量子几何对电子液体与晶体的相边界及集体激发的影响
The influence of quantum geometry on the phase boundary and collective excitations of electron liquids and crystals
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中文总结 AI 辅助
本研究将TDHF应用于λ-凝胶模型，揭示量子几何利于电子结晶、使相变向高密度移动，还可降低等离子体激元色散、抑制弗里德尔振荡，晶体中类似模式对应赝自旋斯格明子晶格呼吸模式。
中文摘要 AI 辅助
多层石墨烯系统的最新实验重新激发了对电子结晶的研究，此次研究纳入了量子几何。本研究将含时哈特里-福克（TDHF）方法应用于λ-凝胶模型，分析量子几何对电子液体-晶体相图的影响，以及其如何修改液体相和晶体相的集体模式与响应。与近期利用神经量子态得到的结果一致，我们发现量子几何有利于电子结晶，使相变向更高密度移动。我们还研究了TDHF在低密度费米液体基态下揭示的不稳定性，为驱动结晶相变的涨落提供了见解。我们进一步发现，量子几何降低了等离子体激元模式的色散，并在液体相深处抑制了弗里德尔振荡。通过按单个轨道解析密度响应，我们发现这种抑制是由谱重转移到异相轨道间模式导致的。最后，我们表明在晶体相中出现的类似模式对应于涌现实空间赝自旋斯格明子晶格的呼吸模式。
英文摘要
Recent experiments on multilayer graphene systems have reinvigorated the study of electron crystallization, now with the inclusion of quantum geometry. In this work, we apply time-dependent Hartree-Fock (TDHF) to the $λ$-jellium model to analyze the impact that quantum geometry has on the electronic liquid--crystal phase diagram and how it modifies the collective modes and responses of the liquid and crystal phases. In agreement with recent results utilizing neural quantum states, we find that quantum geometry favours electron crystallization, shifting the transition to higher densities. We also study the instabilities revealed by TDHF in the Fermi liquid ground state at low densities, providing insight into the fluctuations driving the crystallization transition. We further find that quantum geometry reduces the dispersion of the plasmon mode and suppresses Friedel oscillations deep in the liquid phase. Resolving the density response in terms of individual orbitals, we find that this suppression is caused by spectral weight transfer to an out-of-phase inter-orbital mode. Finally, we show that an analogous mode that emerges in the crystal phase corresponds to the breathing mode of an emergent real-space pseudospin skyrmion lattice.
发表机构
- University of Toronto（多伦多大学）
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