标题： 具有Dzyaloshinskii-Moriya相互作用的Kitaev-Heisenberg蜂窝铁磁体中的相互作用拓扑磁振子 显示英文标题

标题： Interacting topological magnons in the Kitaev-Heisenberg honeycomb ferromagnet with the Dzyaloshinskii-Moriya interaction

摘要： 研究最近引起了对海森堡-基塔耶夫蜂窝铁磁体的兴趣，因为它们具有丰富的拓扑性质。当存在两个或多个不同的拓扑相时，可能会出现拓扑相变，并且通常通过能隙闭合现象来揭示。在本工作中，我们研究了在存在海森堡交换和磁晶各向异性并暴露于磁场的情况下，表现出基塔耶夫和DMI相互作用的蜂窝铁磁体的磁子特性。我们采用自洽重整化（SCR）自旋波理论来研究磁子-磁子相互作用（MMIs）和热涨落对磁子特性的影响。我们的研究结果表明，磁子系统在温度和磁场的作用下会发生拓扑相变，这归因于MMIs。具体来说，随着温度的升高，狄拉克点处的磁子带隙关闭并在临界温度Tc重新打开，该温度低于居里温度。通过显示磁子带的陈数在Tc上下不同，我们确认能隙闭合现象确实是拓扑相变的特征。此外，我们的分析表明，在磁子系统中，热霍尔电导率在Tc处出现符号反转，这可以作为其拓扑性质的实验探测手段。 显示英文摘要

摘要： The study of the Heisenberg-Kitaev honeycomb ferromagnets has recently drawn attention because of their rich topological properties. Topological phase transitions may arise when there exist two or more distinct topological phases, and they are often revealed by a gap-closing phenomenon. In this work, we investigate the magnonic properties of honeycomb ferromagnets exhibiting Kitaev and DMI interactions in the presence of a Heisenberg exchange and magnetocrystalline anisotropy exposed to a magnetic field. We employ the Self-Consistent Renormalization (SCR) spin wave theory to investigate the effects of magnon-magnon interactions (MMIs) and thermal fluctuations on the properties of magnons. Our findings demonstrate that the magnon system undergoes topological phase transitions driven by temperature and magnetic fields, which are attributed to MMIs. Specifically, as the temperature rises, the magnon band gap at the Dirac points closes and reopens at the critical temperature Tc , which is below the Curie temperature. By showing that the Chern numbers of the magnonic bands are distinct above and below Tc , we confirm that the gap-closing phenomenon is indeed a signature for the topological phase transitions. Furthermore, our analysis indicates that the thermal Hall conductivity in the magnonic system exhibits a sign reversal at Tc , which can serve as an experimental probe of its topological nature.