Title: Theory of Intrinsic Phonon Thermal Hall Effect in $α$-RuCl$_3$ Show Chinese title

Title: $α$- RuCl$_3$中本征声子热霍尔效应理论

Abstract: We apply a recently developed first-principles based approach for treating generic spin-phonon couplings in materials with strong spin-orbit coupling to study $\alpha$-RuCl$_3$. Of particular focus is the potential for this material to exhibit a phonon thermal Hall effect induced by spin-phonon interactions. We find that spin-orbit coupling significantly enriches the form of these interactions, and imbues them with chirality that is conducive to generating finite phonon Berry curvatures. We show that this leads to a phonon thermal Hall effect that qualitatively reproduces the measured field dependence of $\kappa_{xy}$ without requiring a field-induced spin liquid. Show Chinese abstract

Abstract: 我们应用一种基于第一性原理的最新方法来处理具有强自旋轨道耦合材料中的通用自旋-声子耦合，以研究$\alpha$-RuCl$_3$。 特别关注的是这种材料可能表现出由自旋-声子相互作用诱导的声子热霍尔效应。 我们发现自旋轨道耦合显著丰富了这些相互作用的形式，并赋予它们有利于产生有限声子Berry曲率的 handedness（手征性）。 我们证明这会导致一个声子热霍尔效应，其定性再现了$\kappa_{xy}$的测量磁场依赖性，而无需磁场诱导的自旋液体。