2012/12/31 by Zhenyue Zhu, David A. Huse, Steven R. White · 1 citation
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.110.127205
published as Phys. Rev. Lett. 110, 127205 (2013) · 9 pages, 15 figures, minor changes are made for publication in Phys. Rev. Lett
arxiv created 2013/03/22 · arxiv updated 2013/03/25
Using the density matrix renormalization group, we investigate the S=1/2 Heisenberg model on the honeycomb lattice with first- (J1) and second-neighbor (J2) interactions. We are able to study long open cylinders with widths up to 12 lattice spacings. For J2/J1 near 0.3, we find an apparently paramagnetic phase, bordered by an antiferromagnetic phase for J2\lesssim 0.26 and by a valence bond crystal for J2\gtrsim 0.36. The longest correlation length that we find in this intermediate phase is for plaquette valence bond (PVB) order. This correlation length grows strongly with cylinder circumference, indicating either quantum criticality or weak PVB order.