We introduce a universal methodology for generating and manipulating altermagnetism in
two-dimensional (2D) magnetic Van der Waals (MvdW) materials through twisting. We find …

The recent discovery of superconductivity in magic-angle twisted bilayer graphene (TBLG)
has sparked a renewed interest in the strongly-correlated physics of sp 2 carbons, in stark …

Flat band electronic modes in twisted graphene bilayers are responsible for
superconducting and other highly correlated electron-electron phases. Although some hints …

We analyze the electronic structure of twisted bilayer graphene (TBG) nanoribbons close to
the magic angle. We describe a transition from an incomplete to a complete moiré structure …

We provide a topological concept to characterize energy gaps in general two-dimensional
quasiperiodic systems. We show that every single gap is uniquely characterized by a set of …

The chiral Hamiltonian for twisted graphene bilayers is analyzed in terms of its squared
Hamiltonian which removes the particle-hole symmetry and thus one bipartite lattice …

We present here a Hofstadter's butterfly spectrum for the magic-angle twisted bilayer
graphene obtained using an ab initio-based multimillion-atom tight-binding model. We …

We study the edge spectrum of twisted sheets of single layer and bilayer graphene in cases
where the continuum model predicts a valley Chern insulator—an insulating state in which …

We study the topological gap labeling of general three-dimensional (3D) quasicrystals and
we find that every gap in the spectrum is characterized by a set of third Chern numbers. We …

We study topological charge pumping in one-dimensional quasiperiodic systems. Since
these systems lack periodicity, we cannot use the conventional approach based on the …