The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

The theory of random matrices originated half a century ago as a universal description of the
spectral statistics of atoms and nuclei, dependent only on the presence or absence of …

Emergence of exceptional points in two dimensions is one of the remarkable phenomena in
non-Hermitian systems. We here elucidate the impacts of symmetry on the non-Hermitian …

We present a unified perspective on symmetry protected topological (SPT) phases in one
dimension and address the open question of what characterizes their phase transitions. In …

We propose a novel type of skin effects in non-Hermitian quantum many-body systems that
we dub a “non-Hermitian Mott skin effect.” This phenomenon is induced by the interplay …

Topological insulators have become one of the most active research areas in condensed
matter physics. This article reviews progress on the topic of electronic correlation effects in …

We demonstrate the emergence of a topological ordered phase for non-Hermitian systems.
Specifically, we elucidate that systems with non-Hermitian two-body interactions show a …

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

We study chiral models in one spatial dimension, both static and periodically driven. We
demonstrate that their topological properties may be read out through the long time limit of a …

We use a real-space slave-rotor theory of the physics of topological Mott insulators, using
the Kane-Mele-Hubbard model as an example, and show that a topological gap in the …