The flattening of single-particle band structures plays an important role in the quest for novel
quantum states of matter owing to the crucial role of interactions. Recent advances in theory …

We investigate the occurrence of n-fold exceptional points (EPs) in non-Hermitian systems,
and show that they are stable in n-1 dimensions in the presence of antiunitary symmetries …

Exceptional points are a unique feature of non-Hermitian systems at which the eigenvalues
and corresponding eigenstates of a Hamiltonian coalesce. Many intriguing physical …

Van Hove points are special points in the energy dispersion, where the density of states
exhibits analytic singularities. When a Van Hove point is close to the Fermi level, tendencies …

Beyond the two-dimensional saddle-point Van Hove singularities (VHSs) with logarithmic
divergences in the density of states, recent studies have identified higher-order VHSs with …

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 …

Twisted trilayer graphene (TTG) has recently emerged experimentally as a fascinating
playground to study correlated and exotic superconducting phases. We have found that TTG …

Dispersion relations govern wave behaviors, and tailoring them is a grand challenge in
wave manipulation. We demonstrate the inverse design of phononic dispersion using …

A critical point of the energy dispersion is the momentum where electron velocity vanishes.
At the corresponding energy, the density of states (DOS) exhibits nonanalyticity such as …

We analyze the weak-coupling instabilities that may arise when multiple high-order Van
Hove points are present inside the Brillouin zone. The model we consider is inspired by …