发表机构
Center for Computational Quantum Physics, Flatiron Institute; Department of Physics, The University of Texas at Austin; Materials Science Division, Argonne National Laboratory; Center for Quantum Phenomena, Department of Physics, New York University; Department of Physics, Columbia University; Department of Physics and Astronomy, Stony Brook University（Flatiron Institute 计算量子物理中心; 德克萨斯大学奥斯汀分校物理系; 阿贡国家实验室材料科学部; 纽约大学物理系量子现象中心; 哥伦比亚大学物理系; 石溪大学物理与天文系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对莫尔材料中陈能带的竞争问题，基于阿哈罗诺夫-卡希尔能带提出广义维格纳晶体的试探波函数，通过能量对比绘制相图，揭示量子几何控制的零点涨落是稳定广义维格纳晶体的机制。
AI 中文摘要
莫尔材料中存在分数量子霍尔绝缘体和电子晶体且二者紧密相邻，但选择二者的机制仍是未解决的问题。我们在具有理想但动量依赖量子几何的陈能带——阿哈罗诺夫-卡希尔能带中研究这种竞争，提出广义维格纳晶体的试探波函数，并将其能量与竞争的类劳克林态能量对比，绘制填充因子ν=1/m下作为几何非均匀度函数的相图。本研究确定广义维格纳晶体电荷密度的量子几何控制零点涨落是控制其相对稳定性的机制，暗示晶体-液相边界存在一种量子林德曼判据。
英文摘要
Moiré materials host fractional Chern insulators and electron crystals in close proximity, but the mechanism selecting between them remains an open question. We address this competition in Chern bands with ideal but momentum-dependent quantum geometry -- Aharonov-Casher bands. We present an ansatz wave function for generalized Wigner crystals and, by comparing its energy to that of the competing Laughlin-like state, map out the phase diagram at filling fraction $ν=1/m$ as a function of the degree of geometric non-uniformity. Our work identifies quantum geometry-controlled zero point fluctuations of the charge density of the generalized Wigner crystal as the mechanism controlling its relative stability, implying a kind of quantum Lindemann criterion for the crystal-liquid phase boundary.
Comments16 pages, 7 figures
