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Springer eBooks

Exact and Asymptotic Solutions for Bethe Ansatz in a Hexagon

Andrzej Wal

Published Jan 1, 2001• 0 citations
Publisher
DOI
10.1007/978-3-642-59448-9_22

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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.