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 Locationhttps://arxiv.org/pdf/1701.03983.pdf
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.