For integer-spin chains with SO(3) and translation symmetry, the minimal Renyi entropy is the smaller of two explicit expressions, and zero correlation length is forbidden.
Also, the minimal correlation length can also be achieved by such a state
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Symmetry-enforced minimal entanglement and correlation in quantum spin chains
For integer-spin chains with SO(3) and translation symmetry, the minimal Renyi entropy is the smaller of two explicit expressions, and zero correlation length is forbidden.