Moiré materials have emerged as a platform for exploring the physics of strong electronic
correlations and non-trivial band topology. Here we review the recent progress in …

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 …

The evolution of a Landau Fermi liquid into a non-magnetic Mott insulator with increasing
electronic interactions is one of the most puzzling quantum phase transitions in physics …

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel
ordered states and intriguing magnetic phases, such as quantum spin liquids,–. Promising …

The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

We propose a moiré bilayer as a platform where exotic quantum phases can be stabilized
and electrically detected. Moiré bilayers consist of two separate moiré superlattice layers …

We present a comprehensive dynamical mean field study of the triangular lattice moiré
Hubbard model, which is believed to represent the physics of moiré bilayer transition metal …

Accurate simulations of the two-dimensional (2D) Hubbard model constitute one of the most
challenging problems in condensed matter and quantum physics. Here we develop a …

We study kinetic magnetism for the Fermi-Hubbard model in triangular lattices. We focus on
the regime of strong interactions, U≫ t, and filling factors around one electron per site. For …

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum
state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model …