English

Exploring frustrated spin-systems using Projected Entangled Pair States (PEPS)

Strongly Correlated Electrons 2013-05-29 v1

Abstract

We study the nature of the ground state of the frustrated J1-J2 model and the J1-J3 model using a variational algorithm based on projected entangled-pair states (PEPS). By investigating spin-spin correlation functions, we observe a separation in regions with long-range and short-range order. A direct comparison with exact diagonalizations in the subspace of short-range valence bond singlets reveals that the system is well described by states within this subset in the short-range order regions. We discuss the question whether the system forms a spin-liquid, a plaquette valence bond crystal or a columnar dimer crystal in these regions.

Keywords

Cite

@article{arxiv.0901.2019,
  title  = {Exploring frustrated spin-systems using Projected Entangled Pair States (PEPS)},
  author = {V. Murg and F. Verstraete and J. I. Cirac},
  journal= {arXiv preprint arXiv:0901.2019},
  year   = {2013}
}

Comments

8 pages, 15 figures

R2 v1 2026-06-21T12:00:42.337Z