Haldane gap in a S=1 exchange model with long-range interactions
arXiv:cond-mat/9702130 · doi:10.1007/s002570050231
Abstract
The ground-state properties of the S=1 Haldane-Shastry model are studied using a modified Lanczos algorithm and diagonalizing exactly small chains. We find evidence that, as for the antiferromagnetic Heisenberg model, the spectrum shows a gap, in contrast to the S=1/2 case. The correlation functions <S^{z}(0)S^{z}(m)> decay exponentially for large m. We find that the correlation functions for the Haldane-Shastry model decay faster than for the Heisenberg model. We estimate the infinite system limit for the ground-state energy, value of the gap and correlation functions.
Latex, 18 pages plus 7 figures (postscript)
References in corpus (1)
Cited by in corpus (4)
- Kaleidoscope of quantum phases in a long-range interacting spin-1 chain
- Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain
- Gapless spectrum in a class of S=1 exchange models with long-range interactions
- On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions