Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J_1−J_2 Square Heisenberg Model
Abstract
We study the spin-1/2 Heisenberg model on the square lattice with first- and second-neighbor antiferromagnetic interactions J_1 and J_2, which possesses a nonmagnetic region that has been debated for many years and might realize the interesting Z_2 spin liquid. We use the density matrix renormalization group approach with explicit implementation of SU (2) spin rotation symmetry and study the model accurately on open cylinders with different boundary conditions. With increasing J_2 , we find a Néel phase and a plaquette valence-bond (PVB) phase with a finite spin gap. From the finite-size scaling of the magnetic order parameter, we estimate that the Néel order vanishes at J_2 /J _1 ≃0.44. For 0.5
Additional Information
© 2014 American Physical Society. Received 8 February 2014; Revised manuscript received 7 May 2014; Published 7 July 2014. We would like to particularly thank H.-C. Jiang and L. Balents for extensive discussions. We also acknowledge stimulating discussions with K. S. D. Beach, Z.-C. Gu, W.-J. Hu, L. Wang, S. White, Z.-Y. Zhu, and A. Sandvik. This research is supported by the National Science Foundation through Grants No. DMR-1205734 (S.-S. G.), No. DMR-0906816 (D. N. S.), No. DMR-1206096 (O. I.M.), No. DMR-1101912 (M. P. A. F.), the U.S. Department of Energy, Office of Basic Energy Sciences under Grant No. DE-FG02-06ER46305 (W. Z), and the Caltech Institute of Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation (O. I.M. and M. P. A. F.).Attached Files
Published - PhysRevLett.113.027201.pdf
Submitted - 1311.5962v1.pdf
Supplemental Material - supp.zip
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Additional details
- Alternative title
- Plaquette ordered phase and quantum spin liquid in the spin-1/2 J_1-J_2 square Heisenberg model
- Eprint ID
- 47177
- Resolver ID
- CaltechAUTHORS:20140714-131011965
- DMR-1205734
- NSF
- DMR-0906816
- NSF
- DMR-1206096
- NSF
- DMR-1101912
- NSF
- DE-FG02-06ER46305
- Department of Energy (DOE)
- Institute for Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- Created
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2014-07-14Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter