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 …

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 …

Predicting the fate of an interacting system in the limit where the electronic bandwidth is
quenched is often highly nontrivial. The complex interplay between interactions and …

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 …

In a flat band superconductor, bosonic excitations can disperse while unpaired electrons are
immobile. To study this strongly interacting system, we construct a family of multi-band …

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 …

A topological Mott insulator (TMI) with spontaneous time-reversal symmetry breaking and
nonzero Chern number has been discovered in a real-space effective model for twisted …