# Exact results for SU(3) spin chains: Trimer states, valence bond solids, and their parent Hamiltonians

@article{Greiter2007ExactRF, title={Exact results for SU(3) spin chains: Trimer states, valence bond solids, and their parent Hamiltonians}, author={Martin Greiter and Stephan Rachel and Dirk Schuricht}, journal={Physical Review B}, year={2007}, volume={75}, pages={060401} }

Beginning with the invention of the Bethe ansatz in 1931 1 as a method to solve the S = 1 Heisenberg chain with nearest neighbor interactions, a significant share of the entire effort in condensed matter physics has been devoted to the study of quantum spin chains. Faddeev and Takhtajan 2 discovered in 1981 that the elementary excitations now called spinons of the spin-1 / 2 Heisenberg chain carry spin 1 / 2 while the Hilbert space is spanned by spin flips, which carry spin 1. The fractional… Expand

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