具有动量弛豫的全息模型中低温量子修正全息输运
Low-temperature Quantum-corrected Holographic Transport with Momentum Relaxation
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中文总结 AI 辅助
研究具有动量弛豫的全息模型中近极端黑膜近 AdS₂ 喉部涨落引起的输运量子修正，通过计算相关物理量，发现 Schwarzian 量子涨落导致低温输运增强，不同标度维数算符有不同温度依赖特征，确定了近视界量子引力在全息量子物质输运性质中的特征。
中文摘要 AI 辅助
我们确定了在具有动量弛豫的全息模型中，由近极端黑膜的近 AdS₂ 喉部涨落引起的输运量子修正。通过计算零化学势和有限化学势下的剪切粘度和电导率，我们发现了由 Schwarzian 量子涨落产生的普遍低温输运增强。具体而言，从推迟格林函数提取的输运系数在整个 CT≪1 区域内增加。对于具有 Schwarzian 标度维数 Δ>1 的算符，这种增强之前在特征温度 T_min∝C⁻¹ 处有一个普遍最小值，导致与许多关联材料中观察到的非单调温度依赖性惊人相似。相比之下，对于与电导率相关的 Δ = 1 的情况，输运系数单调地向一个恒定值演化。我们的结果确定了近视界量子引力在全息量子物质输运性质中的普遍特征。
英文摘要
We determine the quantum corrections to transport arising from fluctuations of the near-AdS${}_2$ throat of near-extremal black branes in holographic models with momentum relaxation. By computing the shear viscosity and electrical conductivity at both zero and finite chemical potential, we uncover a universal low-temperature enhancement of transport generated by Schwarzian quantum fluctuations. Specifically, transport coefficients extracted from retarded Green's functions increase throughout the regime $C T \ll 1$. For operators with Schwarzian scaling dimension $Δ>1$, this enhancement is preceded by a universal minimum at a characteristic temperature $T_{\rm min} \propto C^{-1}$, leading to a non-monotonic temperature dependence strikingly similar to that observed in many correlated materials. In contrast, for the case $Δ=1$, relevant for the electrical conductivity, the transport coefficient evolves monotonically toward a constant value. Our results identify universal signatures of near-horizon quantum gravity in the transport properties of holographic quantum matter.
