三维蜂窝状梯形晶格上的伊辛模型：基态问题的解及对SrRE $_2$ O $_4$和BaRE $_2$ O $_4$磁体的应用
An Ising model on a 3D honeycomb zigzag-ladder lattice: a solution to the ground-state problem and application to the SrRE$_2$O$_4$ and BaRE$_2$O$_4$ magnets
摘要：
本文给出了外场作用下具有两种格点的三维蜂窝梯形格点上伊辛模型的基态问题的精确解（不完全解），结果表明三角形单元的几何挫折导致了各种磁相的出现。其中大多数是部分无序的（高度简并）。理论结果被用来解释实验观察到的相变的蜂窝状梯形磁体的序列，并预测新的相的出现。
英文摘要：
An exact solution (incomplete) of the ground-state problem for an Ising model in an external field on a 3D honeycomb zigzag-ladder lattice with two types of sites is found. It is shown that the geometrical frustration due to the presence of triangle elements leads to the emergence of a variety of magnetic phases. The majority of these are partially disordered (highly degenerate). The theoretical results are used to explain the sequence of experimentally observed phase transitions in the honeycomb zigzag-ladder magnets and to predict the appearance of new phases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
