Quantum phases in twisted graphene and Moire profiles

扭曲的石墨烯层（扭曲双层石墨烯）形成极其平坦的能带，并表现出令人着迷的丰富量子相。在实验上，人们在魔角附近和狭窄的密度范围内观察到相关绝缘体、陈绝缘体、超导性、铁磁性和其他相。由于平带，扭曲石墨烯中的电子相互作用得到有效增强。一方面，这是许多相关相的基础，另一方面，这对它们的理论描述是一个挑战。该项目的中心目标是对相图和扭曲石墨烯的物理现象有一个全面的理论理解。我们将强调超导和对称破缺绝缘体相。从双层开始，我们还将考虑三层以及其他多层系统，它们表现出类似的相图。我们将特别提出实验签名，这有助于更好地表征观察到的排序现象。

Twisted layers of graphene (twisted bilayer graphene) form extremely flat bands and exhibit a fascinating abundance of quantum phases. Experimentally, one observes - near a magic angle and within a narrow range of densities - correlated insulators, Chern insulators, superconductivity, ferromagnetism, and other phases. Due to the flat bands, the electronic interactions are effectively strongly enhanced in twisted graphene. On the one hand, this underlies the many correlated phases, on the other hand, this is a challenge for their theoretical description. The central goal of this project is to develop a comprehensive theoretical understanding of the phase diagram and the physics of twisted graphene. We will emphasize superconducting and symmetry-breaking insulator phases. Beginning with bilayers, we will also consider trilayers as well as other multi-layer systems, which exhibit similar phase diagrams. We will specifically propose experimental signatures, which contribute to a better characterization of the observed ordering phenomena.