论文标题
Moiré材料中的量子公制诱导相
Quantum Metric Induced Phases in Moiré Materials
论文作者
论文摘要
我们表明，通常，量子几何形状在确定分数带填充物在强相关的晶格模型中的低能物理学中起着重要作用。我们确定了Fubini研究指标决定基础状态的局限性，并表明这与导致对称性破坏和相互作用驱动的费米液体的Moiré材料高度相关。这种现象学源于量子几何形状与相互作用之间存在的显着相互作用，而这种相互作用在连续的Landau级别中不存在，但在晶格模型中通常存在这些术语倾向于不稳定的，例如分数Chern绝缘子。我们解释了这是由于电子和孔之间的基本不对称性，用于频带投射的正常有序相互作用，以及从自洽的哈特里福克计算的角度来看。这些关于量子指标转弯作用的基本见解，当占主导地位时，一个非常强烈的问题是有效弱耦合的问题，并且也可以作为设计材料设置的指导原理。
We show that, quite generally, quantum geometry plays a major role in determining the low-energy physics in strongly correlated lattice models at fractional band fillings. We identify limits in which the Fubini Study metric dictates the ground states and show that this is highly relevant for Moiré materials leading to symmetry breaking and interaction driven Fermi liquids. This phenomenology stems from a remarkable interplay between the quantum geometry and interactions which is absent in continuum Landau levels but generically present in lattice models where these terms tend to destabilize e.g. fractional Chern insulators. We explain this as a consequence of the fundamental asymmetry between electrons and holes for band projected normal ordered interactions, as well as from the perspective of a self-consistent Hartree-Fock calculation. These basic insights about the role of the quantum metric turn, when dominant, an extremely strongly coupled problem into an effectively weakly coupled one, and may also serve as a guiding principle for designing material setups.
