There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

We present a theory of the superfluid weight in multiband attractive Hubbard models within
the Bardeen-Cooper-Schrieffer (BCS) mean-field framework. We show how to separate the …

While advances in electronic band theory have brought to light new topological systems,
understanding the interplay of band topology and electronic interactions remains a frontier …

We study the interplay of topological band structure and conventional magnetic long-range
order in spinful Haldane model with on-site repulsive interaction. Using the dynamical …

In this Rapid Communication, we construct a large-N exactly solvable model to study the
interplay between interaction and topology, by connecting the Sachdev-Ye-Kitaev (SYK) …

We introduce the adiabatic quantum Monte Carlo (AQMC) method, where we gradually
crank up the interaction strength, as an amelioration of the sign problem. It is motivated by …

Quenching a quantum system involves three basic ingredients: the initial phase, the
postquench target phase, and quantum dynamics, which may carry the information of the …

We study quantum Hall states for two-component particles (hardcore bosons and fermions)
loading in topological lattice models. By tuning the interplay of interspecies and intraspecies …

Recent numerical simulations find a possible chiral spin-liquid state in the intermediate
coupling regime of the triangular lattice Hubbard model. Here we provide a simple picture …

Strong local interaction in systems with nontrivial topological bands can stabilize quantum
states such as magnetic topological insulators. We investigate the influence of the lattice …