Extrinsic phonon thermal Hall transport from Hall viscosity
Extrinsic phonon thermal Hall transport from Hall viscosity
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DOI：
10.1103/physrevb.103.205115
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发表时间：
2021-05-07
影响因子：
3.7
通讯作者：
Sachdev, Subir
中科院分区：
文献类型：
--
作者：
Guo, Haoyu;Sachdev, Subir
受最近的实验上的声子贡献的热霍尔效应在铜氧化物的启发，我们提出了一个分析的手征声子输运。我们假设手征行为源于非零声子霍尔粘性，这可能是由与电子的耦合引起的。具有非零声子霍尔粘度的声子具有固有的霍尔热导率，但是Chen等人[Phys.Rev.Lett. 124，167601（2020）]认为，显著更大的霍尔热导率可以由与杂质密度成反比的非本征贡献引起。我们解决了玻尔兹曼方程的声子输运和计算的温度（T）依赖性的热霍尔电导源于斜散射的点状杂质。我们发现，热霍尔传输的主要来源是杂质斜散射通道与相反的奇偶校验之间的干扰。在d维低T下，Hall热导率与Td+2相似，当T > T-imp时，Hall热导率具有T无关的窗口，其中T-imp由具有相反宇称的散射势之比决定。我们还考虑了样品边界的非镜面散射的作用，发现它对低T下的热霍尔输运的修正可以忽略不计
Motivated by recent experiments on the phonon contribution to the thermal Hall effect in the cuprates, we present an analysis of chiral phonon transport. We assume the chiral behavior arises from a nonzero phonon Hall viscosity, which is likely induced by the coupling to electrons. Phonons with a nonzero phonon Hall viscosity have an intrinsic thermal Hall conductivity, but Chen et al. [Phys. Rev. Lett. 124, 167601 (2020)] have argued that a significantly larger thermal Hall conductivity can arise from an extrinsic contribution which is inversely proportional to the density of impurities. We solve the Boltzmann equation for phonon transport and compute the temperature (T) dependence of the thermal Hall conductivity originating from skew scattering off pointlike impurities. We find that the dominant source for thermal Hall transport is an interference between impurity skew-scattering channels with opposite parity. The thermal Hall conductivity similar to Td+2 at low T in d dimensions, and has a window of T-independent behavior for T > T-imp, where T-imp is determined by the ratio of scattering potentials with opposite parity. We also consider the role of nonspecular scattering off the sample boundary, and find that it leads to negligible corrections to thermal Hall transport at low T