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Published July 1, 2011 | Published
Journal Article Open

Variational study of J_(1)-J_(2) Heisenberg model on kagome lattice using projected Schwinger-boson wave functions

Abstract

Motivated by the unabating interest in the spin-1/2 Heisenberg antiferromagnetic model on the kagome lattice, we investigate the energetics of projected Schwinger-boson (SB) wave functions in the J_(1)-J_(2) model with antiferromagnetic J_(2) coupling. Our variational Monte Carlo results show that Sachdev's Q_(1)=Q_(2) SB ansatz has a lower energy than the Dirac spin liquid for J_(2) ≳ 0.08J_(1) and the q=0 Jastrow-type magnetically ordered state. This work demonstrates that the projected SB wave functions can be tested on the same footing as their fermionic counterparts.

Additional Information

© 2011 American Physical Society. Received 31 March 2011; published 13 July 2011. O.I.M. would like to acknowledge the KITP program "DisentanglingQuantum Many-body Systems: Computational and Conceptual Approaches" and thank many participants for discussions, and in particular to Steven White for the inspiring informal rerun of his talk and for sharing new results. The research is supported by the NSF through Grant No. DMR-0907145 and the A. P. Sloan Foundation.

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