Year: 2011
Type: article
Abstract: Motivated by recent numerical results, we study the quantum phase transitions between ${Z}_{2}$ spin-liquid, N\'eel-ordered, and various valence-bond solid (VBS) states on the honeycomb and square lattices, with emphasis on the staggered VBS. In contrast to the well-understood columnar VBS order, the staggered VBS is not described by an $\mathit{XY}$-order parameter with ${Z}_{N}$ anisotropy close to these quantum phase transitions. Instead, we demonstrate that on the honeycomb lattice, the staggered VBS is more appropriately described as an O(3)- or CP(2)-order parameter with cubic anisotropy, while on the square lattice it is described by an O(4)- or CP(3)-order parameter.
Source: Physical Review B
Authors: Cenke Xu, Leon Balents
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W2037510024