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

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

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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 - Jan 1 1990

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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    Figueirido, F., Karlhede, A., Kivelson, S., Sondhi, S. L., Rocek, M., & Rokhsar, D. S. (1990). Exact diagonalization of finite frustrated spin-(1/2 Heisenberg models. Physical Review B, 41(7), 4619-4632. https://doi.org/10.1103/PhysRevB.41.4619