The repulsive Hubbard model has been immensely useful in understanding strongly
correlated electron systems and serves as the paradigmatic model of the field. Despite its …

We review the electronic properties of bilayer graphene, beginning with a description of the
tight-binding model of bilayer graphene and the derivation of the effective Hamiltonian …

Rhombohedral-stacked multilayer graphene hosts a pair of flat bands touching at zero
energy, which should give rise to correlated electron phenomena that can be tuned further …

The recent discovery of topological insulators has revived interest in the band topology of
insulators. In this Letter, we extend the topological classification of band structures to include …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

A wide range of materials, like d-wave superconductors, graphene, and topological
insulators, share a fundamental similarity: their low-energy fermionic excitations behave as …

We show that the Wannier obstruction and the fragile topology of the nearly flat bands in
twisted bilayer graphene at magic angle are manifestations of the nontrivial topology of two …

The electronic phase diagrams of many highly correlated systems, and, in particular, the
cuprate high temperature superconductors, are complex, with many different phases …

Topological phases with insulating bulk and gapless surface or edge modes have attracted
intensive attention because of their fundamental physics implications and potential …

The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …