Graphene moiré superlattices show an abundance of correlated insulating, topological, and
superconducting phases. Whereas the origins of strong correlations and nontrivial topology …

We present comprehensive theoretical studies on the lattice relaxation and the electronic
structures in general nonsymmetric twisted trilayer graphenes. By using an effective …

Magic-angle twisted trilayer graphene (MATTG) hosts flat electronic bands, and exhibits
correlated quantum phases with electrical tunability. In this work, we demonstrate a …

Recently, Song and Bernevig [Phys. Rev. Lett. 129, 047601 (2022) 0031-9007
10.1103/PhysRevLett. 129.047601] reformulated magic-angle twisted bilayer graphene as a …

The superconducting state and mechanism are among the least understood phenomena in
twisted graphene systems. Recent tunneling experiments indicate a transition between …

We consider a configuration of three stacked graphene monolayers with equal consecutive
twist angles θ. Remarkably, in the chiral limit when interlayer coupling terms between AA …

We consider a configuration of three stacked graphene monolayers with commensurate twist
angles θ 12/θ 23= p/q, where p and q are coprime integers with 0< p<| q| and q can be …

Stacking three monolayers of graphene with a twist generally produces two moiré patterns.
A moiré of moiré structure then emerges at larger distance where the three layers …

We study trilayer graphene arranged in a staircase stacking configuration with equal
consecutive twist angle. On top of the moiré crystalline pattern, a supermoiré long …

Helical twisted trilayer graphene exhibits zero-energy flat bands with large degeneracy in
the chiral limit. The flat bands emerge at a discrete set of magic twist angles and feature …