Numerical evidence for the spin-Peierls state in the frustrated quantum antiferromagnet.

  title={Numerical evidence for the spin-Peierls state in the frustrated quantum antiferromagnet.},
  author={Leung and Lam},
  journal={Physical review. B, Condensed matter},
  volume={53 5},
  • Leung, Lam
  • Published 1 August 1995
  • Physics
  • Physical review. B, Condensed matter
We study the spin-1/2 Heisenberg antiferromagnet with an antiferromagnetic ${\mathit{J}}_{3}$ (third-nearest-neighbor) interaction on a square lattice. We numerically diagonalize this ``${\mathit{J}}_{1}$-${\mathit{J}}_{3}$'' model on clusters up to 32 sites and search for ground-state properties as the frustration parameter ${\mathit{J}}_{3}$/${\mathit{J}}_{1}$ changes. For ``larger'' ${\mathit{J}}_{3}$/${\mathit{J}}_{1}$ we find enhancement of the incommensurate spin order, in agreement with… 
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