Cluster Monte Carlo Algorithm for the Quantum Rotor Model

Abstract

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 $\nu =1.15(10)$.

5 pages, 3 figures

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