锯齿形梯形晶格上经典海森堡自旋的无公度单角螺旋序
Incommensurate Single-Angle Spiral Orderings of Classical Heisenberg Spins on Zigzag Ladder Lattices
摘要：
用一种非常简单的方法，利用簇方法，得到了具有最近邻相互作用的经典海森堡模型在由锯齿形（三角形）阶梯组成的二维和三维晶格上基态问题的精确和严格解.它示出了如何几何挫折，由于存在的三角形作为结构单元导致出现不相称的螺旋排序和共线的限制。有趣的是，这些排序是由一个单一的角度（以及相邻自旋之间的相互作用的符号）决定的;因此，提出了术语“单角度螺旋排序”。
英文摘要：
Exact and rigorous solutions of the ground-state problem for the classical Heisenberg model with nearest-neighbor interactions on two- and three-dimensional lattices composed of zigzag (triangular) ladders are obtained in a very simple way, with the use of a cluster method. It is shown how the geometrical frustration due to the presence of triangles as structural units leads to the emergence of incommensurate spiral orderings and their collinear limits. Interestingly, these orderings are determined by a single angle (along with the signs of the interactions between neighboring spins); therefore, the term "single-angle spiral orderings" is proposed.
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