Emergent Rokhsar-Kivelson point in realistic quantum Ising models

Understand

We show that the Rokhsar-Kivelson (RK) point in quantum dimer models (QDM) can emerge in realistic quantum Ising spin systems.

• Specifically, we investigate the $J_1$-$J_2$-$J_3$ transverse field Ising model on the triangular lattice with large-scale quantum Monte Carlo simulations.
• We find that the multicritical point in the phase diagram corresponds to the RK point of the QDM on the honeycomb lattice.
• We further measure the spectral functions and identify three branches of quadratic dispersions.