Exact Realization of a Quantum-Dimer Model in Heisenberg Antiferromagnets on a Diamond-Like Decorated Lattice

TL;DR

This paper demonstrates how to realize a quantum-dimer model exactly within Heisenberg antiferromagnets on a decorated lattice, providing insights into phase stabilization and experimental implementation.

Contribution

It presents a method to derive an exact quantum-dimer model from Heisenberg antiferromagnets on a decorated lattice, enabling potential experimental realization.

Findings

Derived a square-lattice quantum-dimer model with finite hopping and no repulsion.

Suggests stabilization of the plaquette phase in the studied system.

Provides a general recipe for constructing quantum-dimer models on other lattices.

Abstract

We study Heisenberg antiferromagnets on a diamond-like decorated square lattice perturbed by further neighbor couplings. The second-order effective Hamiltonian is calculated and the resultant Hamiltonian is found to be a square-lattice quantum-dimer model with a finite hopping amplitude and no repulsion, which suggests the stabilization of the plaquette phase. Our recipe for constructing quantum-dimer models can be adopted for other lattices and provides a route for the experimental realization of quantum-dimer models.