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arXiv · 1701.03983

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

Bruno Nachtergaele·Daniel Ueltschi
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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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Bruno Nachtergaele, Daniel Ueltschi. 2018-08-21. A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains. https://doi.org/10.1007/s11005-017-0960-0

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