平带系统中复制带的级联：扭曲双层石墨烯的预测
Cascade of replica bands in flat band systems: predictions for twisted bilayer graphene
摘要：
我们研究了具有一个或多个接近费米能级的平坦电子带和相对较大的声子能量尺度的系统中电子-声子相互作用（EPI）的影响。在求解自洽全带宽Eliashberg方程后，我们计算了角分辨光发射光谱和扫描隧道光谱/显微镜光谱。我们得到一个序列的准粒子副本带在正常和超导状态，起源于频率依赖的电子质量重整化函数的功能。我们表明，这些副本频带可以用来提取相关的声子能量尺度的实验。特别关注扭曲的双层石墨烯，我们预测复制带的形成，观察时，将揭示EPI在这个原型的平带系统中的作用。
英文摘要：
We investigate the effect of electron-phonon interactions (EPI) in systems exhibiting one or more flat electron bands close to the Fermi level and a comparatively large phonon energy scale. After solving the self-consistent full-bandwidth Eliashberg equations, we compute Angular Resolved Photo Emission Spectroscopy and Scanning Tunneling Spectroscopy/Microscopy spectra. We obtain a sequence of quasiparticle replica bands in both the normal and superconducting states that originate from frequency dependent features of the electron mass renormalization function. We show that these replica bands can be used to extract the relevant phonon energy scale from experiments. Focusing in particular on twisted bilayer graphene, we predict replica-band formation which, when observed, will shed light on the role of EPI in this archetypal flat-band system.
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