Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9601115

Ground state and excitations of the extended Hubbard model

D. F. Wang, James T. Liu

Published Jan 24, 1996• 0 citations
arXivHTMLPDF

Abstract

We examine the ground state and excitations of the one dimensional extended Hubbard model with long range interaction. The ground state wavefunctions and low lying excitations are given explicitly in the form of a Jastrow product of two body terms. This results motivates an asymptotic Bethe-ansatz for the model. We present evidence that this solution is in fact exact and spans the complete spectrum of states.

DOI
10.48550/arxiv.cond-mat/9601115

Related papers

Ground state and excitations of the supersymmetric extended Hubbard model with long-range interaction

D. F. Wang, James T. Liu

We examine the ground state and excitations of the one-dimensional supersymmetric extended Hubbard model with long-range interaction. The ground state wave-function and low lying excitations are given explicitly in the form of a Jastrow product of two-body terms. This result motivates an asymptotic Bethe ansatz solution for the model. We present evidence that this solution is in fact exact and spans the complete spectrum of states. \textcopyright{} 1996 The American Physical Society.

Physical review. B, Condensed matter•Jul 1, 1996•5 citations

The Hubbard Quantum Wire

You‐Quan Li, Christian Gruber

By introducing a boundary condition for the quantum wire, the Hubbard model is solved exactly by means of the Bethe ansatz. The wave function for the bounded state is clearly defined, and the secular equation for the spectrum is exactly obtained. The ground state and low-lying excited states are studied in the thermodynamic limit. The ground-state energy in the strong coupling limit is obtained explicitly, and compared with the results of a periodic boundary condition.

arXiv:cond-mat/9709102•Physical Review Letters•Feb 2, 1998•14 citations

Asymptotic Bethe ansatz: Application to the one-dimensional t-J model with long-range exchange and transfer

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.

Advanced series in mathematical physics•May 1, 1994•0 citations

Bethe Ansatz Equation for the Hubbard Model with Boundary Fields

Masahiro Shiroishi, Miki Wadati

We apply the coordinate Bethe ansatz method to the one-dimensional Hubbard model with boundary fields. We find two integrable boundaries, that is, the boundary chemical potential and the boundary magnetic field. In total, four possible boundary conditions are explicitly presented. Using the Bethe ansatz equations, the finite size corrections and the low-lying excitation spectrum are evaluated.

Journal of the Physical Society of Japan•Jan 15, 1997•62 citations

GROUND-STATE PROPERTIES AND ELEMENTARY EXCITATIONS OF THE ONE-DIMENSIONAL HUBBARD MODEL

J. M. P. Carmelo, D. Baeriswyl

The ground state of the one-dimensional Hubbard Hamiltonian is discussed on the basis of the Bethe ansatz solution of Lieb and Wu. A simple analytical representation of the distribution functions for charge and spin degrees of freedom is derived. The elementary excitations are associated with electron-hole pairs of two pseudo-fermion systems, one for the charge, the other for the magnetic excitations. Spinons and holons correspond to ground state configurations of odd-numbered rings. It is argued that holons will form bound pairs in weakly coupled chains.

International Journal of Modern Physics B•Oct 1, 1988•7 citations

Asymptotic Bethe ansatz: Application to the one-dimensionalt-Jmodel with long-range exchange and transfer

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.

Physical review. B, Condensed matter•Apr 1, 1992•45 citations
We examine the ground state and excitations of the one dimensional extended Hubbard model with long range interaction. The ground state wavefunctions and low lying excitations are given explicitly in the form of a Jastrow product of two body terms. This results motivates an asymptotic Bethe-ansatz for the model. We present evidence that this solution is in fact exact and spans the complete spectrum of states.
An asymptotic Bethe-ansatz solution is obtained for the one-dimensional t-J model with the 1/r2{\mathit{r}}^{2}r2 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.
The ground state of the one-dimensional Hubbard Hamiltonian is discussed on the basis of the Bethe ansatz solution of Lieb and Wu. A simple analytical representation of the distribution functions for charge and spin degrees of freedom is derived. The elementary excitations are associated with electron-hole pairs of two pseudo-fermion systems, one for the charge, the other for the magnetic excitations. Spinons and holons correspond to ground state configurations of odd-numbered rings. It is argued that holons will form bound pairs in weakly coupled chains.
An asymptotic Bethe-ansatz solution is obtained for the one-dimensional t-J model with the 1/r2{\mathit{r}}^{2}r2 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.