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

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.

14 pages, 7 figures, updated to published version and one footnote added

References in corpus (2)

• Decay of transverse correlations in quantum Heisenberg models
• Universal Bethe ansatz solution for the Temperley-Lieb spin chain

Cited by in corpus (5)

• Structure of irreducibly covariant quantum channels for finite groups
• Temperley-Lieb quantum channels
• Dimerization and Néel order in different quantum spin chains through a shared loop representation
• Enhancing phase-covariant channel performance with non-unitality
• Dimerization in quantum spin chains with $O(n)$ symmetry