Abstract
We study the thermodynamic limit of the ground states of VBS models on a Cayley tree. We prove uniqueness for coordination numbersz ⩽ 4 and the occurrence of Néel order forz ⩾ 5. Our main technical tool is a transfer matrix description of VBS states.
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Fannes, M., Nachtergaele, B. & Werner, R.F. Ground states of VBS models on cayley trees. J Stat Phys 66, 939–973 (1992). https://doi.org/10.1007/BF01055710
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DOI: https://doi.org/10.1007/BF01055710