Bipartite Rokhsar-Kivelson points and Cantor deconfinement
By E. Fradkin, D. Huse, Roderich Moessner, V. Oganesyan, Shiv Sondhi. 2003
144 citations recorded by the source corpus.
Quantum dimer models on bipartite lattices exhibit Rokhsar-Kivelson (RK) points with exactly known critical ground states and deconfined spinons. We examine generic, weak, perturbations around these points. In d=2+1 we find a first order transition between a ``plaquette'' valence bond crystal and a region with a devil's staircase of commensurate and incommensurate valence bond crystals. In the part of the phase diagram where the staircase is incomplete, the incommensurate states exhibit a gapless photon and deconfined spinons on a set of finite measure, almost but not quite a deconfined phase in a compact U(1) gauge theory in d=2+1! In d=3+1 we find a continuous transition between the U(1) resonating valence bond (RVB) phase and a deconfined staggered valence bond crystal. In an appendix we comment on analogous phenomena in quantum vertex models, most notably the existence of a continuous transition on the triangular lattice in d=2+1.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/2b73faab37c269acebb59a74964662edfdf21ab6
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Gapless Symmetry-Protected Topological Order (2017, background): “The stability of this quantum critical point has been studied in various contexts [105, 107, 108] and depends on crystalline symmetries, with the important relevant perturbations in our case being magnetic operators breaking the FPL constraint, and k (∇φ)(2) that makes cos 3φ relevant and opens up a”