We introduce the concept of “quantum geometric nesting”(QGN) to characterize the
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …

We show that for the magic-angle twisted bilayer graphene (TBG) away from the charge
neutrality point, although quantum Monte Carlo (QMC) simulations suffer from the sign …

We study the correlated insulating phases of twisted bilayer graphene (TBG) in the absence
of lattice strain at integer filling ν=±3. Using the self-consistent Hartree-Fock method on a …

Employing large-scale quantum Monte Carlo simulations, we systematically compute the
energy spectra of the two-dimensional (2D) spin-1/2 Heisenberg model with long-range …

The study of quantum criticality and entanglement in systems with long-range (LR)
interactions is still in its early stages, with many open questions remaining to be explored. In …

Motivated by recent development of the concept of the disorder operator and its relation with
entanglement entropy in bosonic systems, here we show the disorder operator successfully …

A growing body of experimental work suggests that magic angle twisted bilayer graphene
exhibits a “cascade” of spontaneous symmetry-breaking transitions, sparking interest in the …

While the ground-state phase diagram of the correlated flat-band systems has been
intensively investigated, the dynamic and thermodynamic properties of such lattice models …

Abstract The Mermin-Wagner theorem states that spontaneous continuous symmetry
breaking is prohibited in systems with short-range interactions at spatial dimension D≤ 2 …

We investigate the ground state phase diagram of an extended Hubbard model with a π-flux
hopping term at half filling on a square lattice, with unbiased large-scale auxiliary-field …