2011/01/11 by Kouki Nakata, Keisuke Totsuka
Chemistry · Physics and Astronomy · #Advanced Condensed Matter Physics #Chemical physics #Chemistry #Condensed matter physics #Degeneracy (biology) #Dimer #Frustration #Molecule #Nuclear magnetic resonance #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum fluctuation #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Valence (chemistry) #Valence bond theory #cond-mat.str-el
paper · pdf · doi:10.1088/1742-5468/2011/01/p01033
published as J. Stat. Mech. (2011) P01033 · 20 pages, 13 figures, accepted for publication in J. Stat. Mech
arxiv created 2011/01/11 · openalex publication_date 2011/01/27 · arxiv updated 2015/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We extend the quantum dimer model (QDM) introduced by Rokhsar and Kivelson so as to construct a concrete example of the model which exhibits the first-order phase transition between different valence-bond solids suggested recently by Batista and Trugman and look for the possibility of other exotic dimer states. We show that our model contains three exotic valence-bond phases (herringbone, checkerboard and dimer smectic) in the ground-state phase diagram and that it realizes the phase transition from the staggered valence-bond solid to the herringbone. The checkerboard phase has four-fold rotational symmetry, while the dimer smectic, in the absence of quantum fluctuations, has massive degeneracy originating from partial ordering only in one of the two spatial directions. A resonance process involving three dimers resolves this massive degeneracy and the dimer smectic becomes ordered (order from disorder).