Cluster Monte Carlo Algorithm for the Quantum Rotor Model
Résumé
We propose a highly efficient \"worm\" like cluster Monte Carlo algorithm for the quantum rotor model in the link-current representation. We explicitly prove detailed balance for the new algorithm even in the presence of disorder. For the pure quantum rotor model with $\\mu=0$ the new algorithm yields high precision estimates for the critical point $K_c=0.33305(5)$ and the correlation length exponent $\\nu=0.670(3)$. For the disordered case, $\\mu=1/2 \\pm 1/2$, we find $\\nu=1.15(10)$.