On bipartite Rokhsar-Kivelson points and Cantor deconfinement

Simple item page
dc.creatorFradkin, Eduardo
dc.creatorHuse, David A.
dc.creatorMoessner, R.
dc.creatorOganesyan, V.
dc.creatorSondhi, S. L.
dc.date2003-11-14
dc.date2004-04-29
dc.date.accessioned2026-07-07T02:54:46Z
dc.date.available2026-07-07T02:54:46Z
dc.descriptionQuantum 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.
dc.description9 pages; expanded version to appear in Phys. Rev. B; presentation improved
dc.identifierhttps://arxiv.org/abs/cond-mat/0311353
dc.identifierhttp://arxiv.org/abs/cond-mat/0311353
dc.identifierPhys. Rev. B 69, 224415 (2004)
dc.identifierdoi:10.1103/PhysRevB.69.224415
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22694
dc.subjectStatistical Mechanics
dc.subjectSuperconductivity
dc.titleOn bipartite Rokhsar-Kivelson points and Cantor deconfinement
dc.typetext

Files

Collections

arXiv