Exact diagonalization of finite frustrated spin-(1/2 Heisenberg models

F. Figueirido, A. Karlhede, S. Kivelson, Shivaji Lal Sondhi, M. Rocek, D. S. Rokhsar

Research output: Contribution to journalArticlepeer-review

128 Scopus citations


We have studied the spectrum of low-spin eigenstates of a spin-(1/2 Heisenberg model on 4×4 square lattices with up to third-neighbor antiferromagnetic exchange interactions. We have computed the staggered susceptibility, spin-spin correlation function, and the overlap of the exact ground state with various variational spin-density-wave ordered states as well as with the equal-amplitude, nearest-neighbor resonating-valence-bond state (which is the prototypical short-ranged RVB state). We find evidence for a complicated phase diagram with a region in which a short-ranged RVB state may be the ground state.

Original languageEnglish (US)
Pages (from-to)4619-4632
Number of pages14
JournalPhysical Review B
Issue number7
StatePublished - 1990

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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