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Conference in Honor of C N Yang's 85th Birthday

EXACT GROUND STATES AND CORRELATION FUNCTIONS OF INTERACTING SPINLESS FERMIONS ON TWO-LEGGED LADDER

Siew Ann Cheong

Published Dec 1, 2008• 0 citations
Publisher
DOI
10.1142/9789812794185_0069

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International Journal of Modern Physics B•Jan 1, 1991•37 citations
A recent study of the large-U limit of the one-dimensional (1D) Hubbard model is presented and discussed. It is pointed out first that the wave function has a simple structure in this limit. Namely, it is a product of Slater determinant of noninteracting spinless fermions and the wave function of 1D S=1/2 Heisenberg antiferromagnet. Secondly, by using this property, a direct calculation of momentum distribution and spin correlation function is carried out for the ground state at zero-field and finite-field cases. The results show various singularities exactly at the same position where one expects for the small-U case in both zero-field and finite-field cases. The critical exponents estimated from the size dependence are in reasonable agreement with those predicted by the Tomonaga-Luttinger-liquid and the conformal field theory.