发表机构
University of California, Berkeley; Massachusetts Institute of Technology(加州大学伯克利分校; 麻省理工学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文推广了Becker等人关于扭曲双层石墨烯手性模型广义魔角四次方和的迹公式至更广泛的对称势函数类。
AI 中文摘要
Becker等人针对具有精确Bistritzer–MacDonald势的扭曲双层石墨烯(TBG)手性模型,得出了广义魔角$\theta$四次方和的显著迹公式:$\sum \theta^{4} = 8 \pi / \sqrt 3$。本文旨在将该公式推广到满足模型对称性的更大类势函数上。
英文摘要
Becker et al. produced a striking trace formula for the sum of fourth powers of generalized magic angles, $ θ$, for the chiral model of twisted bilayer graphene (TBG) with the exact Bistritzer--MacDonald potential: $\sum θ^{4} = 8 π/ \sqrt 3 $. The purpose of this note is to generalize this formula to a larger class of potentials satisfying the symmetries of the model.