Breakdown of Diffusion on the Edge
Breakdown of Diffusion on the Edge
复制标题
边缘扩散分解
DOI：
--
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Paolo Glorioso
中科院分区：
文献类型：
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作者：
Luca V. Delacrétaz;Paolo Glorioso
我们表明，脏量子霍尔系统在其边缘表现出较大的流体动力学波动，导致 Kardar-Parisi-Zhang 通用类 $omega simeq ck - i mathcal D k^{3/2} $ 中异常阻尼电荷激发。边缘的耗散光导率在低频 $sigma(omega) sim 1/omega^{1/3}$ 处是奇异的。这些结果是电荷连续性关系、手性异常和边缘热化的直接结果——特别是没有假设平移不变性。热扩散同样会发生故障，其通用性等级取决于霍尔热传导率是否消失。我们进一步建立了表面手性金属的波动流体动力学理论，其中电荷波动对输运进行对数校正。
We show that dirty Quantum Hall systems exhibit large hydrodynamic fluctuations at their edge that lead to anomalously damped charge excitations in the Kardar-Parisi-Zhang universality class $omega simeq ck - i mathcal D k^{3/2} $. The dissipative optical conductivity of the edge is singular at low frequencies $sigma(omega) sim 1/omega^{1/3}$. These results are direct consequences of the charge continuity relation, the chiral anomaly, and thermalization on the edge -- in particular translation invariance is not assumed. Diffusion of heat similarly breaks down, with a universality class that depends on whether the bulk thermal Hall conductivity vanishes. We further establish the theory of fluctuating hydrodynamics for surface chiral metals, where charge fluctuations give logarithmic corrections to transport.
具有弹性和耗散反向散射的 Luttinger 液体中的中间固定点
影响因子：
3.7
作者：
Alexander Altland;Yuval Gefen;Bernd Rosenow
通讯作者：
Bernd Rosenow