Coexistence of long-range and algebraic correlations for short-range valence-bond wave functions in three dimensions

Abstract

We investigate nearest-neighbor valence-bond wave functions on bipartite three-dimensional lattices. By performing large-scale Monte Carlo simulations, we find that long-range magnetic order coexists with dipolar four-spin correlations on the cubic lattice, this latter feature being reminiscent of the Coulomb phase for classical dimers on the same lattice. Similar properties are found for the lower-coordination diamond lattice. While this suggests that the coexistence of magnetic order and dipolar four-spin correlations is generic for bipartite three-dimensional lattices, we show that simple generalizations of these wave functions can encode different ordering behaviors.

4+ pages, 5 figures. Updated version, to appear in Phys. Rev. Lett

References in corpus (8)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Criticality, the area law, and the computational power of PEPS
• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Some formal results for the valence bond basis
• Unconventional continuous phase transition in a three dimensional dimer model
• Correlations and confinement in non-planar two-dimensional dimer models
• Critical Correlations for Short-Range Valence-Bond Wave Functions on the Square Lattice