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A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains

  • Author(s): Nachtergaele, Bruno
  • Ueltschi, Daniel
  • et al.

Published Web Location

https://arxiv.org/pdf/1701.03983.pdf
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Abstract

We study the family of spin-S quantum spin chains with a nearest neighbor interaction given by the negative of the singlet projection operator. Using a random loop representation of the partition function in the limit of zero temperature and standard techniques of classical statistical mechanics, we prove dimerization for all sufficiently large values of S.

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