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

  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},
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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