CORRELATION FUNCTIONS OF QUASI-ONE-DIMENSIONAL SYSTEMS

N. N. Bogolyubov

Akihiko Matsuyama

FENG WEI-GUO, SUN XIN, 复旦大学物理系,中国科学技术大学结构分析中心开放实验室

For the quasi one-dimensional electron systems with coulomb interaction, the many-body wave function is obtained on the basis of the correlation oscillation behavior of the electron gas, and the electron correlation function g (|z12|) for quasi one-dimensional systems has been calculated in this paper.

P.I. Kuindersma

Hiroyuki Shiba, Masao Ogata

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.

K. B. Efetov, A.I. Lapkin