Bethe-ansatz solutions of 1D correlated electron systems with long-range exchange

Norio Kawakami

An asymptotic Bethe-ansatz solution is obtained for the one-dimensional t-J model with the 1/${\mathit{r}}^{2}$ long-range exchange and transfer, for which the ground-state wave function was obtained exactly by Kuramoto and Yokoyama. The present approach makes it possible to study analytically the energy spectrum as well as bulk quantities. The calculated quantities reproduce the exact results known for low-temperature properties and correlation functions. This solution represents an application for the asymptotic Bethe ansatz to correlated electron systems.

Deng Feng Wang

Norio Kawakami

An asymptotic Bethe-ansatz solution is obtained for the one-dimensional t-J model with the 1/${\mathit{r}}^{2}$ long-range exchange and transfer, for which the ground-state wave function was obtained exactly by Kuramoto and Yokoyama. The present approach makes it possible to study analytically the energy spectrum as well as bulk quantities. The calculated quantities reproduce the exact results known for low-temperature properties and correlation functions. This solution represents an application for the asymptotic Bethe ansatz to correlated electron systems.

Nelson Oyindenyifa Nenuwe

Dai S. Hirashima, 平島 大

Norio Kawakami, Sung-Kil Yang

We review the critical behavior of 1D highly correlated electron systems and 1D quantum many-body systems with long-range interactions. These models exhibit the common universal long-distance properties which are characterized as Luttinger liquids. The microscopic foundation of Luttinger liquids is formulated on the basis of conformal field theory and Bethe-ansatz solutions.