Since graphene became available by a scotch tape technique, a vast class of two-
dimensional (2D) van der Waals (vdW) layered materials has been researched intensively …

The topology of the electronic structure of a crystal is manifested in its surface states.
Recently, a distinct topological state has been proposed in metals or semimetals whose spin …

van der Waals heterostructures constitute a new class of artificial materials formed by
stacking atomically thin planar crystals. We demonstrated band structure engineering in a …

Bilayer graphene has been a subject of intense study in recent years. The interlayer registry
between the layers can have dramatic effects on the electronic properties: for example, in …

Artificial honeycomb lattices offer a tunable platform for studying massless Dirac
quasiparticles and their topological and correlated phases. Here we review recent progress …

The next-nearest-neighbor hopping term t′ determines a magnitude, and, hence, the
importance of several phenomena in graphene that include self-doping due to broken bonds …

Three-dimensional topological semi-metals carry quasiparticle states that mimic massless
relativistic Dirac fermions, elusive particles that have never been observed in nature. As they …

We consider a quantum graph as a model of graphene in magnetic fields and give a
complete analysis of the spectrum, for all constant fluxes. In particular, we show that if the …

More is Different'(Anderson, 1972) in graphene. A bilayer and a twist spring surprises.
Recently discovered superconductivity (T $ _c\approx $1.7 K) at an ultra low doping density …

Symmetry or topology protected Dirac fermion states in two and three dimensions constitute
novel quantum systems that exhibit exotic physical phenomena. However, none of the …