K. Penc et al., SPECTRAL FUNCTIONS OF THE ONE-DIMENSIONAL HUBBARD-MODEL IN THE U-]- HOW TO USE THE FACTORIZED WAVE-FUNCTION(INFINITY LIMIT ), Physical review. B, Condensed matter, 55(23), 1997, pp. 15475-15488
We give the details of the calculation of the spectral functions of th
e one-dimensional Hubbard model using the spin-charge factorized wave
function for several versions of the U --> + infinity limit. The spect
ral functions are expressed as a convolution of charge and spin dynami
cal correlation functions. A procedure to evaluate these correlation f
unctions very accurately for large systems is developed, and analytica
l results are presented for the low-energy region. These results are f
ully consistent with the conformal field theory. We also propose a dir
ect method of extracting the exponents from the matrix elements in mor
e general cases.