Cluster Monte Carlo Algorithm for the Quantum Rotor Model

Details Cluster Monte Carlo Algorithm for the Quantum Rotor Model Cluster Monte Carlo Algorithm for the Quantum Rotor Model

2002-11-13

arxiv.org/abs/cond-mat/0211262v2

Phys. Rev. E 67, 015701(R) (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures

Scientific paper

10.1103/PhysRevE.67.015701

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 $\nu=1.15(10)$.

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