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Dimerization in quantum spin chains with O(n) symmetry
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Bjornberg, Jakob E., Muhlbacher, Peter, Nachtergaele, Bruno and Ueltschi, Daniel (2021) Dimerization in quantum spin chains with O(n) symmetry. Communications in Mathematical Physics, 387 . pp. 1151-1189. doi:10.1007/s00220-021-04148-1 ISSN 0010-3616.
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Official URL: http://dx.doi.org/10.1007/s00220-021-04148-1
Abstract
We consider quantum spins with S≥1, and two-body interactions with O(2S+1) symmetry. We discuss the ground state phase diagram of the one-dimensional system. We give a rigorous proof of dimerization for an open region of the phase diagram, for S sufficiently large. We also prove the existence of a gap for excitations.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QC Physics | ||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Dimerization , Quantum theory, Quantum theory -- Mathematical models, Nuclear spin , Mathematical physics | ||||||||||||
Journal or Publication Title: | Communications in Mathematical Physics | ||||||||||||
Publisher: | Springer | ||||||||||||
ISSN: | 0010-3616 | ||||||||||||
Official Date: | October 2021 | ||||||||||||
Dates: |
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Volume: | 387 | ||||||||||||
Page Range: | pp. 1151-1189 | ||||||||||||
DOI: | 10.1007/s00220-021-04148-1 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
Date of first compliant deposit: | 7 July 2021 | ||||||||||||
Date of first compliant Open Access: | 27 August 2021 | ||||||||||||
RIOXX Funder/Project Grant: |
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