Entropy of diluted antiferromagnetic Ising models on frustrated lattices using the Wang-Landau method
Entropy of diluted antiferromagnetic Ising models on frustrated lattices using the Wang-Landau method
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使用 Wang-Landau 方法计算受抑晶格上的稀释反铁磁 Ising 模型的熵
DOI：
10.1103/physreve.95.052132
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发表时间：
2017
影响因子：
2.4
通讯作者：
Okabe Yutaka
中科院分区：
文献类型：
--
作者：
Shevchenko Yuriy;Nefedev Konstantin;Okabe Yutaka
我们使用蒙特卡罗模拟来研究受挫晶格（包括烧绿石晶格）上的稀释反铁磁 Ising 模型，以显示稀释效应。利用直接计算态能量密度的Wang-Landau算法，我们可以准确计算系统的熵。我们讨论了烧绿石晶格上反铁磁 Ising 模型的剩余熵的非单调稀释浓度依赖性，并将其与 Keet 等人提出的广义鲍林近似进行比较。莱特牧师。 99, 137203 (2007)PRLTAO0031-900710.1103/PhysRevLett.99.137203]。我们还研究了其他受挫系统，即三角晶格和戈薇晶格上的反铁磁伊辛模型，证明了系统在烧绿石晶格上与其他受挫晶格上的稀释效应之间的差异。
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 Keet 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.