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 …

This article reviews the theoretical and experimental work related to the electronic properties
of bilayer graphene systems. Three types of bilayer stackings are discussed: the AA, AB, and …

The pairing symmetry of the Hubbard Hamiltonian on a triangle lattice with a nearly flat low-
energy band is studied with the determinant quantum Monte Carlo method (DQMC). We …

We derive an ab initio π-band tight-binding model for AB stacked bilayer graphene based on
maximally localized Wannier wave functions centered on the carbon sites, finding that both …

In crystalline solids, the interactions of charge and spin can result in a variety of emergent
quantum ground states, especially in partially filled, topological flat bands such as Landau …

Performing a leading-order renormalization group analysis, here we compute the effects of
generic local or short-range electronic interactions in monolayer and the Bernal bilayer …

Motivated by the recent observation of correlated insulator states and unconventional
superconductivity in twisted bilayer graphene, we study the dependence of electron …

Electron-electron interactions are intrinsically long ranged, but many models of strongly
interacting electrons only take short-ranged interactions into account. Here, we present …

We introduce an approach to derive realistic Coulomb interaction terms in freestanding
layered materials and vertical heterostructures from ab initio modeling of the corresponding …

Twisted bilayer graphene (tBLG) has recently emerged as a new platform for studying
electron correlations, the strength of which can be controlled via the twist angle. Here, we …