论文标题
手性磁性：几何视角
Chiral magnetism: a geometric perspective
论文作者
论文摘要
我们讨论了手性铁磁学的几何观点。就像重力成为时空曲率在相对论中的效果一样，dzyaloshinski-moriya相互作用是在具有非平行自旋平行转运的海森伯格模型中产生的。 dzyaloshinskii-moriya载体是背景（3）量规场。在2个空间维度中，当施加的磁场匹配仪表曲率时，该模型可以部分解决。在此特殊点，Bogomolny方程的解决方案是模型的精确激发态。我们以Skyrmion晶体的形式构造一个分离状态，并通过Monte Carlo模拟确认其生存能力。几何透视图提供了磁性重要问题的见解，例如在存在手性相互作用的情况下旋转电流的保护。
We discuss a geometric perspective on chiral ferromagnetism. Much like gravity becomes the effect of spacetime curvature in theory of relativity, the Dzyaloshinski-Moriya interaction arises in a Heisenberg model with nontrivial spin parallel transport. The Dzyaloshinskii-Moriya vectors serve as a background SO(3) gauge field. In 2 spatial dimensions, the model is partly solvable when an applied magnetic field matches the gauge curvature. At this special point, solutions to the Bogomolny equation are exact excited states of the model. We construct a variational ground state in the form of a skyrmion crystal and confirm its viability by Monte Carlo simulations. The geometric perspective offers insights into important problems in magnetism, e.g., conservation of spin current in the presence of chiral interactions.
