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arXiv 2108.08374cond-mat.mtrl-scicond-mat.other
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反铁磁绝缘体中磁振子的热压缩和非线性谱移

Thermal squeezing and nonlinear spectral shift of magnons in antiferromagnetic insulators

Mahroo Shiranzaei, Roberto E. Troncoso, Jonas Fransson, Arne Brataas, Alireza Qaiumzadeh

摘要:

研究了有限温度下磁振子-磁振子相互作用对共线反铁磁绝缘体中磁振子色散和极化的影响。在具有单轴或双轴磁晶各向异性的双子晶格AF系统中,我们采用自洽的Hartree-Fock平均场近似来研究非线性热相互作用。由此产生的非线性磁振子相互作用分离成两个磁振子带内和带间散射过程。此外,我们计算了正方形和六边形晶格的磁振子带隙和AF共振模式的温度依赖性,由于非线性磁振子相互作用。此外,我们还研究了磁振子相互作用对磁振子模极化的影响。我们发现,虽然在单轴情况下,非相互作用本征模是圆极化的,但在非线性热相互作用存在时,哈密顿量的局部U(1)对称性被破缺。吸引的非线性相互作用挤压低能磁振子模,使其成为椭圆形。在双轴的情况下,另一方面,裸本征模的低能量磁振子椭圆极化,但热非线性相互作用挤压他们进一步。预测的温度依赖性AF共振模式和它们的偏振的直接测量可以用作探测非线性相互作用的工具。我们的研究结果建立了一个框架,探索热磁振子相互作用的影响,在技术上重要的磁系统,如最近发现的二维磁性材料的磁稳定性,磁振子的相干输运,磁振子的玻色-爱因斯坦凝聚,和磁振子拓扑绝缘体。

英文摘要:

We investigate the effect of magnon-magnon interactions on the dispersion and polarization of magnons in collinear antiferromagnetic (AF) insulators at finite temperatures. In two-sublattice AF systems with either uniaxial or biaxial magnetocrystalline anisotropies, we implement a self-consistent Hartree-Fock mean-field approximation to explore the nonlinear thermal interactions. The resulting nonlinear magnon interactions separate into two-magnon intra- and interband scattering processes. Furthermore, we compute the temperature dependence of the magnon bandgap and AF resonance modes due to nonlinear magnon interactions for square and hexagonal lattices. In addition, we study the effect of magnon interactions on the polarization of magnon modes. We find that although the noninteracting eigenmodes in the uniaxial case are circularly polarized, but in the presence of nonlinear thermal interactions the local U(1) symmetry of the Hamiltonian is broken. The attractive nonlinear interactions squeeze the low-energy magnon modes and make them elliptical. In the biaxial case, on the other hand, the bare eigenmodes of low energy magnons are elliptically polarized but thermal nonlinear interactions squeeze them further. Direct measurements of the predicted temperature-dependent AF resonance modes and their polarization can be used as a tool to probe the nonlinear interactions. Our findings establish a framework for exploring the effect of thermal magnon interactions in technologically important magnetic systems, such as magnetic stability of recently discovered two-dimensional magnetic materials, coherent transport of magnons, Bose-Einstein condensation of magnons, and magnonic topological insulators.

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