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

被引：0
|
作者：
Bruno Nachtergaele
Daniel Ueltschi
机构：
[1] University of California,Department of Mathematics
[2] University of Warwick,Department of Mathematics
来源：
Letters in Mathematical Physics | 2017年 / 107卷
关键词：
Quantum spin chain; Dimerization; (; )-invariant chains; 82B10; 82B20; 82B26;
D O I：
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学科分类号：
摘要：
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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页码：1629 / 1647
页数：18
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