Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement

Details Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement

2010-10-25

arxiv.org/abs/1010.5029v3

Physical Review B 84, 064409 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 4 figures. Revised version. To appear in PRB

Scientific paper

Here we investigate the phase diagram of the SO(n) bilinear-biquadratic quantum spin chain by studying the global quantum correlations of the ground state. We consider the cases of n=3,4 and 5 and focus on the geometric entanglement in the thermodynamic limit. Apart from capturing all the known phase transitions, our analysis shows a number of novel distinctive behaviors in the phase diagrams which we conjecture to be general and valid for arbitrary n. 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 other methods, such as fidelity diagrams.

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