Weak plaquette valence bond order in the S=1/2 honeycomb J 1-J2 heisenberg model

Zhenyue Zhu, David A. Huse, Steven R. White

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Using the density matrix renormalization group, we investigate the S=1/2 Heisenberg model on the honeycomb lattice with first (J1) and second (J2) neighbor 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 J2â‰0.26 and by a valence bond crystal for J2â‰0.36. The longest correlation length that we find in this intermediate phase is for plaquette valence bond order. This correlation length grows strongly with cylinder circumference, indicating either quantum criticality or weak plaquette valence bond order.

Original languageEnglish (US)
Article number127205
JournalPhysical review letters
Issue number12
StatePublished - Mar 20 2013

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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