Reliable simulations of correlated quantum systems, including high-temperature
superconductors and frustrated magnets, are increasingly desired nowadays to further our …

We review analytical and numerical studies of correlated insulating states in twisted bilayer
graphene, focusing on real-space lattice models constructions and their unbiased quantum …

Using large-scale quantum Monte Carlo simulations, we exactly solve a model of fermions
hopping on the honeycomb lattice with cluster charge interactions, which has been …

Twisted bilayer graphene (TBG) provides a unique framework to elucidate the interplay
between strong correlations and topological phenomena in two-dimensional systems. The …

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

The sign problem is a major obstacle in quantum Monte Carlo simulations for many-body
fermion systems. We examine this problem with a new perspective based on the Majorana …

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 …

We consider a model of Dirac fermions in 2+ 1 dimensions with dynamically generated,
anticommuting SO (3) Néel and Z 2 Kekulé mass terms that permits sign-free quantum …

We show how to perform exact diagonalizations of SU (N) Fermi-Hubbard models on L-site
clusters separately in each irreducible representation (irrep) of SU (N). Using the …

A unified theory of quantum critical points beyond the conventional Landau–Ginzburg–
Wilson paradigm remains unknown. According to Landau cubic criterion, phase transitions …