We address the effective tight-binding Hamiltonian that describes the insulating Mott state of
twisted graphene bilayers at a magic angle. In that configuration, twisted bilayers form a …

The presence of “upstream” modes, moving against the direction of charge current flow in
the fractional quantum Hall (FQH) phases, is critical for the emergence of renormalized …

In monolayer graphene, the two inequivalent sublattices of carbon atoms combine with the
electron spin to give electrons a nearly fourfold degenerate internal isospin. At high …

Interacting electrons in flat bands give rise to a variety of quantum phases. One fundamental
aspect of such states is the ordering of the various flavours—such as spin or valley—that the …

Interesting non-Abelian states, eg, the Moore-Read Pfaffian and the anti-Pfaffian, offer
candidate descriptions of the ν= 5/2 fractional quantum Hall state. But, the significant …

We describe an experimental technique to measure the chemical potential μ in atomically
thin layered materials with high sensitivity and in the static limit. We apply the technique to a …

The electronic properties of graphene are described by a Dirac Hamiltonian with a four-fold
symmetry of spin and valley. This symmetry may yield novel fractional quantum Hall (FQH) …

The universal quantization of thermal conductance provides information on a state's
topological order. Recent measurements revealed that the observed value of thermal …

Monolayer graphene at charge neutrality in a quantizing magnetic field is a quantum Hall
ferromagnet. Due to the spin and valley (near) degeneracies, there is a plethora of possible …

Monolayer graphene under a strong magnetic field near charge neutrality manifests the
integer and fractional quantum Hall effects. Since only some of the four spin/valley flavors …