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首页> 外文期刊>Physical Review X >Approximately Quantized Thermal Hall Effect of Chiral Liquids Coupled to Phonons
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Approximately Quantized Thermal Hall Effect of Chiral Liquids Coupled to Phonons

机译：耦合到声子的手性液体的大约量化的热霍尔效应

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The recent observation of a half-integer quantized thermal Hall effect in α ? RuCl 3 is interpreted as a unique signature of a chiral spin liquid with a Majorana edge mode. A similar quantized thermal Hall effect is expected in chiral topological superconductors. The unavoidable presence of gapless acoustic phonons, however, implies that, in contrast to the quantized electrical conductivity, the thermal Hall conductivity κ x y is never exactly quantized in real materials. Here, we investigate how phonons affect the quantization of the thermal conductivity, focusing on the edge theory. As an example, we consider a Kitaev spin liquid gapped by an external magnetic field coupled to acoustic phonons. The coupling to phonons destroys the ballistic thermal transport of the edge mode completely, as energy can leak into the bulk, thus drastically modifying the edge picture of the thermal Hall effect. Nevertheless, the thermal Hall conductivity remains approximately quantized, and we argue that the coupling to phonons to the edge mode is a necessary condition for the observation of the quantized thermal Hall effect. The strength of this edge coupling does, however, not affect the conductivity. We argue that for sufficiently clean systems the leading correction to the quantized thermal Hall effect, Δ κ x y / T ～ sign ( B ) T 2 , arises from an intrinsic anomalous Hall effect of the acoustic phonons due to Berry phases imprinted by the chiral (spin) liquid in the bulk. This correction depends on the sign but not the amplitude of the external magnetic field.
机译：最近观察α中的半整数量化热霍尔效应？ RuCl 3被解释为具有Majorana Edge模式的手性旋转液体的独特签名。手性拓扑超导体中预期了类似的量化热霍尔效应。然而，无形声子宫的不可避免的存在意味着与量化的电导率相比，热霍尔电导率κx y从未完全量化在真实材料中。在这里，我们研究了函数如何影响导热率的量化，聚焦在边缘理论上。作为示例，我们考虑由耦合到声学声子的外部磁场覆盖的Kitaev旋转液体。耦合到声子被完全破坏边缘模式的弹道热传输，因为能量可以泄漏到散装中，从而大大修改了热霍尔效应的边缘图像。然而，热霍尔电导率保持大致量化，我们认为与声子耦合到边缘模式是观察量化热霍尔效应的必要条件。然而，这种边缘耦合的强度使得不影响电导率。我们认为，对于足够清洁的系统，对量化的热霍尔效应的前导校正，Δκxy/ t〜符号（b）t 2产生，由于手性印记的浆果阶段，所以来自声子宫的内在异常霍采效果（散装中的液体。该校正取决于标志，而不是外部磁场的幅度。

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