标题： 晶体固体中铁磁体和反铁磁体的有效场论方法 显示英文标题

标题： Effective Field Theory Approach to Ferromagnets and Antiferromagnets in Crystaline Solids

摘要： 我们系统地构建了有效拉格朗日量，用于晶体固体中铁磁和反铁磁自旋波在低能和低动量区域的行为。 我们充分利用了自发对称破缺模式$SU(2)\to U(1)$，自旋波为其相关的Goldstone模的事实，以及晶体空间群和时间反演对称性。 我们展示了如何引入由于自旋轨道和磁偶极相互作用引起的显式的SU(2)破缺项。 还详细讨论了与电磁场的耦合。 为了明确起见，我们使用空间群$R\bar 3 c$，并将结果推导至次领头阶。 显示英文摘要

摘要： We present a systematic construction of effective lagrangians for the low energy and momentum region of ferromagnetic and antiferromagnetic spin waves in crystalline solids. We fully exploit the spontaneous symmetry breaking pattern $SU(2)\to U(1)$, the fact that spin waves are its associated Goldstone modes, the crystallographic space group and time reversal symmetries. We show how to include explicit SU(2) breaking terms due to spin-orbit and magnetic dipole interactions. The coupling to electromagnetic fields is also discussed in detail. For definiteness we work with the space group $R\bar 3 c$ and present our results to next to leading order.