Exploring frustrated spin systems using projected entangled pair states

V. Murg, F. Verstraete, and J. I. Cirac
Phys. Rev. B 79, 195119 – Published 20 May 2009

Abstract

We study the nature of the ground state of the frustrated J1J2 model and the J1J3 model using a variational algorithm based on projected entangled pair states. By investigating spin-spin correlation functions, we observe a separation in parameter regions with long- 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 parameter regions.

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  • Received 14 January 2009

DOI:https://doi.org/10.1103/PhysRevB.79.195119

©2009 American Physical Society

Authors & Affiliations

V. Murg1, F. Verstraete2, and J. I. Cirac1

  • 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany
  • 2Fakultät für Physik, Universität Wien, Boltzmanngasse 3, A-1090 Wien, Austria

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Issue

Vol. 79, Iss. 19 — 15 May 2009

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