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A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains
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Nachtergaele, Bruno and Ueltschi, Daniel (2017) A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains. Letters in Mathematical Physics, 107 (9). pp. 1629-1647. doi:10.1007/s11005-017-0960-0 ISSN 1573-0530.
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Official URL: https://doi.org/10.1007/s11005-017-0960-0
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.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QC Physics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| SWORD Depositor: | Library Publications Router | ||||||||
| Library of Congress Subject Headings (LCSH): | Quantum theory , High spin physics | ||||||||
| Journal or Publication Title: | Letters in Mathematical Physics | ||||||||
| Publisher: | Springer Netherlands | ||||||||
| ISSN: | 1573-0530 | ||||||||
| Official Date: | September 2017 | ||||||||
| Dates: |
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| Volume: | 107 | ||||||||
| Number: | 9 | ||||||||
| Page Range: | pp. 1629-1647 | ||||||||
| DOI: | 10.1007/s11005-017-0960-0 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Reuse Statement (publisher, data, author rights): | ** From Springer Nature via Jisc Publications Router. ** History: received 23-01-2017; rev-recd 23-03-2017; accepted 29-03-2017; epub 09-05-2017; ppub 09-2017. ** Licence for this article: http://creativecommons.org/licenses/by/4.0/ | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 17 May 2018 | ||||||||
| Date of first compliant Open Access: | 17 May 2018 | ||||||||
| RIOXX Funder/Project Grant: |
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