ABC trilayer graphene aligned with hexagonal boron nitride (ABC/hBN) and other moir\'e systems have shown insulating phases at integer fillings of the lattice. The role Mott physics in these states has been questioned by observations correlated a nonaligned trilayer, but recent photocurrent experiments samples are consistent existence state half filling. Using dynamical mean-field theory we add...

The Hamiltonian of the magic-angle twisted symmetric trilayer graphene (TSTG) can be decomposed into a TBG-like flat band and high-velocity Dirac fermion Hamiltonian. We use Hartree-Fock mean field approach to study projected Coulomb interacting TSTG developed in C\u{a}lug\u{a}ru et al. [Phys. Rev. B 103, 195411 (2021)] at integer fillings $\nu=-3, -2, -1$ $0$ measured from charge neutrality. p...

Stacking three monolayers of graphene with a twist generally produces two moir\'e patterns. A structure then emerges at larger distance where the layers periodically realign. We devise here an effective low-energy theory to describe spectrum distances than lengthscale. In each valley underlying graphene, comprises one Dirac cone ${\bf \Gamma}_M$ point Brillouin zone and weakly gapped points K}_...

We discuss a Kohn-Luttinger-like mechanism for superconductivity in Bernal bilayer graphene and rhombohedral trilayer graphene. Working within the continuum model description, we find that screened long-range Coulomb interaction alone gives rise to with critical temperatures agree experiments. observe order parameter changes sign between valleys, which implies both materials are valley-singlet,...

Twisted trilayer graphene has recently been demonstrated to host a robust superconducting phase, with experiments demonstrating ``reentrant'' phenomenon: large magnetic fields destroy superconductivity, but still larger bring it back life. In this work, the authors use simple insights from theory and experiment provide an understanding of phenomenon, along way arguing that superconductor is lik...

Bernal (ABA stacking order) and rhombohedral (ABC) trilayer graphene (3LG) are characterized by Raman spectroscopy. From a systematic experimental and theoretical analysis of the Raman modes in both of these 3LGs, we show that the G band, G' (2D) band, and the intermediate-frequency combination modes of 3LGs are sensitive to the stacking order of 3LG. The phonon wavevector q, that gives the dou...