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

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

2009-01-14

arxiv.org/abs/0901.2019v1

Phys. Rev. B 79, 195119 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 15 figures

Scientific paper

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.

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