Exotic quantum phases and phase transition in the strongly interacting Dirac systems have
attracted tremendous interests. On the other hand, non-Hermitian physics, usually …

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 …

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 …

Sign problem in quantum Monte Carlo (QMC) simulation appears to be an extremely hard
yet interesting problem. In this article, we present a pedagogical overview on the origin of …

Exponential observables, formulated as ln〈 e X ̂〉 where X ̂ is an extensive quantity, play
a critical role in the study of quantum many-body systems, examples of which include the …

The mystery of the infamous sign problem in quantum Monte Carlo simulations mightily
restricts applications of the method in fermionic and frustrated systems. A recent work …