Dimerization in Quantum Spin Chains with O(n) Symmetry
Journal article, 2021
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.
Author
Jakob Björnberg
Chalmers, Mathematical Sciences, Analysis and Probability Theory
University of Gothenburg
Peter Muhlbacher
The University of Warwick
Bruno Nachtergaele
University of California at Davis
Daniel Ueltschi
The University of Warwick
Communications in Mathematical Physics
0010-3616 (ISSN) 1432-0916 (eISSN)
Vol. 387 2 1151-1189Subject Categories
Geometry
Other Physics Topics
DOI
10.1007/s00220-021-04148-1