Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 387, Issue 2, Pages 1151-1189Publisher
SPRINGER
DOI: 10.1007/s00220-021-04148-1
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Funding
- Simons Foundation through the Simons-CRM scholar-in-residence program
- Vetenskapsradet [2015-0519, 2019-04185]
- Ruth och Nils-Erik Stenbacks stiftelse
- National Science Foundation [DMS-1813149]
- Swedish Research Council [2019-04185] Funding Source: Swedish Research Council
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The study focuses on quantum spins with S ≥ 1 and two-body interactions with O (2S + 1) symmetry in a one-dimensional system. A rigorous proof of dimerization within an open region of the phase diagram for sufficiently large S is presented, along with the proof of the existence of a gap for excitations.
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.
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