Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-11-14
Phys. Rev. B 69, 224415 (2004)
Physics
Condensed Matter
Statistical Mechanics
9 pages; expanded version to appear in Phys. Rev. B; presentation improved
Scientific paper
10.1103/PhysRevB.69.224415
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.
Fradkin Eduardo
Huse David A.
Moessner Richhild
Oganesyan Vadim
Sondhi Shivaji L.
No associations
LandOfFree
On bipartite Rokhsar-Kivelson points and Cantor deconfinement does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On bipartite Rokhsar-Kivelson points and Cantor deconfinement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On bipartite Rokhsar-Kivelson points and Cantor deconfinement will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-270468