论文标题
边缘扩散的崩溃
Breakdown of Diffusion on the Edge
论文作者
论文摘要
我们表明，肮脏的量子厅系统在其边缘表现出较大的流体动力波动，从而导致Kardar-Parisi-Zhang普遍性$ω\ simeq ck-i \ Mathcal d k^{3/2} $在Kardar-Parisi-Zhang普遍性类别中异常减弱的电荷激发。边缘的耗散光电电导率在低频下是单数，$σ（ω）\ sim 1/ω^{1/3} $。这些结果是电荷连续性关系，手性异常的直接后果和边缘上的热化 - 特别是不假定翻译不变性。热量的扩散类似地分解，其通用类别取决于散装热霍尔电导率是否消失。我们进一步建立了向表面手性金属波动的流体动力学理论，其中电荷波动可以进行对数校正运输。
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 $ω\simeq ck - i \mathcal D k^{3/2} $. The dissipative optical conductivity of the edge is singular at low frequencies $σ(ω) \sim 1/ω^{1/3}$. 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.
