The interfaces between superconductors and other materials have long been established as
being an important part in the exploration of new physics to aid in our understanding of …

We show exactly that standard “invariants” advocated to define topology for noninteracting
systems deviate strongly from the Hall conductance whenever the excitation spectrum …

While the recent advances in topology have led to a classification scheme for electronic
bands described by the standard theory of metals, a similar scheme has not emerged for …

In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and
exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using …

Recently, models with long-range interactions—known as Hatsugai-Kohmoto (HK) models—
have emerged as a promising tool to study the emergence of superconductivity and topology …

Lattice symmetries are central to the characterization of electronic topology. Recently, it was
shown that Green's function eigenvectors form a representation of the space group. This …

In this paper we introduce a solvable two-orbital (two-band) model with an infinite-range
Hatsugai-Kohmoto interaction, which serves as a modified periodic Anderson model. Its …

Superconductivity in strongly correlated electrons can emerge out from a normal state that is
beyond the Landau's Fermi liquid paradigm, often dubbed as' non-Fermi liquid'. While the …

We establish the Hatsugai-Kohmoto model as a stable quartic fixed point (distinct from
Wilson-Fisher) by computing the β function in the presence of perturbing local interactions …

We show here two models where changing topology does not necessarily close the bulk
insulating charge gap as demanded in the standard noninteracting picture. From extensive …