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 …

The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …

A wide range of materials, like d-wave superconductors, graphene, and topological
insulators, share a fundamental similarity: their low-energy fermionic excitations behave as …

Understanding Dirac-like fermions has become an imperative in modern condensed matter
sciences: All across the research frontier, from graphene to high T c superconductors to the …

The “sign problem”(SP) is a fundamental limitation to simulations of strongly correlated
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …

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

Flat electronic bands can accommodate a plethora of interaction-driven quantum phases,
since kinetic energy is quenched therein and electronic interactions therefore prevail …

Artificial honeycomb lattices offer a tunable platform for studying massless Dirac
quasiparticles and their topological and correlated phases. Here we review recent progress …

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