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Published October 29, 2013 | Published + Submitted
Journal Article Open

Phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on a honeycomb lattice

Abstract

We use the density matrix renormalization group (DMRG) algorithm to study the phase diagram of the spin-1/2 Heisenberg model on a honeycomb lattice with first (J_1) and second (J_2) neighbor antiferromagnetic interactions, where a Z_2 spin liquid region has been proposed. By implementing SU(2) symmetry in the DMRG code, we are able to obtain accurate results for long cylinders with a width slightly over 15 lattice spacings and a torus up to the size N=2×6×6. With increasing J_2, we find a Néel phase with a vanishing spin gap and a plaquette valence-bond (PVB) phase with a nonzero spin gap. By extrapolating the square of the staggered magnetic moment m_s^2 on finite-size cylinders to the thermodynamic limit, we find the Néel order vanishing at J_2/J_1≃0.22. For 0.25

Additional Information

© 2013 American Physical Society. Received 3 July 2013; published 29 October 2013. We would like to thank Z.-Y. Zhu, S. White, and D. Huse for extensive discussions of their related work. We also acknowledge stimulating discussions with L. Balents, B. Clark, H.-C. Jiang, A. Vishwanath, C.-K. Xu, and Z.-C. Gu. S.-S. Gong thanks J.-Z. Zhao for help in developing DMRG code. This research is supported by the National Science Foundation through Grants No. DMR-0906816 (S.S.G. and D.N.S.), No.DMR-1206096 (O.I.M.), and No.DMR-1101912 (M.P.A.F.), and by the Caltech Institute of Quantum Information and Matter, an NSF Physics Frontiers Center with support from the Gordon and Betty Moore Foundation (O.I.M. and M.P.A.F.).

Attached Files

Published - PhysRevB.88.165138.pdf

Submitted - 1306.6067v2.pdf

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Additional details

Created:
August 19, 2023
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October 25, 2023