We investigate separability and entanglement of Rokhsar-Kivelson (RK) states and
resonating valence-bond (RVB) states. These states play a prominent role in condensed …

We show that critical exponents of the transition to columnar order in a mixture of 2× 1
dimers and 2× 2 hard squares on the square lattice depends on the composition of the …

We study resonating-valence-bond (RVB) states on the square lattice of spins and of dimers,
as well as SU (N)-invariant states that interpolate between the two. These states are ground …

A one-parameter family of long-range resonating-valence-bond (RVB) state on the square
lattice was previously proposed to describe a critical spin liquid (SL) phase of the spin-1/2 …

We use Monte Carlo simulations and tensor network methods to study a classical monomer-
dimer model on the square lattice with a hole (monomer) fugacity z, an aligning dimer-dimer …

We study phases and transitions of the square-lattice double dimer model, consisting of two
coupled replicas of the classical dimer model. As on the cubic lattice, we find a thermal …

In this work, some classical results of the pfaffian theory of the dimer model based on the
work of Kasteleyn, Fisher and Temperley are introduced in a fermionic framework. Then we …

The classic combinatorial construct of maximum matchings probes the random geometry of
regions with local sublattice imbalance in a site-diluted bipartite lattice. We demonstrate that …

We study the response of critical resonating valence bond (RVB) spin liquids to doping with
longer-range singlets, and more generally of U (1)-symmetric tensor networks to …

We investigate nearest-neighbor valence-bond wave functions on bipartite three-
dimensional lattices. By performing large-scale Monte Carlo simulations, we find that long …