in a single renormalization group slice of index

i

is proved to be analytic in

λ

for

|λ| \le c/i

for some constant

c

, and the skeleton part of the model at temperature

T

(the sum of all graphs without two point insertions) is proved to be analytic in

λ

for

|λ| \le c/|\log T|^{2}

. These theorems are necessary steps towards proving that the Hubbard model at half-filling is {\it not} a Fermi liquid (in the mathematically precise sense of Salmhofer).