论文标题
基塔夫 - 海森贝格模型中的现场抑制磁顺序附近的热厅电导率
Thermal Hall conductivity near field-suppressed magnetic order in a Kitaev-Heisenberg model
论文作者
论文摘要
We investigate thermal Hall conductivity $κ_{xy}$ of a $J$-$K$ Kitaev-Heisenberg model with a Zeeman field in the $(111)$ direction in the light of the recent debate surrounding the possible re-emergence of Ising topological order (ITO) and half-quantized $κ_{xy}/T$ upon field-suppression of long-range magnetic order in Kitaev materials.我们使用基于纯化的有限温度张量网络方法，对激发的性质没有任何先前的假设：Majorana，Visons或Spin Wave。对于纯粹的Kitaev相互作用和字段$ h/k \ gtrsim 0.02 $足以降低ITO，峰值$κ_{xy}/t $单调从与较低的磁场相关的半量化中降低 - 一种使人联想起墨西哥波动校正的行为。对于较高的字段$ H/K \ gtrsim 0.1，$我们发现结果在质量上与自旋处理一致。在我们的$ j $ - $ k $型号（带有ferro- $ k $和Antiferro- $ j $）中，在野外抑制的磁性订单附近，我们发现$κ__{xy}/t $具有重要意义，峰值幅度超过了半程化，而单次启动的halmity rangiestion n hall hall dermant field field after n offien nive y。模型是一种微调效果，与ITO的Majorana Hall州无关。
We investigate thermal Hall conductivity $κ_{xy}$ of a $J$-$K$ Kitaev-Heisenberg model with a Zeeman field in the $(111)$ direction in the light of the recent debate surrounding the possible re-emergence of Ising topological order (ITO) and half-quantized $κ_{xy}/T$ upon field-suppression of long-range magnetic order in Kitaev materials. We use the purification-based finite temperature Tensor Network approach making no prior assumptions about the nature of the excitations: Majorana, visons or spin waves. For purely Kitaev interactions and fields $h/K \gtrsim 0.02$ sufficient to degrade ITO, the peak $κ_{xy}/T$ monotonously decreases from half-quantization associated with lower fields - a behavior reminiscent of vison fluctuation corrections. For higher fields $h/K\gtrsim 0.1,$ we find the results qualitatively consistent with a spin-wave treatment. In our $J$-$K$ model (with ferro-$K$ and antiferro-$J$), in the vicinity of field-suppressed magnetic order, we found $κ_{xy}/T$ to be significant, with peak magnitudes exceeding half-quantization followed by a monotonous decrease with increasing $h.$ We thus conclude that half-quantized thermal Hall effect in the vicinity of field suppressed magnetic order in our model, is a fine-tuning effect and is not associated with a Majorana Hall state with ITO.
