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

Gong, Shou-Shu and Sheng, D. N. and Motrunich, Olexei I. and Fisher, Matthew P. A. (2013) Phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on a honeycomb lattice. Physical Review B, 88 (16). Art. No. 165138. ISSN 1098-0121. doi:10.1103/PhysRevB.88.165138.

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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<J_2/J_1≤0.35, we find a possible PVB order, which shows a fast growing PVB decay length with increasing system width. For 0.22<J_2/J_1<0.25, both spin and dimer orders vanish in the thermodynamic limit, which is consistent with a possible spin liquid phase. We present calculations of the topological entanglement entropy, compare the DMRG results with the variational Monte Carlo, and discuss possible scenarios in the thermodynamic limit for this region.

Item Type:Article
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Motrunich, Olexei I.0000-0001-8031-0022
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.).
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:16
Classification Code:PACS: 73.43.Nq, 75.10.Jm, 75.10.Kt
Record Number:CaltechAUTHORS:20131125-113942857
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Official Citation:Phase diagram of the spin-1/2 J1-J2 Heisenberg model on a honeycomb lattice Shou-Shu Gong, D. N. Sheng, Olexei I. Motrunich, and Matthew P. A. Fisher Published 29 October 2013 (13 pages) 165138
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42685
Deposited By: Ruth Sustaita
Deposited On:25 Nov 2013 23:09
Last Modified:10 Nov 2021 16:26

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