A worm algorithm for the fully-packed loop model

作者：Zhang, Wei; Garoni, Timothy M^*; Deng, Youjin

来源：Nuclear Physics B, 2009, 814(3): 461-484.

DOI：10.1016/j.nuclphysb.2009.01.007

• Monte Carlo
• Worm algorithm
• Fully-packed loop model

We present a Markov-chain Monte Carlo algorithm of worm type that correctly simulates the fully packed loop model with n = 1 on the honeycomb lattice, and vie prove that it is ergodic and has uniform stationary distribution. The honeycomb-lattice fully-packed loop model with n = 1 is equivalent to the zero-temperature triangular-lattice antiferromagnetic Ising model, which is fully frustrated and notoriously difficult to simulate. We test this worm algorithm numerically and estimate the dynamic exponent z(exp) = 0.515(8). We also measure several static quantities of interest, including loop-length and face-size moments. It appears numerically that the face-size, moments are governed by the magnetic dimension for percolation.

• 出版日期2009-6-21
• 单位暨南大学; 中国科学技术大学