Height-conserving quantum dimer models

Abstract

Quantum dimer models (QDM) are paradigmatic models of strongly correlated systems subject to strong local constraints. Bipartite QDMs admit a dual model of surfaces called height field models. By imposing the lattice sum of height fields as a conserved quantity, the authors show that the Hilbert space ``fragments'', i.e. it splits into disconnected subspaces. Using an emergent spin description and Monte Carlo simulations, the authors obtain the distribution of dynamical exponents within different sectors as well as the ground-state phase diagram.

Topics & Concepts