Abstract
Here we investigate the phase diagram of the SO() bilinear-biquadratic quantum spin chain by studying the global quantum correlations of the ground state. We consider the cases of , and 5 and focus on the geometric entanglement in the thermodynamic limit. Apart from capturing all the known phase transitions for these cases, our analysis shows a number of distinctive behaviors in the phase diagrams which we conjecture to be general and valid for arbitrary . In particular, we provide an intuitive argument in favor of an infinite entanglement length in the system at a purely biquadratic point. Our results are also compared to those of other methods, such as fidelity diagrams.
- Received 11 May 2011
DOI:https://doi.org/10.1103/PhysRevB.84.064409
©2011 American Physical Society