Properties of One-Dimensional Strongly Correlated Electrons

Hiroyuki Shiba, Masao Ogata

Karlo Penc, Frédéric Mila, Hiroyuki Shiba

Yongxi Zhou

The unique property of Coulomb interaction in strict one-dimensional (1D) system is revealed that the Coulomb repulsion energy of paired electrons is divergent. As consequences, electrons in 1D system can not doubly occupy the same spatial orbital and are completely localized. Numerical simulation by time dependent Hartree-Fock approximation shows this distinct property. The '0.7 anomaly' in 1D electron gas is fully explained by the property. Its possible contribution to strongly correlated systems is discussed.

S. V. Kravchenko

Hiroyuki Shiba, Masao Ogata

There are two fundamental models for one-dimensional strongly correlated electrons: the Hubbard model and the t-J model. Recent intensive efforts have led to clarifying many important aspects of those systems, whose low-energy behaviors can be described as Luttinger liquid. This paper reviews current status of our understanding, which has been achieved with analytic and numerical approaches.