A worm algorithm for the fully-packed loop model |
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Authors: | Wei Zhang Timothy M Garoni Youjin Deng |
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Institution: | 1. Department of Physics, Jinan University, Guangzhou 510630, PR China;2. ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia;3. Hefei National Laboratory for Physical Sciences at Microscale, Department of Modern Physics, University of Science and Technology of China, Hefei, 230027, PR China |
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Abstract: | 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 we 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 zexp=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. |
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Keywords: | 02 70 Tt 05 10 Ln 64 60 De 64 60 F- |
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