Infinite geometric frustration in a cubic dipole cluster
Infinite geometric frustration in a cubic dipole cluster
复制标题
立方偶极子簇中的无限几何挫败
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
I. Rehberg
中科院分区：
文献类型：
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作者：
J. Schonke;T. Schneider;I. Rehberg
相互作用（磁）偶极子的几何排列是物理、化学和工程学中一个至关重要的问题。在磁结构自组装最新进展的推动下，详细研究了立方簇中八个相互作用偶极子的平衡方向。我们发现一种由无限多个方向组成的基态，而不是离散平衡。这种能量简并态的连续体代表了一种未知形式的磁挫败。这种戈德斯通模式的平坦势谷中相应的偶极子旋转使得能够构造无摩擦磁耦合。使用计算机辅助代数几何方法，我们还完整地枚举了所有平衡配置。这个看似简单的立方系统恰好允许 9536 个不稳定离散平衡，分为 183 个不同的能量族。
The geometric arrangement of interacting (magnetic) dipoles is a question of fundamental importance in physics, chemistry, and engineering. Motivated by recent progress concerning the self-assembly of magnetic structures, the equilibrium orientation of eight interacting dipoles in a cubic cluster is investigated in detail. Instead of discrete equilibria we find a type of ground state consisting of infinitely many orientations. This continuum of energetically degenerate states represents a yet unknown form of magnetic frustration. The corresponding dipole rotations in the flat potential valley of this Goldstone mode enable the construction of frictionless magnetic couplings. Using computer-assisted algebraic geometry methods, we moreover completely enumerate all equilibrium configurations. The seemingly simple cubic system allows for exactly 9536 unstable discrete equilibria falling into 183 distinct energy families.
影响因子：
56.9
作者：
Romming, Niklas;Hanneken, Christian;Wiesendanger, Roland
通讯作者：
Wiesendanger, Roland