论文标题

沮丧的蜂窝旋转系统中的热厅反应

Thermal Hall responses in frustrated honeycomb spin systems

论文作者

Fujiwara, Kosuke, Kitamura, Sota, Morimoto, Takahiro

论文摘要

我们研究由沮丧的自旋系统中温度梯度驱动的镁质的几何响应。虽然dzyaloshinskii-moriya(DM)相互作用通常被纳入以获得几何元元声带,但在这里,我们研究了不依赖DM相互作用的镁的热霍尔响应。具体而言,我们专注于具有sublattice自由度的沮丧的旋转系统,并表明非零浆果曲率需要破坏有效的$ pt $对称性。根据这种对称的考虑,我们研究了$ j_1 $ - $ j_2 $ - $ j_2^\ prime $ $ $ heisenberg型号作为代表性的示例,并证明,一旦我们引入了两个sublattices之间的磁场和非对称性,螺旋相中的磁蛋白会支持热厅效应。我们还表明,通过温度梯度驱动镁,在$ J_1 $ -J_2 $ -J_2 $ -J_2^\ PRIME $ HEISENBERG型号中诱导旋转电流(即Magnon Spin Nernst效果)。

We study geometrical responses of magnons driven by a temperature gradient in frustrated spin systems. While Dzyaloshinskii-Moriya (DM) interactions are usually incorporated to obtain geometrically nontrivial magnon bands, here we investigate thermal Hall responses of magnons that do no rely on the DM interactions. Specifically, we focus on frustrated spin systems with sublattice degrees of freedom and show that a nonzero Berry curvature requires breaking of an effective $PT$ symmetry. According to this symmetry consideration, we study the $J_1$-$J_2$-$J_2^\prime$ Heisenberg models on a honeycomb lattice as a representative example, and demonstrate that magnons in the spiral phase support the thermal Hall effect once we introduce a magnetic field and asymmetry between the two sublattices. We also show that driving the magnons by a temperature gradient induces spin current generation (i.e., magnon spin Nernst effect) in the $J_1$-$J_2$-$J_2^\prime$ Heisenberg models.

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