论文标题
仪表理论应用于磁晶格
Gauge theory applied to magnetic lattices
论文作者
论文摘要
微磁性交换通常是通过在立方晶格上执行海森堡模型的连续限量来得出的，在该晶格上，假定交换积分对所有最近的邻居都相同。这种局限性通常强加使用微观理论来解释高阶磁相互作用的外观，例如Dzyaloshinskii-Moriya相互作用（DMI）。在本文中，我们将图形和规格理论结合在一起，以同时解释晶体的对称性，自旋轨道耦合的效果及其在微磁性水平上的相互作用。我们获得了一个微磁理论，该理论占所有订单的晶体对称约束，并展示了如何在所有32点组中成功预测微磁性DMI的形式。
Micromagnetic exchange is usually derived by performing the continuum limit of the Heisenberg model on a cubic lattice, where the exchange integrals are assumed to be identical for all nearest neighbors. This limitation normally imposes the use of a microscopic theory to explain the appearance of higher order magnetic interactions such as the Dzyaloshinskii-Moriya interaction (DMI). In this paper we combine graph- and gauge field- theory to simultaneously account for the symmetries of the crystal, the effect of spin-orbit coupling and their interplay on a micromagnetic level. We obtain a micromagnetic theory accounting for the crystal symmetry constraints at all orders in exchange and show how to successfully predict the form of micromagnetic DMI in all 32 point groups.
