2011/03/08 by Cenke Xu, Leon Balents
Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Condensed matter physics #Ising model #Lattice (music) #Materials science #Molecule #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Square lattice #Valence (chemistry) #Valence bond theory #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.84.014402
published as Phys. Rev. B 84, 014402 (2011) · 9 pages, 4 figures
arxiv created 2011/03/08 · openalex publication_date 2011/07/15 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by recent numerical results, we study the quantum phase transitions between Z2 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 XY-order parameter with ZN 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.