School of Natural Sciences, Far Eastern Federal University, Vladivostok, Sukhanova 8, 690091, Russian Federation.
Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Science, Vladivostok, Radio 7, 690041, Russian Federation.
Phys Rev E. 2017 May;95(5-1):052132. doi: 10.1103/PhysRevE.95.052132. Epub 2017 May 22.
We use a Monte Carlo simulation to study the diluted antiferromagnetic Ising model on frustrated lattices including the pyrochlore lattice to show the dilution effects. Using the Wang-Landau algorithm, which directly calculates the energy density of states, we accurately calculate the entropy of the system. We discuss the nonmonotonic dilution concentration dependence of residual entropy for the antiferromagnetic Ising model on the pyrochlore lattice, and compare it to the generalized Pauling approximation proposed by Ke et al. [Phys. Rev. Lett. 99, 137203 (2007)PRLTAO0031-900710.1103/PhysRevLett.99.137203]. We also investigate other frustrated systems, the antiferromagnetic Ising model on the triangular lattice and the kagome lattice, demonstrating the difference in the dilution effects between the system on the pyrochlore lattice and that on other frustrated lattices.
我们使用蒙特卡罗模拟研究了包括反铁磁体 pyrochlore 晶格在内的受挫晶格上的稀释反铁磁伊辛模型，以展示稀释效应。我们使用直接计算态密度能量的 Wang-Landau 算法，准确地计算了系统的熵。我们讨论了反铁磁伊辛模型在 pyrochlore 晶格上的残余熵随稀释浓度的非单调变化，并将其与 Ke 等人提出的广义 Pauling 近似[Phys. Rev. Lett. 99, 137203 (2007)PRLTAO0031-900710.1103/PhysRevLett.99.137203]进行了比较。我们还研究了其他受挫系统，如三角晶格和 kagome 晶格上的反铁磁伊辛模型，展示了 pyrochlore 晶格上的系统与其他受挫晶格上的系统在稀释效应方面的差异。
