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.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 September 2017
 DOI:
 10.1007/s1100501709600
 arXiv:
 arXiv:1701.03983
 Bibcode:
 2017LMaPh.107.1629N
 Keywords:

 Mathematical Physics;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Strongly Correlated Electrons;
 82B10;
 82B20;
 82B26
 EPrint:
 14 pages, 7 figures, updated to published version and one footnote added