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

@article{Nachtergaele2017ADP,
  title={A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains},
  author={Bruno Nachtergaele and Daniel Ueltschi},
  journal={Letters in Mathematical Physics},
  year={2017},
  volume={107},
  pages={1629-1647}
}
  • Bruno Nachtergaele, Daniel Ueltschi
  • Published 2017
  • Mathematics, Physics
  • Letters in Mathematical Physics
  • 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. 

    Figures from this paper.