TB or not TB? A comparative study of twisted bilayer and alternating twist multilayer graphene

We perform a detailed comparative analysis between twisted bilayer graphene and alternating twist multilayer systems introduced in Ref. [1]. We start by showing how the mapping from multilayer to decoupled bilayers [1] is modified in the presence of vertical displacement field and in-plane magnetic field. We then show how the effects of lattice relaxation is modified in the multilayer setting due to the increased number of layers and the different magic angle. Finally, we generalize the strong coupling theory developed for twisted bilayer graphene [2-4] to other multilayer systems making quantitative predictions about the different correlated insulating and superconducting phases and their response to vertical displacement field and in-plane magnetic field. 

[1] Khalaf, Kruchkov, Tarnopolsky, Vishwanath Phys. Rev. B 100, 085109 (2019)

[2] Bultinck, Khalaf, Liu, Chatterjee, Vishwanath, Zaletel Phys. Rev. X 10, 031034 (2020)

[3] Khalaf, Chatterjee, Bultinck, Zaletel, Vishwanath Science advances 7 (19) (2021)

[4] Ledwith, Khalaf, Vishwanath, arXiv:2105.08858, Annals of Physics, (2021)