Exploring frustrated spin systems using projected entangled pair states

Author(s): V. Murg, F. Verstraete, J. I. Cirac

Journal: Phys. Rev. B

Volume: 79

Page(s): 195119

Year: 2009

DOI Number: 10.1103/PhysRevB.79.195119

Link: Link to publication


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.

Note: http://de.arxiv.org/abs/0901.2019

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