The hubbard model
DP Arovas, E Berg, SA Kivelson… - Annual review of …, 2022 - annualreviews.org
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 …
correlated electron systems and serves as the paradigmatic model of the field. Despite its …
Electronic properties of graphene-based bilayer systems
AV Rozhkov, AO Sboychakov, AL Rakhmanov, F Nori - Physics Reports, 2016 - Elsevier
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 …
of bilayer graphene systems. Three types of bilayer stackings are discussed: the AA, AB, and …
Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice
H Guo, X Zhu, S Feng, RT Scalettar - Physical Review B, 2018 - APS
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 …
energy band is studied with the determinant quantum Monte Carlo method (DQMC). We …
Accurate tight-binding models for the bands of bilayer graphene
J Jung, AH MacDonald - Physical Review B, 2014 - APS
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 …
maximally localized Wannier wave functions centered on the carbon sites, finding that both …
Observation of competing, correlated ground states in the flat band of rhombohedral graphite
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 …
quantum ground states, especially in partially filled, topological flat bands such as Landau …
Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
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 …
generic local or short-range electronic interactions in monolayer and the Bernal bilayer …
Wannier function approach to realistic Coulomb interactions in layered materials and heterostructures
We introduce an approach to derive realistic Coulomb interaction terms in freestanding
layered materials and vertical heterostructures from ab initio modeling of the corresponding …
layered materials and vertical heterostructures from ab initio modeling of the corresponding …
Twist-angle sensitivity of electron correlations in moiré graphene bilayers
Motivated by the recent observation of correlated insulator states and unconventional
superconductivity in twisted bilayer graphene, we study the dependence of electron …
superconductivity in twisted bilayer graphene, we study the dependence of electron …
Importance of long-ranged electron-electron interactions for the magnetic phase diagram of twisted bilayer graphene
Electron-electron interactions are intrinsically long ranged, but many models of strongly
interacting electrons only take short-ranged interactions into account. Here, we present …
interacting electrons only take short-ranged interactions into account. Here, we present …
Interaction-induced Dirac fermions from quadratic band touching in bilayer graphene
We revisit the effect of local interactions on the quadratic band touching (QBT) of the Bernal
honeycomb bilayer model using renormalization group (RG) arguments and quantum Monte …
honeycomb bilayer model using renormalization group (RG) arguments and quantum Monte …