Topological electronic flattened bands near or at the Fermi level are a promising route
towards unconventional superconductivity and correlated insulating states. However, the …

Exotic phases of matter can emerge from the interplay between strong electron interactions
and non-trivial topology. Materials that have non-dispersing bands in their electronic band …

Motivated by the recent experimental realizations of hyperbolic lattices in circuit quantum
electrodynamics and in classical electric-circuit networks, we study flat bands and band …

Symmetry-protected topological crystalline insulators (TCIs) have primarily been
characterized by their gapless boundary states. However, in time-reversal-(T-) invariant …

Benefited from the lower dimensionality compared to their 3D counterpart, 2D flat‐band
systems provide cleaner lattice models, easier experimental verification, and higher …

The hallmark of highly frustrated systems is the presence of many states close in energy to
the ground state. Fluctuations between these states can preclude the emergence of any form …

Since the discovery of magic-angle twisted bilayer graphene, flat bands in Dirac materials
have become a prominent platform for realizing strong correlation effects in electronic …

In this work, we develop a systematic method of constructing flat-band models with and
without band crossings. Our construction scheme utilizes the symmetry and spatial shape of …

Chiral exact flat bands (FBs) at charge neutrality have attracted much recent interest,
presenting an intriguing condensed-matter system to realize exotic many-body phenomena …

According to the Onsager's semiclassical quantization rule, the Landau levels of a band are
bounded by its upper and lower band edges at zero magnetic field. However, there are two …