应变石墨烯中的 Unruh 效应与 Takagi 统计反转
Unruh Effect and Takagi's Statistics Inversion in Strained Graphene
AI总结：
研究应变石墨烯中空间变化隧穿如何产生加速观察者的 Rindler 哈密顿量，实现 Unruh 效应类比，并探讨 Takagi 统计反转在实验中的表现及对电导率和系统能量的影响。
摘要：
我们提出了一项理论研究，探讨蜂窝晶格中空间变化的准粒子速度（可通过使用应变石墨烯或在具有局部隧穿幅值空间依赖性的工程化冷原子光学晶格中实现）如何产生体现观察者在 Minkowski 时空中加速的 Rindler 哈密顿量。在此设置下，空间变化隧穿（或应变）的突然开启会导致电子-空穴对的自发产生，这是一种以 Unruh 温度为特征的 Unruh 效应的类比版本。我们讨论了这种热行为以及 Takagi 统计反转如何在光电子能谱和扫描隧道显微镜实验中显现。我们还计算了平均电子电导率，发现它随频率 $ω$ 线性增长。最后，我们发现由于上述统计反转，在零环境温度下系统总能量看起来类似于光子的 Planck 黑体结果，而对于初始热激发费米子态，总内能会经历受激粒子减少。
英文摘要：
We present a theoretical study of how a spatially-varying quasiparticle velocity in honeycomb lattices, achievable using strained graphene or in engineered cold-atom optical lattices that have a spatial dependence to the local tunneling amplitude, can yield the Rindler Hamiltonian embodying an observer accelerating in Minkowski spacetime. Within this setup, a sudden switch-on of the spatially-varying tunneling (or strain) yields a spontaneous production of electron-hole pairs, an analogue version of the Unruh effect characterized by the Unruh temperature. We discuss how this thermal behavior, along with Takagi's statistics inversion, can manifest themselves in photo-emission and scanning tunneling microscopy experiments. We also calculate the average electronic conductivity and find that it grows linearly with frequency $ω$. Finally, we find that the total system energy at zero environment temperature looks like Planck's blackbody result for photons due to the aforementioned statistics inversion, whereas for an initial thermally excited state of fermions, the total internal energy undergoes stimulated particle reduction.
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