Dimerization in quantum spin chains with O(n) symmetry
MATHEMATICAL PICTURE LANGUAGE
Bruno Nachtergaele - University of California Davis
We consider spin-S quantum spin chains with a family of O(2S+1)-invariant nearest-neighbor interactions and discuss the ground state phase diagram of this family of models. Using a graphical representation for the partition function, we give a proof of dimerization for an open region in the phase diagram, for all sufficiently large values of S. (Joint work with Jakob Bjoernberg, Peter Muehlbacher, and Daniel Ueltschi).