Interface free energy and critical line for the ising model with nearest and next-nearest-neighbor interactions
Interface free energy and critical line for the ising model with nearest and next-nearest-neighbor interactions
复制标题
具有最近和次近邻相互作用的 ising 模型的界面自由能和临界线
DOI：
10.1007/bf01313197
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发表时间：
1978
期刊：
影响因子：
--
通讯作者：
T. Burkhardt
中科院分区：
文献类型：
--
作者：
T. Burkhardt
用Müler-Hartmann和Zittartz提出的方法计算了近邻和次近邻相互作用的正方形晶格上Ising模型中对角界面的自由能。不是解决全部问题，而是只考虑接口配置的一个简单子集。这个子集与Müler-Hartmann和Zittartz所考虑的子集略有不同，它的选择方式是，如果系统只有最近的或只有次最近邻的相互作用，界面自由能的准确结果是重现的。当通过要求作为两个耦合的函数的界面自由能为零而获得铁磁相变的临界线时，获得了令人惊讶的精确近似。
A method due to Müller-Hartmann and Zittartz is used to calculate the free energy of a diagonal interface in an Ising model on a square lattice with interactions between nearest and next-nearest neighbors. Instead of solving the full bulk problem, one only takes into account a simple subset of interface configurations. The subset, which is somewhat different from that considered by Müller-Hartmann and Zittartz, is chosen in such a way that exact results for the interface free energy are reproduced if the system has only nearest or only next-nearest-neighbor interactions. When the critical line of ferromagnetic transitions is obtained by demanding that the interface free energy as a function of both couplings vanish, a surprisingly accurate approximation is obtained.